APPENDIX. PUBLICATIONS OF A. CHARNES

1. "A Note on Klitchieff's Paper on 'Buckling of Continuous Beams on Elastic Supports'," Quarterly Journal of Mechanics and Applied Mathematics, Vol. IV, Part 3, September 1951.

2. "Plastic Collapse and Linear Programming," Bulletin of the American Mathematical Society, Vol. 57, No.6, November 1951. p. 480, with H.J. Greenberg.

3. "Note on the Zeros of Modified Bessel Function Derivatives," Bulletin of the Calcutta Mathematical Society, Vol. 43, No.4, December 1951, pp. 133-134.

4. "A Rule for Optimization in New Item Production," Proceedings of the 2nd Annual Logistics Research Conference, George Washington University, Office of Naval Research, 1952, with W.W. Cooper.

5. "On Some Cavitational Flows in Lubrication," Proceedings of the International Congress of Mathematicians (1950), Vol. I, March 1952, with E. Saibel.

6. "The Reynolds Lubrication Equation with Smooth Outflow," Proceedings of the First National Congress of Applied Mechanics (1951), March 1952, pp. 875-881, with R. Sedney and E. Saibel.

539

540 APPENDIX

7. "Blending Aviation Gasolines-A Study in Programming Inter­dependent Activities in an Integrated Oil Company," Econometrica, Vol. 20, No.2, April 1952, pp. 135-159, with W.W. Cooper and B. Mellon.

8. "Optimality and Degeneracy in Linear Programming," Econometrica, Vol. 20, No.2, April 1952, pp. 160-170.

9. "Computational Problems of Linear Programming: A Modified Simplex Method for Control of Roundoff Error in Linear Programming," Proceedings of the Association for Computing Machinery (May 2-3, 1952), 1952, pp. 97-98, with C.E. Lemke.

10. "On the Energy Equation for Fluid-Film Lubrication," Proceedings of the Royal Society of London, Series A, Vol. 214, June 1952, pp. 133-136, with F. Osterle and E. Saibel.

11. "Studies in the Hydrodynamic Theory of Lubrication I: On the Solution of the Reynolds Equation for Slider Bearing Lubrication," Transactions of the ASME, Vol. 74, July 1952, pp. 867-873, with E. Saibel. Presented at the Annual Meeting of the American Society of Mechanical Engineers, Atlantic City, NJ, November 25-30, 1951.

12. "Note on 'The Strong Independence Assumption-Gasoline Blends and Probability Mixtures,' by Alan S. Manne," Econometrica, Vol. 20, No.4, October 1952, pp. 668-669.

12a. An Introduction to Linear Programming, John Wiley & Sons, New York, 1953, with W.W. Cooper and A. Henderson.

13. "Transportation Scheduling by Linear Programming," Proceedings of the Conference on Operations Research in Marketing, Case Institute of Technology, February 1953, with W.W. Cooper.

14. "Scheduling Manufacturing Processes," Journal of the Operations Research Society of America, Vol. 1, No.2, February 1953, p. 18, with W.W. Cooper and D. Farr.

15. "On the Solution of the Reynolds Equation for Slider-Bearing Lubrication-II: The Viscosity a Function of the Pressure," Transactions of the ASME, Vol. 75, February 1953, p. 269, with E. Saibel. Presented at the Semi-Annual Meeting of the American Society of Mechanical Engineers, Cincinnati, OH, June 15-19, 1952.

16. "On the Solution of the Reynolds Equation for Slider-Bearing Lu­brication-II: Effect of Transverse Curvature," Transactions of the ASME, Vol. 75, May 1953, with E. Saibel and A. Ying. Presented at the Fall Meeting of the American Society of Mechanical Engineers, Chicago, IL, September 8-11, 1952.

17. "Linear Programming and Profit Preference Scheduling for a Manu­facturing Firm," Journal of the Operations Research Society of

APPENDIX 541

America, Vol. 1, No.3, May 1953, pp. 114-129, with W.W. Cooper and D. Farr. Republished in Industrial Operations Research, edited by E. Bowman and R. Fetter, Richard D.lrwin, Homewood, IL, 1957.

18. "Constrained Games and Linear Programming," Proceedings of the National Academy of Sciences U.SA., Vol. 39, No.7, July 1953, pp. 639-641.

19. "Scheduling of Manufactured Products," Econometrica, Vol. 21, No. 3, July 1953, pp. 480-481, with W.W. Cooper.

20. "On the Solution of the Reynolds Equation for Slider-Bearing Lubrica­tion-IV: Effect of Temperature on the Viscosity," Transactions of the ASME, Vol. 75, August 1953, pp. 1117-1123, with F. Osterle and E. Saibel. Presented at the Annual Meeting of the American Society of Mechanical Engineers, New York, November 30-December 5, 1952.

21. "On the Solution of the Reynolds Equation for Slider-Bearing Lubrication-V: The Sector-Thrust Bearing," Transactions of the ASME, Vol. 75, August 1953, with E. Saibel and A. Ying. Presented at the Annual Meeting of the American Society of Mechanical Engineers, New York, November 30-December 5, 1952.

22. "On the Solution of the Reynolds Equation for Slider-Bearing Lubrication-VI: The Parallel-Surface Slider Bearing Without Side Leakage," Transactions of the ASME, Vol, 75,1953, pp. 1133-1136, with F. Osterle and E. Saibel.

23. "Una Facile Esposizione Attorno ai Fini della Programmazione Lineare" (An Easy Description of the Scopes of Linear Programming), L'Industria, Rivista di Economia Politica, No.3, 1954, pp. 421-427, with W.W. Cooper.

24. "Silhouette Functions of Short-Run Cost Behavior," Quarterly Journal of Economics, Vol. 68, February 1954, pp. 131-150, with W.W. Cooper.

25. "On the Solution of the Reynolds Equation for Slider-Bearing Lubrication-VII: The Non Steady-State Operation of Tilting-Pad Slider Bearings," Transactions of the ASME, Vol. 76, February 1954, with E. Saibel and F. Osterle. Presented at the Semi-Annual Meeting of the American Society of Mechanical Engineers, Los Angeles, California, June 28-July 2, 1953.

26. "A Model for Programming and Sensitivity Analysis in an Integrated Oil Company," Econometrica, Vol. 22, No.2, April 1954, pp. 193-217, with W.W. Cooper and B. Mellon.

27. "On the Solution of the Reynolds Equation for Slider-Bearing Lubrication-VIII: The Optimum Slider Profile for Viscosity a

542 APPENDIX

Function of the Pressure," Transactions of the ASME, Vol. 77, No. 1, January 1955, pp. 33-36, with F. Osterle and E. Saibel. Presented at the Annual Meeting of the American Society of Mechanical Engineers, New York, November 29-December 3, 1953.

28. "Linear Programming," Scientific American, Vol. 191, No.2, August 1954, pp. 21-23, with W.W. Cooper.

29. "An Example of Constrained Games in Industrial Economics," Econometrica, Vol. 22, No.4, October 1954, pp. 526-527, with W.W. Cooper.

30. "The Stepping-Stone Method of Explaining Linear Programming Calculations in Transportation Problems," Management Science, Vol. 1, No.1, October 1954, pp. 49-69, with W.W. Cooper.

31. "Minimization of Non-Linear Separable Convex Functionals," Naval Research Logistics Quarterly, Vol. 1, No.4, December 1954, pp. 301-312, with C.E. Lemke.

32. "A Constrained Game Formulation of Advertising Strategies," Econometrica, Vol. 22, No.3, October 1954, pp. 511, with W.W. Cooper.

33. "Optimal Estimation of Executive Compensation by Linear Program­ming," Management Science, Vol. 1, No. 2,January 1955,pp.138-15l, with W.W. Cooper and R. Ferguson.

34. "Future of Mathematics in Management Science," Management Science, Vol. 1, No.2, January 1955, pp. 180-182.

35. "A Model for Optimizing Production by Reference to Cost Surrogates," Econometrica, Vol. 23, No.3, July 1955, pp. 307-323, with W.W. Cooper and B. Mellon.

36. "Linear Programming," Proceedings of the 8th Industrial Man­agement Institute, University of Illinois, October 1955, with W.W. Cooper.

36a. "Linear Programming," Mathematics in Management, edited by Norman Davids, Pennsylvania State University, 1955, with W.W. Cooper.

37. "On the Hydrodynamical Theory of Lubrication," Proceedings of the 8th International Congress on Theoretical and Applied Mechanics, Istanbul, 1953, November 1955, with E. Saibel.

38. "On the Solution of the Reynolds Equation for Slider-Bearing Lu­brication-IX: The Stepped Slider with Adiabatic Lubricant Flow," Transactions of the ASME, Vol. 77, No.8, November 1955, pp. 1185-1187, with F. Osterle and E. Saibel. Presented at the First Annual ASME-ASLE Lubrication Conference, Baltimore, MD, October 18-20, 1954.

APPENDIX 543

39. "Studies in Lubrication X: The Complete Journal Bearing with Circumferential Oil Inlet," Transactions of the ASME, Vol. 77, No.8, November 1955, pp. 1179-1183, with E. Saibel and MJ. Jacobson.

40. "Such Solutions Are Very Little Solved," (A Critical Note on a Paper by B. Klein), Journal of the Operations Research Society of America, Vol. 3, No.3, August 1955, pp. 345-346, with W.W. Cooper.

41. "Generalizations of the Warehousing Model," Operational Research Quarterly, Vol. 6, No.4, December 1955, pp. 131-172, with W.W. Cooper.

42. "Optimizing Production by Reference to Cost Surrogates," Proceedings of the 2nd Symposium on Linear Programming (Washington, DC, 1955), Vol. 1, January 1956, with W.W. Cooper and B. Mellon.

43. "Stochastic Programming of Heating Oil by the Horizon Method," Management Science, Vol. 2, No.2, January 1956, pp. 191-192, with W.W. Cooper and G.H. Symonds.

44. "The Rheodynamic Squeeze-Film," Lubrication Engineering, Vol. 12, No.1, January-February 1956, pp. 33-36, with F. Osterle and E. Saibel.

45. "Generalizations of the Warehousing Problem," Econometrica, Vol. 24, No.2, April 1956, p. 202, with W.W. Cooper.

46. "Studies in Lubrication-XI: Slider Bearing with Transverse Curvature; Exact Solution," Transactions of the ASME, Vol. 78, No.3, April 1956, pp. 465-467, with E. Saibel and A.S.C. Ying.

47. "A Model for Optimal Programming of Railway Freight Train Movements," Management Science, Vol. 3, No.1, October 1956, pp. 74-92, with M.H. Miller.

48. "Non-Linear Power of Adjacent Extreme Point Methods in Linear Programming," Econometrica, Vol. 25, No., 1, January 1957, pp. 132-153, with W.W. Cooper.

49. "Linear Programming in Industry," Proceedings of the University of Michigan Seminar on Operations Research, 1956-1957, with W.W. Cooper.

50. "Methods and Tools of Operations Research," Chemical Engineering Progress, April 1957, with W.W. Cooper.

51. "Programming and Financial Budgeting I: Rationing and Cost of Money Under Uncertainty," Proceedings of the Third Institute of Technology Conference on Techniques of Operations Research, June 1957, with W.W. Cooper and M.H. Miller.

52. "Simultaneous Relations Between Dual Problems and a New Simultaneous Algorithm," Proceedings of the Third Institute of

544 APPENDIX

Technology Conference on Techniques of Operations Research, June 1957, with T.E. Bartlett.

53. "Mathematical Programming and Evaluation of Freight Shipment Systems," Naval Research Logistics Quarterly, Vol. 4, No.3, pp. 243-252, September 1957, with M.H. Miller.

54. "Cyclic Scheduling and Combinatorial Topology: Generalization and Analysis," Naval Research Logistics Quarterly, Vol. 4, No.3, September 1957, pp. 207-220, with T.E. Bartlett.

55. "Management Models and Industrial Applications of Linear Programming," Management Science, Vol. 4, No.1, October 1957, pp. 38-91, with W.W. Cooper.

56. "Extremal Principles for Simulating Traffic Flow in a Network," Proceedings of the National Academy of Sciences U.S.A., Vol. 44, No.2, February 1958, pp. 201-204, with W.W. Cooper.

57. "Cost Horizons and Certainty Equivalents: An Approach to Stoch­astic Programming of Heating Oil," Management Science, Vol. 4, No.3, April 1958, pp. 235-263, with W.W. Cooper and G.H. Symonds.

58. "The Use of Model Types in Business Planning," Proceedings Seminars on Operations Research, University of Michigan (1957-1958), Vol. 2, July 1958, with W.W. Cooper.

59. "Non-Linear Network Flows and Convex Programming over Incidence Matrices," Naval Research Logistics Quarterly, Vol. 5, No.3, Sep­tember 1958, pp. 231-240, with W.W. Cooper.

60. "The Strong Minkowski-Farkas-Weyl Theorem for Vector Spaces over Ordered Fields," Proceedings of the National Academy of Sciences U.S.A., Vol. 44, No.9, September 1958, pp. 914-916, with W.W. Cooper.

61. "On the Translocation of Masses," by L. Kantorovich. Introduction by A. Charnes in Management Science, Vol. 5, No.1, October 1958, pp. 1-4.

62. "The Theory of Search; Optimum Distribution of Search Effort," Management Science, Vol. 5, No.1, October 1958, pp. 44-50, with W.W. Cooper.

63. "Application of Linear Programming to Financial Budgeting and the Costing of Funds," Journal of Business of the University of Chicago, Vol. 32, No.1, January 1959, pp. 20-46, with W.W. Cooper and M.H. Miller. (Winner of second place, McKinsey Foundation Award, 1959.) Republished in The Management of Corporate Capital, edited by Ezra Solomon, The Free Press, Glencoe 1961; Financial Man­agement: Cases and Readings, edited by Victor L. Andrews and

APPENDIX 545

Pearson Hunt, Richard D. Irwin, Homewood, IL,1967; and The Theory of Business Finance: A Book of Readings, edited by Stephen A. Archer and Charles A. D'Ambrosio, MacMillan, New York, 1967, pp. 504-540.

64. "A Case Study in Operational Research Models Applied to Produc­tion Management Problems," Proceedings of the 11 th Annual 1 ndus­trial Engineering Institute, University of California, February 6-7, 1959, pp. 21-32, with W.W. Cooper.

65. "Some Uses of Model Prototypes in an Operations Research Study," California Management Review, Vol. I, No.3, Spring 1959, pp. 79-96, with W.W. Cooper.

66. "Engineering and Mathematics in Systems Work," in Ideas for Management Papers and Case Histories, Proceedings of the 11th Annual International Systems Meeting, Los Angeles, 1959.

67. "Virtual Work, Linear Programming, and Plastic Limit Analysis," Proceedings of the Royal Society of London, Series A, Vol. 251, No. 1264, 1959, pp. 110-116, with C.E. Lemke and O.c. Zienkiewicz.

68. "Chance-Constrained Programming," Management Science, Vol. 6, No.1, October 1959, pp. 73-79, with W.W. Cooper.

69. "Solar Heating of a Rotating Cylindrical Space Vehicle," ARS Journal, Vol. 30, No.5, May 1960, pp. 479-484, with S. Raynor.

70. "Flow Parameters in Hydrostatic Lubrication for Several Bearing Shapes," Transactions of the ASME, Journal of Basic Engineering, Series 0, Vol. 82, No.2, June 1960, pp. 257-264, with S. Raynor.

71. "On the Theory and Computation of Delegation Models: K. Effi­ciency, Functional Efficiency and Goals," Management Science: Models and Techniques, Vol. I, Proceedings of TIMS 6th Annual International Conference, Pergamon Press, London, 1960, pp. 56-91, with W.W. Cooper.

72. Russian translation of An Introduction to Linear Programming by A. Charnes, W.W. Cooper, and A. Henderson, announced in Vestnik, Akad, Nauk SSSR, Vol. 30, No.5, May 1960, p. 142.

73. Japanese translation of An Introduction to Linear Programming by A. Charnes, W.W. Cooper, and A. Henderson, published by Patorio, Tokyo, 1960.

74. "Some Problems and Models for Time-Phased Transport Require­ments," Naval Research Logistics Quarterly, Vol. 7, No.4, De­cember 1960, pp. 533-544, with W.W. Cooper.

75. "Management Models and Industrial Applications of Linear Program­ming," in Administrative Control and Executive Action, by C.E. Lemke and J.D. Edwards, 1961, pp. 675-700, with W.W. Cooper.

546 APPENDIX

75a. Management Models and Industrial Applications of Linear Pro­gramming, Volumes I and II, John Wiley & Sons, New York, 1961, 859 pages, with W.W. Cooper.

76. "Dyadic Programs and Subdual Methods," Naval Research Logistics Quarterly, Vol. 8, No.1, March 1961, pp. 1-23, with W.W. Cooper and M.H. Miller.

77. "Inter-temporal Analysis and Optimization of Bank Portfolios," Management Science, Vol. 7, No.4, July 1961, pp. 393-410, with D. Chambers.

78. "Multicopy Traffic Network Models," Theory of Traffic Flow, edited by R. Herman, Elsevier Publishing Company, Amsterdam, 1961, pp. 85-96, with W.W. Cooper.

79. "Some Models and Methods for Temporal Analysis of Power Dispatching Systems," in L.L. Garver's Ph.D. thesis, Northwestern University, June 1961.

80. "Regularization, Complete Regularization and Proofs by Linear Programming," Management Models and Industrial Applications of Linear Programming, Vol. 1, June 1961, with W.W. Cooper.

81. "Mixing Routines for a Class of Coupled Models," Northwestern University System Research Group Report No. 18, May 1959, and also Management Models and Industrial Applications of Linear Programming, Vol. 2, November 1961, with W.W. Cooper.

82. "The Double Reverse Method," Northwestern University Systems Research Group Report No. 10, 1958, and also Management Models and Industrial Applications of Linear Programming, Vol. 2, November 1961, with W.W. Cooper.

83. "Budgeting and Planning Media Schedules," Proceedings of the American Association of Advertising Agencies Annual Conference, November 1961, with W.W. Cooper.

84. "Chance Constraints and Normal Deviates," Journal of the American Statistical Association, Vol. 57, No. 297, March 1962, pp. 134-148, with W.W. Cooper.

85. "On Some Works of Kantorovich, Koopmans and Others," Management Science, Vol. 8, No.3, April 1962, pp. 246-263, with W.W. Cooper.

86. "Management Science and Managing," Illinois University Quarterly Review of Economics and Business, Vol. 2, No.2, May 1962, pp. 7-19, with W.W. Cooper.

87. "Duality, Haar Programs, and Finite Sequence Spaces," Proceedings of the National Academy of Sciences U.SA., Vol. 48, No.5, May 1962, pp. 783-786, with W.W. Cooper and K.O. Kortanek.

APPENDIX 547

88. "Systems Analysis for Planning Wastewater Treatment Plants," Journal of Water Pollution Control Federation, Vol. 34, June 1962, pp. 565-581, with Walter R. Lynn and John A. Logan.

88a. "Management Mathematics and Engineering Designs," Proceedings of the Second Conference on Engineering Design Education, Los Angeles: University of California, Department of Engineering and Engineering Extension, Sept. 5-7, 1962, with W.W. Cooper and E. Schatz.

89. "A Network Interpretation and a Directed Subdual Algorithm for Critical Path Scheduling," The Journal of Industrial Engineering, Vol. 13, No.4, July-August 1962, pp. 213-219, with W.W. Cooper.

90. "Some Properties of Redundant Constraints and Extraneous Variables in Direct and Dual Linear Programming Problems," Operations Research, Vol. 10, No.5, September-October 1962, pp. 711-723, with W.W. Cooper and G.L. Thompson.

91. "Systems Evaluation and Repricing Theorems," Management Science, Vol. 9, No.1, October 1962, pp. 33-49, with W.W. Cooper.

92. "Profiles of the Profession, 1975," Testimony before the Long Range Objectives Committee, AICPA, 1962, with W.W. Cooper.

93. "A Duality Theory for Convex Programs with Convex Con­straints," Bulletin of the American Mathematical Society, Vol. 68, No.6, November, 1962, pp. 605-608, with W.W. Cooper and K.O. Kortanek.

94. "Programming with Linear Fractional Functionals," Naval Research Logistics Quarterly, Vol. 9, Nos. 3 and 4, September-December 1962, pp. 181-186, with W.W. Cooper.

95. "On Some Problems of Diophantine Programming," Cahiers du Centre de Recherche Operationelle, Vol. 4, No.4, 1962, pp. 215-280, with A. Ben-Israel.

96. "Systems Analysis of Refuse Collection and Disposal Practices," American Published Works Association 1962 Yearbook, pp. 195-211, with J. Quon and S. Wersan.

97. "Duality in Semi-Infinite Programs and Some Works of Haar and Caratheodory," Management Science, Vol. 9, No.2, January-February 1963, pp. 209-228, with W.W. Cooper and K.O. Kortanek.

98. "Deterministic Equivalents for Optimizing and Satisfying under Chance Constraints," Operations Research, Vol. 11, No.1, January-Febru­ary 1963, pp. 18-39, with W.W. Cooper. Republished in Economic Models: Estimation and Risk Programming: Essays in Honor of Gerhard Tintner, edited by K. Fox, J.K. Sengupta, and G.V.L. Narasimhan, Springer-Verlag, New York, 1969.

548 APPENDIX

99. "A Survey of Developments in Chance-Constrained Programming," Journal of the American Statistical Association, Vol. 58, No. 302, June 1963, pp. 548, with W.W. Cooper and G.L. Thompson.

100. "Breakeven Budgeting and Programming to Goals," Journal of Accounting Research, Vol. 1, No.1, Spring 1963, pp. 16-43, with W.W. Cooper and Y. Ijiri. Republished in Management Planning and Control: Mathematical Models, edited by John Leslie Livingstone, McGraw-Hill, New York, 1969.

101. "Characterizations by Chance-Constrained Programming," Invited Chapter in Recent Advances in Mathematical Programming, by R.L. Graves and P. Wolfe, McGraw-Hill, New York, 1963, pp. 113-121, with W.W. Cooper and G.L. Thompson.

102. "Addendum: Programming with Linear Fractional Functionals," Naval Research Logistics Quarterly, Vol. 10, No.3, September 1963, pp. 273-274, with W.W. Cooper.

103. "Contributions to the Theory of Generalized Inverses," Journal of the Society for Industrial and Applied Mathematics, Vol. 11, No.3, September 1963, pp. 667-699, with A. Ben-Israel.

104. "Constrained Extremization Models and Their Use in Developing System Evaluation Measures," in Views on General Systems Theory, edited by M.D. Mesarovic, John Wiley and Sons, New York, 1964, pp. 61-88. Also, Proceedings of the 2nd Systems Symposium at Case Institute of Technology, April 4-5, 1963, Cleveland, with W.W. Cooper. Translated into Russian with Slovak title (Obushaja teorija sistem) by Ustredne Ekomicka Kniunica, 1967.

105. "Generalized Inverses and the Bott-Duffin Network Analysis," Journal of Mathematical Analysis and Applications, Vol. 7, No.3, December 1963, pp. 428-435, with A. Ben-Israel.

106. "The Geometry of Convergence of Simple Perceptrons," Journal of Mathematical Analysis and Applications, Vol. 7, No.3, December 1963, pp. 475-481.

107. "On a Mixed Sequential Estimating Procedure with Applications to Audit Tests in Accounting," Accounting Review, Vol. 39, No.2, April 1964, pp. 241-250, with H. Justin Davidson and K.O. Kortanek.

108. "Investigations in the Theory of Multiple-budgeted Goals," chapter in Management Controls: New Directions in Basic Research, edited by Charles P. Bonini, R.K. Jaedicke and H.M. Wagner, McGraw­Hill, New York, 1964, pp. 186-204, with A. Stedry.

109. "A Multiple-Objective Chance Constrained Approach to Cost Effectiveness," Proceedings of the 1964 National Aerospace Elec-

APPENDIX 549

tronics Conference, OH, pp. 454-455, with W.W. Cooper, G. Kozmetsky, and Steinman.

110. "The Dual Method and the Method of Balas and Ivanescu for the Transportation Model," Cahiers du Centre d' Etudes de Recherche Operationelle, Vol. 6, No.1, 1964, pp. 5-18, with Michael Kirby.

111. "Critical Path Analyses via Chance-Constrained and Stochastic Programming," Operations Research, Vol. 12, No.3, May-June 1964, pp. 460-470, with W.W. Cooper and G.L. Thompson.

112. "Exploratory Models in the Theory of Budgetary Control," chapter 13 in New Perspectives in Organization Research, edited by W.W. Cooper, H. Leavitt, and Maynard Shelly, 1. Wiley & Sons, New York, 1964, pp. 212-249, with A. Stedry.

113. "Optimizing Engineering Designs under Inequality Constraints," Cahiers du Centre d'Etudes de Recherche Operationelle, Vol. 6, No. 4, 1964, pp. 181-187, with W.W. Cooper.

114. "Some Fundamental Theorems of Perceptron Theory and their Geometry," chapter 2 in Computer Information Sciences, edited by Julius T. Tou and R.H. Wilcox, Spartan Press, 1964, pp. 67-74.

115. "Elements of a Strategy for Making Models in Linear Programming," chapter 26 in System Engineering Handbook, edited by Robert E. Machol, Wilson P. Tanner, Jr., and Samuel N. Alexander, McGraw Hill, New York, 1965, pp. 26-1-26-30, with W.W. Cooper.

116. "Absolute Deviations and Constrained Regressions: A Preface to D. Hildebrand's Translation of M. Ch. J. de la Vallee Poussin On the Method of Minimum Approximation," Annales de la Societe Scientifique de Bruxelles, Vol. 35, Part II, 1911, contained in ONR Research Memo No. 136, Northwestern University, Evanston, IL, and Carnegie Institute of Technology, Pittsburgh, PA, July 1964, with W.W. Cooper and D. Hildebrand.

117. "Management Models and Industrial Applications of Linear Pro­gramming," chapter 7, section III, Mathematical Studies in Man­agement Science, edited by Arthur F. Veinott, Jr., MacMillan, New York, 1965, pp. 91-104, with W.W. Cooper.

118. "Chance-Constrained Programming," chapter 30, section VII of Mathematical Studies in Management Science, edited by A.F. Veinott, Jr., MacMillan, New York, 1965, pp. 349-356, with W.W. Cooper and G.H. Symonds.

119. "Cost Horizons and Certainty Equivalents: An Approach to Stochastic Programming of Heating Oil," chapter 33, section IX of Mathematical Studies in Management Science, edited by A.F. Veinott, Jr., MacMillan, New York, 1965, pp. 406-422, with W.W. Cooper and G.H. Symonds.

550 APPENDIX

120. "A Note on the 'Fail-Safe' Properties of the 'Generalized Lagrange Multiplier Method' ," Operations Research, Vol. 13, No.4, July-August 1965, pp. 674-677, with W.W. Cooper.

121. "Data, Modelling, and Decisions," in New Directions in Marketing, Proceedings of the 48th National Conference of the American Mar­keting Association, 1965, pp. 509-517, with W.W. Cooper.

122. "Constrained Generalized Medians and Hypermedians as Determin­istic Equivalents for Two-Stage Linear Programs under Uncertainty," Management Science, Vol. 12, No.1, September 1965, pp. 83-112, with W.W. Cooper and G.L. Thompson.

123. "On Representations of Semi-Infinite Programs which have no Duality Gaps," Management Science, Vol. 12, No.1, September 1965, pp. 113-121, with K.O. Kortanek.

124. "Chance-Constrained Programming and Related Approaches to Cost Effectiveness," Proceedings, Department of Defense Logistics Re­search Conference, Warrenton, VA, Vol. 11-7, 1965, pp. 85-138, with W.W. Cooper and G.L. Thompson.

125. "Simulation and Analyses of a Refuse Collections System," Journal of the Sanitary Engineering Division Proceedings of the American Society of Civil Engineers, October 1965, pp. 17-36, with J.E. Quon and S.J. Wersan.

126. "DEMON: A Management Model for Marketing New Products," Management Sciences Research Report No. 52, Carnegie Institute of Technology, and Systems Research Report Memorandum 138, Northwestern University, 1965, with W.W. Cooper, J.K. DeVoe, and D.B. Learner.

127. "Modular Design, Generalized Inverses, and Convex Programming," Operations Research, Vol. 13, No.5, September-October 1965, pp. 838-847, with MJ.L. Kirby.

128. "Zero-Zero Chance-Constrained Games," Proceedings of the Fourth International Conference on Operations Research, John Wiley and Sons, New York, 1966, pp. 150-170, with MJ.L. Kirby and W.M. Raike.

129. "A Survey of Linear, Nonlinear and Probabilistic Programs and Related Optimization Methods," session 9 in Proceedings, Systems Engin­eering Seminars, December-April 1965, edited by H.S. Hill and R.T. Morrison, North American Aviation, Inc., Space and Information Systems Division, Downey, California, 1965, with W.W. Cooper.

130. "A Note on the Discrete Maximum Principle and Distribution Problems," Journal of Mathematics and Physics, Vol. XLV, No.1, March 1966, pp. 121-126, with K.O. Kortanek.

APPENDIX 551

131. "Search-Theoretic Models of Organization Control by Budgeted Multiple Goals," Management Science, Vol. 12, No.5, January 1966, pp. 457 -482, with A. Stedry.

132. "A Chance-Constrained Model for Real-Time Control in Research and Development Management," Management Science, Vol. 12, No. 8, April 1966, pp. B-353-B-362, with A. Stedry.

133. "Optimal Decision Rules for the E-Model of Chance-Constrained Programming," Cahiers du Centre d'Etudes de Recherche Opera­tionnelle, Vol. 8, No.1, January 1966, pp. 5-44, with MJ.L. Kirby.

134. "DEMON: Decision Mapping Via Optimum Go, No-Go Networks­A Model for Marketing New Products," Management Science, Vol. 12, No. 11, July 1966, pp. 865-887, with W.W. Cooper, lK. DeVoe, and D.B. Learner. Presented at the Tenth International Meeting of TIMS, Tokyo, Japan, Aug. 24, 1963.

135. "On Balanced Sets, Cores and Linear Programming," Cahiers du Centre d' Etudes de Recherche Operationnelle, June 1967, with K.O. Kortanek.

136. "Optimal Decision Rules for the E-Model of Chance-Constrained Programming," Cahiers du Centre d' Etudes de Recherche Opera­tionnelle, Vol. 8, No.1, 1966, pp. 5-44, with M.J.L. Kirby.

137. "Management Sciences and Management-Some Requirements for Further Development," Management Science, Vol. 13, No.2, October 1966, pp. C3-C9, with W.W. Cooper.

138. "Chance-Constrained Generalized Networks," Operations Research, Vol. 14, No.6, November-December 1966, pp. 1113-1120, with M.J.L. Kirby and W. Raike.

139. "Planning for Liquidity in Financial Institutions: The Chance­Constrained Method," Journal of Finance, Vol. 21, No.4, December 1966, pp. 649-674, with Sten Thore.

140. "One-Pass Algorithms for Some Generalized Network Problems," Operations Research, Vol. 14, No.5, October 1966, pp. 914-924, with W.M. Raike.

141. "Decision and Horizon Rules for Stochastic Planning Problems: A Linear Example," Journal of the Econometric Society, Vol. 34, No. 2, April 1966, pp. 307-330, with J. Dreze and M. Miller.

142. "A Convex Approximant Method for Nonconvex Extensions of Geometric Programming," Proceedings of the National Academy of Sciences U.SA., Vol. 56, No.5, November 1966, pp. 1361-1364, with W.W. Cooper.

143. "Simulation, Optimization and Evaluation of Systems of Traffic Networks," Management Science Research Report No. 77, Carnegie

552 APPENDIX

Institute of Technology, Pittsburgh, PA, and Systems Research Memorandum No. 154, Northwestern University, Evanston, IL, May 1966, with W.W. Cooper.

144. "Some Network Characterizations for Mathematical Programming and Accounting Approaches to Planning and Control," Management Sciences Research Group Report No. 81, Carnegie Institute of Tech­nology, Pittsburgh, PA, and Evanston, Systems Research Group Memorandum No. 148, Northwestern University, Evanston, II, 1966. The Accounting Review, Vol. XLII, No.1, January 1967, pp. 24-52, with W.W. Cooper. Republished in Management Planning and Control: Mathematical Models, edited by John Leslie Livingstone, McGraw-Hill, New York, 1969.

145. "On Balanced Sets, Cores, and Linear Programming," Cahiers du Centre d' Etudes de Recherche Operationnelle, Vol. 9, No.1, pp. 32-43, 1967, with K.O. Kortanek.

146. "Chance Constrained Games with Partially Controllable Strategies," Operations Research, Vol. 16, No.1, January-February 1968, pp. 142-149, with M. Kirby and W. Raike.

147. "On Some Stochastic Tactical Antisubmarine Games," Naval Re­search Logistics Quarterly, Vol. 14, No.3, September 1967, pp. 291-311, with R.G. Schroeder.

148. "Application of Linear Programming to Financial Budgeting and the Costing of Funds," The Theory of Business Finance, edited by Stephen H. Archer and Charles A. D'Ambrosio, MacMillan, New York, 1967, with W.W. Cooper and M.H. Miller.

149. "The Application of Linear Programming to Financial Budgeting and the Costing of Funds," Financial Decision-Making, Edward J. Mock, International Textbook Co., 1967, with W.W. Cooper and M.H. Miller.

150. "Effective Control Through Coherent Decentralization with Preemptive Goals," Econometrica, Vol. 35, No.2, April 1967, pp. 294-319, with R.W. Clower and K.O. Kortanek.

151. "Optimal Real-Time Control of Research Funding," chapter 13 of Research Program Effectiveness, (proceedings of conference spon­sored by the Office of Naval Research, July 27-29, 1965), Gordon & Breach, 1966, pp. 267-285, with A.c. Stedry.

152. "Impact of Institutional Arrangements on the Available Alternative Developmental Paths for Water Allocation and Pollution Control in the Colorado River Basin," Proceedings of the Third American Water Resources Conference, November 8-10, 1967, San Francisco, California, pp. 84-91, with R.S. Gemmell, H.B. Gotaas, and J.P. Heaney.

APPENDIX 553

153. "Long-Range River Basin Planning: Alternative Developmental Paths for Water Allocation and Pollution Control," Proceedings of the International Conference on Water for Peace, Washington, DC, May 23-31, 1967, with RS. Gemmell, H.B. Gotaas, and J.P. Heaney.

154. "Synthesis and Analysis of Some Transport Price Policies with a Chance-Constrained Demand Capture Model," Proceedings of the 2nd International Symposium on the Use of Cybernetics on the Railways, The International Union of Railways and The Canadian National Railway, Montreal, October 1967, pp. 134-142, with M.W. Raike and MJ.L. Kirby.

155. "Some New Approaches to Risk," The Accounting Review, Vol. XLIII, No.1, January 1968, pp. 18-37, with W.W. Cooper, R. Byrne, and K.O. Kortanek.

156. "A Chance-Constrained Approach to Capital Budgeting with Portfolio Type Payback and Liquidity Constraints and Horizon Posture Controls," Journal of Financial and Quantitative Analysis, Vol. 11, No.4, December 1967, pp. 339-364, with W.W. Cooper, R Byrne, and K.O. Kortanek.

157. "Some Special P-Models in Chance-Constrained Programming," Management Science, Vol. 14, No.3, November 1967, pp. 183-195, with M.J.L. Kirby.

158. "Solution Theorems in Probabilistic Programming: A Linear Pro­gramming Approach," Journal of Mathematical Analysis and Appli­cations, Vol. 20, No.3, December 1967, pp. 565-582, with M.J.L. Kirby and W. Raike.

159. "DEMON: A Management Model for Marketing New Products," California Management Review, Fall 1968, pp. 31-46, with W.W. Cooper, J.K. DeVoe, and D.B. Learner.

160. "A Goal Programming Model for Manpower Planning," Management Sciences Research Report No. 115, Carnegie-Mellon University, 1967, with W.W. Cooper and R.J. Niehaus. Published in Management Science in Planning and Control. Paper Presented at the Second Operations Research Symposium held at Carnegie-Mellon University, Pittsburgh, PA, March 1968, edited by John Blood, Special Technical Association Publication STAP No.5, Technical Association of the Pulp and Paper Industry, 360 Lexington Ave., New York. Repub­lished in Behavioral Approaches to Modern Management, edited by W. Goldberg, Goteborg, Sweden, Studies in Business Administration, 1970. Republished in Topics in Accounting and Planning, edited by R. Mattesich, Monograph 5, University of British Columbia Faculty of Commerce and Business Administration, 1971. Republished in

554 APPENDIX

Manpower Planning: Selected Readings, edited by DJ. Bartholomew, 1974.

160a. "Comments on the Use of Accounting in Internal Decision Making," Management Sciences Research Report No. 75, Carnegie-Mellon University, Pittsburgh, PA and Systems Research Memorandum No. 151, Northwestern University, Evanston, IL, with W.W. Cooper. Published in The Use of Accounting in Decision Making, edited by TJ. Bums, College of Commerce and Administration, Ohio State University, 1967.

161. "Application of Linear Programming to Financial Budgeting and the Costing of Funds," Financial Management: Cases and Readings, edited by Pearson Hunt and Victor L. Andrews, Richard D. Irwin, Homewood, IL, 1968, pp. 146-183, with W.W. Cooper and M.H. Miller.

162. "Zero-Zero Chance-Constrained Games," Journal of the Theory of Probability and Its Applications, Vol. 13, No.4, 1968, pp. 663-681, presented at the 1968 International Congress of Mathematics, Moscow, with MJ.L. Kirby and W.M. Raike.

163. "Nuclear Volume Distribution of Phytohemaglutinin-Stimulated Human Lymphocytes," Proceedings of the Society of Experimental Biological Medicine, Vol. 135, 1970, pp. 334-339, with L. Cruz­Azad, E. Houston, W. Levin, F. Muniz, D. Klingman and J. Stutz.

164. "Chance-Constrained Games with Partially Controllable Strategies," Operations Research, Vol. 16, No.1, January-February 1968, pp. 142-149, with M.J.L. Kirby and W. Raike.

165. "Refuse Quantities and Frequency of Service," Journal of the Sanitary Engineering Division, ASCE, April 1968, pp. 403-420, with J.E. Quon and M. Tanaka.

166. "On the Intersections of Cones and Subspaces," Bulletin of the American Mathematical Society, Vol. 74, No.3, May 1968, pp. 541-544, with A. Ben-Israel.

167. "LPn: A Goal Programming Model for Media Planning," Management Science, Application Series, Vol. 14, No.8, April 1968, pp. B423-B430, with W.W. Cooper, J.K. DeVoe, D.B. Leamer, and W. Reinecke. Republished in Applications of Science in Marketing, edited by G.L. Urban, Prentice-Hall, Englewood Cliffs, NJ 1970.

168. "Note on Application of LPn, A Goal Programming Model for Media Planning," Management Science, Application Series, Vol. 14, No.8, April 1968, pp. B431-436, with W.W. Cooper, D.B. Learner, and E.F. Snow. Republished in Applications of Science in Marketing, edited by G.R. Urban, Prentice-Hall, Englewood Cliffs, NJ 1970.

APPENDIX 555

168a. "Generation and Approximation of Reach and Distribution of Fre­quencies," Management Sciences Research Report No. 97, Camegie­Mellon University, Pittsburgh, PA, and Systems Research Group Memorandum No. 171, Northwestern University, Evanston, IL, with W.W. Cooper, J.K. DeVoe, D.B. Leamer and W. Reinecke. Man­agement Science, Application Series, Vol. 14, No.8, April 1968, pp. B436-B439.

169. "DEMON: Mark II: An Extremal Equation Approach to New Product Marketing," Management Science, Theory Series, Vol. 14, No.9, May 1968, pp. 513-524, with W.W. Cooper, J.K. DeVoe, and D.B. Leamer.

170. "Chance-Constrained Models for Transport Pricing and Scheduling Under Competition," Transportation Science, Vol. 2, No.1, February 1968, pp. 57-76, with S.c. Littlechild, MJ.L. Kirby, and W.M. Raike.

171. "On Some Nonstandard Semi-Infinite Programming Problems," Management Sciences Research Report No. 139, Office of Civilian Manpower Management, Department of the Navy, Washington, DC, 1968, with W.W. Cooper and K.O. Kortanek.

172. "DEMON: Mark IT: Extremal Equations Solution and Approximation," Management Science, Vol. 14, No. 11, July 1968, pp. 682-691, with W.W. Cooper, J.K. DeVoe, and D.B. Leamer.

173. "On Generalized Inverses and Interval Linear Programming," Symposium Proceedings: Theory and Application of Generalized Inverses of Matrices, Mathematics Series No.4, 1968, pp. 53-70, with A. Ben-Israel and P.D. Robers.

174. "An Explicit Solution of a Special Class of Linear Programming Problems," Operations Research, Vol. 16, No.6, November­December 1968, pp. 1166-1175, with A. Ben-Israel.

175. "Optimal Decision Rules in Conditional Probabilistic Programming," Rendiconti di Accademia Nazionale Dei Lincei XLV, Estratto dal fasc. 5, Serie VIll, Vol. XLV, November 1968, pp. 231-235, with W.W. Cooper and M.J.L. Kirby.

176. "Structural Sensitivity Analysis in Linear Programming and an Exact Product Form Left Inverse," Naval Research Logistics Quarterly, Vol. 15, No.4, December 1968, pp. 517-522, with W.W. Cooper and MJ.L. Kirby.

177. "On the Status of Separability and Non-Separability in Decentralization Theory," in "Letters" of Management Science, Vol. 15, No.2, October 1968, pp. B12-B14, with K.O. Kortanek.

178. "A Model and a Program for Manpower Management and Planning," Management Sciences Research Report No. 132, Office of Civilian

556 APPENDIX

Manpower Management, Department of the Navy, Washington, DC, 1968, with W.W. Cooper, R.J. Niehaus, and D. Sholtz. System Research Group Memorandum No. 206. Published in Computer Impact on Engineering Management, Proceedings of the Joint Engineering Management Conference, Philadelphia, Sept. 30-0ct. 1, 1968, 530 William Penn Place, Pittsburgh PA, 15219, Instrument Society of America, 1968. Republished in Behavior Approaches to Modern Management, edited by W. Goldberg, Goteborg, Sweden, Studies in Business Administration, 1970.

179. "Manpower Planning for Decision-Making," Civilian Manpower Management, U.S. Navy, Vol. II, 1968, with W.W. Cooper and R.J. Niehaus.

180. "Semi-Infinite Programming, Differentiability and Geometric Programming: Part II," Aplikace Matematiky, Vol. 14, Akademie Ved, Prague, 1969, pp. 15-22, with W.W. Cooper and K.O. Kortanek.

181. "On the Theory of Semi-Infinite Programming and a Generalization of the Kuhn-Tucker Saddle Point Theorem for Arbitrary Convex Functions," Naval Research Logistics Quarterly, Vol. 16, No.1, March 1969, pp. 41-51, with W.W. Cooper and K.O. Kortanek.

182. "Multi-Dimensional and Dynamic Extensions of the Assignment Model, with Observations on the Problem of Organization Design," Management Sciences Research Report No. 124, Carnegie-Mellon University, 1968, with W.W. Cooper, R.J. Niehaus, and A. Stedry. Revised and reissued as "Static and Dynamic Assignment Models with Multiple Objectives and Some Remarks on Organization Design," Management Science: Application, Vol. 15, No.8, April 1969, pp. B365-B375. Republished in Behavioral Approaches to Modern Management, edited by W. Goldberg, Goteborg, Sweden, Studies in Business Administration, 1970.

183. "Linear Programming," Mathematical Thinking in Behavioral Sci­ences, readings from Scientific American, part ill, 1969, pp. 104-106, with W.W. Cooper.

184. "Linear Programming," Mathematics in the Modern World, readings from Scientific American, part V, 1969, pp. 318-320, with W.W. Cooper.

185. "Duality and Asymptotic Solvability Over Cones," Bulletin of the American Mathematical Society, Vol. 75, No.2, March 1969, pp. 318-324, with A. Ben-Israel and K.O. Kortanek.

186. "Solution Theorems for Competitive Transportation Models," Proceedings of the International Federation of Operations Research

APPENDIX 557

Societies, Venice, Italy, June 1969, pp. 6.2.1-6.2.15, with W.W. Cooper, R.G. Cassidy, and M.J.L. Kirby.

186a. "Solution Theorems for Competitive Transportation Models," Transport and Traffic, pp. 323-337.

187. "Measurement of Personnel Movement," Civilian Manpower Man­agement, Washington, DC, U.S. Navy, Vol. nI, No.1, Spring, 1969, pp. 17-19, with W.W. Cooper, R.J. Niehaus, and D. Sholtz.

188. "Application of Computer Assisted Techniques to Manpower Planning," Civilian Manpower Management, Washington, DC, U.S. Navy, Vol. III, No.3, Fall 1969, pp. 25-28, with W.W. Cooper, R.J. Niehaus, and W.N. Price.

189. "Media Mixing for Distributions of Frequencies with ~-like and Lognormal Distributions of Frequencies," Management Sciences Research Report No. 189, Carnegie-Mellon University, Graduate School of Industrial Administration, Pittsburgh, PA, 1968, with W.W. Cooper, D.B. Learner, and E.F. Snow.

190. "A Discrete Probability Chance-Constrained Capital Budgeting Model-I," OPSEARCH, The Journal of the Operational Research Society of India, Vol. 6, No.3, September 1969, pp. 171-198, with R.F. Byrne, W.W. Cooper, and K.O. Kortanek.

191. "Deterministic Equivalents for Optimizing and Satisficing under Chance-Constraints," Economic Models, Estimation and Risk Programming; Essays in Honor of Gerhard Tintner, edited by M. Beckmann and H.P. KOnzi, Springer-Verlag, New York, 1969, pp. 425-456, with W.W. Cooper.

192. "A Discrete Probability Chance-Coristrained Capital Budgeting Model II," OPSEARCH, The Journal of the Operational Research Society of India, Vol. 6, No.4, December 1969, pp. 225-261, with Robert F. Byrne, W.W. Cooper, and K.O. Kortanek.

193. "DEMON: A Management Model for Marketing New Products," California Management Review, Vol. XI, Autumn 1968, pp. 31-46, with W.W. Cooper, J.K. DeVoe, and D.B. Learner. First prize 1968-1969 McKinsey award. Reprinted in Management Decision Making, edited by L.A. Welsch and R.M. Cyert, Penguin Books, Baltimore, MD, 1970, pp. 287-316.

194. "A Goal Programming Model for Media Planning," Applications of Management Science in Marketing, chapter 9, Prentice-Hall, Englewood Cliffs, NJ, 1970, pp. 190-200, with W.W. Cooper, J.K. DeVoe, n.B. Learner, and W. Reinecke.

195. "Note on an Application of a Goal Programming Model for Media Planning," Applications of Management Science in Marketing, chapter

558 APPENDIX

10, Prentice-Hall, Englewood Cliffs, NJ, 1970, pp. 201-208, with W.W. Cooper, D.B. Learner, and E.F. Snow.

196. "The Distribution Problem with Upper and Lower Bounds on the Node Requirements," Management Science, Vol. 16, No.9, May 1970, pp. 638-642, with D. Klingman.

197. "Breakeven Budgeting and Programming to Goals," Management Planning and Control: Mathematical Models, edited by John Leslie Livingstone, McGraw-Hill, New York, 1970, pp. 395-423, with W.W. Cooper and Y. Ijiri.

198. "Some Network Characterizations for Mathematical Programming and Accounting Approaches to Planning and Control," Management Planning and Control: Mathematical Models, edited by John Leslie Livingstone, McGraw-Hill, New York, 1970, pp. 555-595, with W.W. Cooper.

199. "On the Fourtes-Hodgkin Feedback Model," Mathematical Biosciences, Vol. 6, 1970, pp. 75-83, with R.A. Abrams and A. Ben-Israel.

200. "On Stochastic Linear Approximation Problems," Operations Research, Vol. 18, No.3, May-June 1970, pp. 555-558, with A. Ben-Israel and MJ.L. Kirby.

201. "Optimal Decision Rules for the Triangular E-Model of Chance­Constrained Programming," Cahiers du Centre d' Etudes de Recherche Operationelle, Vol. 11, No.4, 1969, pp. 215-243, with MJ.L. Kirby.

202. "Projecting Civilian Manpower Requirements," Civilian Manpower Management, U.S. Navy, Washington, DC, 1969, with W.W. Cooper, R.J. Niehaus, and W.N. Price.

203. "Solution Theorems for Competitive Transportation Models," Proceedings of the Fifth International Conference of Operational Research: OR 69, edited by John Lawrence, Tavistock Publications, London, 1970, pp. 323-339, with R.G. Cassidy, W.W. Cooper, and MJ.L. Kirby.

204. "Horizon Models for Social Development," Management Science, Vol. 17, No.4, December 1970, pp. B165-BI77, with M.J.L. Kirby and A. Walters.

205. "On the Explicit Solution of a Special Class of Linear Economic Models," Operations Research, Vol. 18, No.3, May-June 1970, pp. 462-470, with A. Ben-Israel, A.P. Hurter, and P.D. Robers.

206. "A Systems Approach to Manpower Management and Planning," Civilian Manpower Management, Vol. IV, No.4, Winter 1970, pp. 17-23, with W.W. Cooper, R.J. Niehaus, and D. Sholtz.

207. "An Acceptance Region Theory for Chance-Constrained Programming," Journal of Mathematical Analysis and Applications,

APPENDIX 559

Vol. 32, No.1, October 1970, pp. 33-61, with MJ.L. Kirby and W.M. Raike.

208. "A Note on a Distribution Problem," Operations Research, Vol. 18, No.6, November-December 1970, pp. 1213-1216, with Fred Glover and D. Klingman.

209. "Semi-Infinite Programming, Differentiability, and Geometric Pro­gramming, Part 1: With Examples of Applications in Economics and Management Science," RS. Varma Memorial Volume of the Jour­nal of Mathematical Sciences, Vol. 6, 1971, pp. 19-40, with W.W. Cooper and K.O. Kortanek.

210. "On Weakly Balanced Games and Duality Theory," Cahiers du Centre d' Etudes de Recherche Operationelle, Vol. 12, No.1, May 1970, pp. 7-21, with MJ. Eisner and K.O. Kortanek.

211. "On Classes of Convex and Preemptive Nuclei for N-Person Games," Proceedings of the 1967 Princeton Symposium on Mathematical Programming, Princeton University Press, Princeton, NJ, 1970, pp. 377-390, with K.O. Kortanek.

212. Studies in Budgeting, edited with R.F. Byrne, W.W. Cooper, O.A. Davis, and Dorothy Gilford, Vol. 11 in the series Studies in Math­ematics and Managerial Economics, North Holland, Amsterdam, 1971.

213. "A Model for Civilian Manpower Management and Planning in the U.S. Navy," Models of Manpower Systems, edited by A.R Smith, The English Universities Press, London, 1970, pp. 247-264, with W.W. Cooper, RJ. Niehaus, and D. Sholtz. Also published as "An Extended Goal Programming Model for Manpower Planning," Management Sciences Research Report No. 156, Carnegie-Mellon University, Pittsburgh, PA, December 1968.

213a. "An Extended Goal Programming Model for Manpower Planning­Appendix and Prototype," Management Sciences Research Report No. 188, Carnegie-Mellon University, Pittsburgh, PA, June 6, 1969, with W.W. Cooper, RJ. Niehaus, and D. Sholtz. Published as "A Model for Civilian Manpower Management and Planning in the U.S. Navy" in Models of Manpower Systems, edited by A.R. Smith, English Universities Press, London, 1970.

214. "A Mixed Goal Programming Model for PPBS in a Consumer Protection Regulatory Agency," Technical Report 70-1 Economics­Management Science Series, USC, The University Science Center, pp. 3113-3125, Forbes Ave., Pittsburgh, PA, 1970, with W.W. Cooper, M. Keane. E.F. Snow. and A.S. Walters.

215. "DEMON: A Management Model for Marketing New Products," Perspectives In Marketing Management-Readings, edited by Frederick

560 APPENDIX

D. Sturdivant et aI., Scott, Foresman, Glenview, IL, 1971, pp. 175-191, with W.W. Cooper, J.K. DeVoe, and D.B. Learner.

216. "The Lower Bounded and Partial Upper Bounded Distribution Model," Naval Research Logistics Quarterly, Vol. 18, No.2, June 1971, pp. 277-281, with Fred Glover and D. Klingman.

217. "Asymptotic Duality in Semi-Infinite Programming and the Convex Core Topology," Rendiconti di Matematica, Vol. 4, Series VI, 1971, pp. 751-767, with A. Ben-Israel and K.O. Kortanek.

218. "A Note on the Redesigning of a Rate Structure for Allocation of State Funds to Educational Institutions," chapter X in University Management Models, Project Generalized University Model, Phase III Report, Austin, University of Texas Graduate School of Business, 1970, with F.L. Cox and M. Lane. (Revised into Working Paper 70-49.).

219. "Solution and Sensitivity Analysis of a Non-Archimedean Linear Program for Budgetary Decisions in a Regulatory Agency," Technical Report, University Science Center, 1970, revised 1971, with W.W. Cooper, M.A. Keane, E.F. Snow, and A.S. Walters.

220. "Asymptotic Duality Over Closed Convex Sets," Journal of Math­ematical Analysis and Applications, Vol. 35, No.3, September 1971, pp. 677-691, with A. Ben-Israel and K.O. Kortanek.

221. "A Chance-Constrained Approach to Capital Budgeting with Portfolio Type Payback and Liquidity Constraints and Horizon Posture Controls," Studies in Budgeting, edited by R.F. Byrne, A. Charnes, W.W. Cooper, O.A. Davis, Dorothy Gilford, North-Holland, Am­sterdam, 1971, pp. 71-92, with R.F. Byrne, W.W. Cooper, and K.O. Kortanek.

222. "C2 and LPU2 Combinations for Treating Different Risks and Uncertainties in Capital Budgeting," Management Sciences Research Report No. 191, Carnegie-Mellon University, Graduate School of Industrial Administration, Pittsburgh, PA, 1969, with R. Byrne, W.W. Cooper, and K.O. Kortanek. Published in Studies in Budgeting, edited by R.F. Byrne, A. Charnes, W.W. Cooper, O.A. Davis, and Dorothy Gilford, North Holland, Amsterdam, 1971, pp. 93-137. Republished in Topics in Accounting Planning and Control, edited by R. Mattesich, Monograph 5, University of British Columbia, Faculty of Commerce and Business Administration, 1971.

223. "Mathematical Models for Manpower and Personnel Planning," Proceedings of the Symposium on Computer Simulation as Related to Manpower and Personnel Planning (Annapolis, Maryland), edited by Arthur I. Siegel, Washington, DC, U.S. Naval Personnel Research

APPENDIX 561

and Development Laboratory, 1971, pp. 39-69, with W.W. Cooper and R.J. Niehaus.

224. "Models of Fact and Laws of Behavior," Management Science, Vol. 17, No.5, January 1971, pp. 367-369, with W.W. Cooper, lK. DeVoe, and D.B. Learner.

225. "The 'More for Less' Paradox in the Distribution Model," Cahiers du Centre d' Etudes de Recherche Operationnelle, Vol. 13, No.1, 1971, pp. 11-22, with D. Klingman.

226. "Chance-Constrained Programming: An Extension of Statistical Method," Optimizing Methods in Statistics, (Proceedings ofthe OMIS Symposium at Ohio State University, June 1971), edited by Jagdish S. Rustagi, Academic Press, New York, 1971, pp. 391-402, with W.W. Cooper and M.J.L. Kirby.

227. "Economic Social and Enterprise Accounting and Mathematical Models," Urban Systems Institute Research Report No.3, School of Urban and Public Affairs, Carnegie-Mellon University, Pittsbugh, 1970, with W.W. Cooper, C. Colantoni, and K.O. Kortanek. Prepared for inclusion in a joint U.S.-U.S.S.R. (Academy of Science) Handbook on Management. Also, The Accounting Review, Vol. XLVII, No.1, January 1972, pp. 85-108.

228. "A Generalized Network Model for Training and Recruiting Decisions in Manpower Planning," chapter 8 in Manpower and Management Planning, edited by D.J. Bartholomew and A.R. Smith, English Universities Press, London, 1971, pp. 115-120, with W.W. Cooper and R.J. Niehaus.

229. "Regulatory Models for Pricing and Evaluation of Transport Services," Transportation Science, Vol. 6, No.1, February 1972, pp' 15-31 W.W. Cooper, M.J.L. Kirby, and W. Raike.

230. "Management Models and Industrial Applications of Linear Programming," Administrative Control and Executive Action, 2nd edition, edited by B.C. Lemke and J.D. Edwards, Charles E. Merrill, Columbus, OH, 1972, pp. 465-489, with W.W. Cooper.

231. "Analytical Models for Manpower Decisiot:1s," Naval Research Re­views, May 1972, pp. 1-9, with W.W. Cooper and R.J. Niehaus.

232. Mathematical Analysis of Decision Problems in Ecology (Proceedings of the NATO Conference held in Istanbul, Turkey, July 9-13,1973) in the series Lecture Notes in Biomathematics, Springer-Verlag, New York, 1975, 421 pages, edited with W.R. Lynn.

233. "Analytical Models for Manpower Decisions," Proceedings of the Naval Conference on Manpower Research with Special Reference to All-Volunteer Force, Washington, DC, U.S. Navy, edited by Ronald

562 APPENDIX

Weitzman, October 1972, pp. 59-75, with W.W. Cooper and R.I. Niehaus.

234. "An Algorithm for Multi-Attribute Assignment Models and Spectral Analyses for Dynamic Organization Design," Proceedings of the Naval Conference on Manpower Research with Special Reference to the All-Volunteer Force, Washington, DC, U.S. Navy, edited by Ronald Weitzman, October 1972, pp. 153-175, with W.W. Cooper, R.I. Niehaus and D. Sholtz.

235. "Information Requirements for Urban Systems: A View into the Possible Future?" Management Science: Applications, Vol. 19, No. 4, Part II, December 1972, pp. 7-20, with G. Kozmetsky and T. Ruefli.

236. "An Explicit General Solution in Linear Fractional Programming," Naval Logistics Research Quarterly, Vol. 20, No.3, September 1973, pp. 449-467, with W.W. Cooper.

236a. "ORSA/TIMS Collaboration: Comments and Suggestions in Response to the Report of the Blumstein Committee," ORIMS Today, Vol. 3, No. 6, November 1973, pp. 12-13, with W.W. Cooper and G. Kozmetsky.

237. Studies in Manpower Planning, Office of Civilian Manpower Planning, Department of the Navy, Washington, DC, July 1972, 205 pages, with W.W. Cooper and R.I. Niehaus,.

238. "Measuring, Monitoring and Modeling Quality of Life," Management Science, Vol. 19, No. 10, June 1973, pp. 1172-1188, with W.W. Cooper and G. Kozmetsky.

239. "A Model to Study Revenue Sharing and Account for Regional Economic Activity and Social Goals," Management Science, Vol. 19, No. 10, June 1973, pp. 1189-1208, with W.W. Cooper, A. Colantoni, and K.O. Kortanek.

240. Management Science, Ecology, and the Quality of Life, edited with W.W. Cooper and G. Kozmetsky, Management Science, Application Series, Vol. 19, No. 10, June 1973, The Institute of Management Science, Waverly Press, Providence, RI.

241. "An Extremal and Information-Theoretic Characterization of Some Interzonal Transfer Models," Journal of Socio-Economic Planning Sciences, Vol. 6, No.6, 1972, pp. 531-537, with W.M. Raike and C.O. Bettinger.

242. "Optimal Economic Stabilization Policy: Linear Goal-Interval Programming Models," Socio-Economic Planning Sciences, Vol. 6, 1972, pp. 431-435, with B. Collomb.

243. "Library Manpower Management with Retention and Work Backlogging Constraints," Proceedings of the LARC Institute Meeting, Washington, DC, January 1973, with M. Ryan.

APPENDIX 563

244. "Comments on 'Operations Research and Management Science Today, or Does an Education in Checkers Really Prepare One for a Life of Chess?" , Operations Research, Vol. 21, No.3, May-June 1973, pp. 858-861, with W.W. Cooper and B. Mellon.

245. "An Hierarchical Goal Programming Approach to Environmental­Land Use Management," in Mathematical Analysis of Decision Problems in Ecology (Proceedings of the NATO Conference, Istanbul, Turkey, July 9-13, 1973), edited by A Charnes and W.R. Lynn, Springer-Verlag, New York, 1975, pp. 2-13, with K. Haynes, J. Hazleton, and M. Ryan.

246. "Prior Solutions: Extensions of Convex Nucleus Solutions to Chance­Constrained Games," Proceedings, Computer Science and Statistics: Seventh Annual Symposium on the Interface, Iowa State University, October 1973, with Daniel Granot.

247. "Core-Stem Solutions ofN-Person Essential Games," Socio-Economic Planning Sciences, Vol. 7, 1973, pp. 649--660, with S. Littlechild and S. Sorensen.

248. "TIMS in Perspective 1954, 1964, 1974; 1984?," TIMS Interfaces, Vol. 4, No.2, February 1974, pp. 11-20, with W.W. Cooper and G. Kozmetsky.

249. "Multi-Level Model for Career Management and Resource Planning," Management Sciences Research Report, Carnegie-Mellon University Graduate School of Industrial Administration, Pittsburgh, PA, July 1971, with W.W. Cooper, R.J. Niehaus, and D. Sholtz. Also in Manpower Planning Models, proceedings of a NATO Conference in Cambridge, England (September 6-10, 1971), edited by OJ. Clough, D.G. Lewis, and AL. Oliver, English Universities Press, Ltd., London, 1974, pp. 91-112.

250. "An Extremal Principle for Accounting Balance of a Resource Value­Transfer Economy: Existence, Uniqueness, and Computation," Rendiconti di Accademia Nazionale dei Lincei, April 1974, pp. 556-561, with W.W. Cooper.

251. "Integrated Manpower and Program Planning Models for Laboratory Management," The Journal of Navy Civilian Manpower Management, Vol. VIII, No.2, Summer 1974, pp. 17-23, with W.W. Cooper, R.I. Niehaus, and K. Padalino.

252. "Economic Social and Enterprise Accounting and Mathematical Models," Accounting for Social Goals: Budgeting and Analysis of Nonmarket Projects, edited by John Leslie Livingstone and Stanford Gunn, Harper and Row, New York, 1974, with A. Colantoni, W.W. Cooper, and K.O. Kortanek. Republished in Readings in Social

564 APPENDIX

Accounting, edited by Lee J. Seidler, Melville Publishing Co., 1974. Republished in Social Accounting, edited by Elias and Epstein.

253. "On Generation of Test Problems for Linear Programming Codes," Communications of the ACM, Vol. 17, No. 10, October 1974, with W. Raike, J. Stutz, and A. Walters.

254. "An Analysis and Program for Modeling Equal Opportunity Employment Planning," U.S. Navy Office of Civilian Manpower Management, Washington, DC, October 1975, with W.W. Cooper, K.A. Lewis and R.J. Niehaus.

255. "Constrained N-Person Games," International Journal of Game Theory, Vol. 3, Issue 3, 1974, pp. 141-158, with S. Sorensen.

256. "NEWS Report: A Discussion of the Theory and Application of the Planning Portion of DEMON," Models of Buyer Behavior, Conceptual, Quantitative and Empirical, edited by Jagdish H. Sheth, Harper and Row, New York, 1974, pp. 296-309, with W.W. Cooper, J.K. DeVoe, D.B. Learner, Lawrence Light, L. Pringle, and E.F. Snow.

257. "Application of Linear Programming to Financial Planning," chapter 46, Financial Analyst's Handbook, edited by S. Levine, Dow­Jones-Irwin, Homewood, IL, 1974, with W.W. Cooper and M.A. Keane.

258. "DEMON: A Management Model for Marketing New Products," Product Management, edited by P. Law, C. Weinberg, P. Doyle, and K. Simmons, Harper and Row, European Marketing Series, London, Series, 1975, pp. 127-141.

259. "DEMON: A Management Model for Marketing New Products," Spanish translation in Cuadernos de Planificacion Empresariai y Marketing, 1975.

260. "Existence and Representation of Diophantine and Mixed Diophantine Solutions to Linear Equations and Inequalities," Discrete Mathematics, Vol. 11, Nos: 3 and 4, March-April 1975, North Holland, Amster­dam, pp. 233-248, with F. Granot.

261. "A Hierarchical Goal-Programming Approach to Environmental Land Use Management," Geographical Analysis, Vol. 7, April 1975, pp. 121-130, with K. Haynes, Jared E. Hazleton, and M. Ryan.

262. "Constrained Kullback-Leibler Estimation; Generalized Cobb­Douglas Balance, and Unconstrained Convex Programming," Rendiconti di Accademia Nazionale dei Lincei, Serle VIII, Vol. LVIII, fasc. 4, April 1975, pp. 568-576, with W.W. Cooper.

263. "On the Formation of Unions in n-Person Games," Journal of Economic Theory, Vol. 10, No.3, June 1975, pp. 386-402, with S. Littlechild.

APPENDIX 565

264. "Dynamic Multi-Attribute Models for Mixed Manpower Systems," presented at :xx TIMS International Meeting in Israel (June 1973). Naval Research Logistics Quarterly, Vol. 22, No.2, June 1975, with W.W. Cooper and R. Niehaus. Also printed in Manpower Planning for Canadians, University of British Columbia Conference, 1975, pp. 318-342, with W.W. Cooper and RJ. Niehaus.

265. "Past, Present and Future of Large Scale Transshipment Computer Codes and Applications," Computers and Operations Research Journal, Vol. 2, 1975, pp. 71-81, with F. Glover, D. Karney, D. Klingman, and J. Stutz.

266. "Goal Programming and Constrained Regression-A Comment," OMEGA. The International Journal of Management Science, Vol. 3, No.4, 1975, pp. 403-409, with W.W. Cooper.

267. "V-Positivity, Poverses and the Economic Global Unicity Theorems of Gale and Nikaido," Zeitschriftfiir Operations Research, Band 19, 1975, pp. 115-121, with W. Raike and 1. Stutz.

268. "On Improving Bounds for Variables in Linear Integer Programs by Surrogate Constraints," Canadian Journal of Operational Research and Information Processing, 1975, with D. Granot and F. Granot.

269. Development of a System of Equal Employment Opportunity Human Resources Planning Models, Navy Personnel Research and Development Center Monograph, San Diego, CA, with W.W. Cooper, K. Lewis and R.J. Niehaus.

270. "A Multi-Objective Model for Planning and Equal Employment Opportunities," Lecture Notes in Economics and Mathematical Systems, Proceedings Multiple Criteria Decision Making (Kyoto, Japan, 1975), New York, Springer-Verlag, 1976, pp. 111-134, with W.W. Cooper, K.A. Lewis, and RJ. Niehaus.

271. "Explicit Solutions in Convex Goal Programming," Management Science, Vol. 22, No.4, December 1975, pp. 438-448, with W.W. Cooper, D. Klingman, and RJ. Niehaus.

272. "A Comment on Blau's Dilemma in 'Stochastic Programming' and Bayesian Decision Analysis," Management Science, Vol. 22, No.4, December 1975, pp. 498-500, with W.W. Cooper.

273. "Generalization of Domination Structures and Nondominated Solutions in Multicriteria Decision Making," Journal of Optimization Theory and Application, Vol. 18, No.1, January 1976, pp. 3-13, with K. Bergstresser and P.L. Yu.

274. "A Futurological Justification for Historical Cost and Multi­Dimensional Accounting," published in a dedicatory volume, Accounting Organizations and Society, presented to Taminosuke

566 APPENDIX

Nishimura on the occasion of his becoming Professor Emeritus of Accounting at Doshisha University, Cho Keizai Sha, Publisher, 1976, pp. 211-257, with C.S. Colantoni and W.W. Cooper. Also printed in Accounting, Organizations and Society, Vol. 1, No.4, Pergamon Press, Great Britain, 1976, pp. 315-337.

275. "The Equivalence of Generalized Least Squares and Maximum Likelihood Estimates in the Exponential Family," Journal of the American Statstical Association, Vol. 71, No. 353, March 1976, pp. 169-171, with E.L. Frome and P.L. Yu.

276. "A Note on Explicit Solution in Linear Fractional Programming," Naval Research Logistics Quarterly, Vol. 23, No.1, March 1976, pp. 161-167, with F. Granot and D. Granot.

277. "An Algorithm for Solving General Fractional Interval Programming Problems," Naval Research Logistics Quarterly, Vol. 23, No.1, March 1976, pp. 53-65, with F. Granot and D. Granot.

278. "Some New Approaches to Risk," Concepts and Applications of Modern Decision"Models, edited by V.M. Roa Tummala and Richard C. Henshaw, MSU Business Studies, 1976, pp. 190-210, with R. Byrne, W.W. Cooper, and K.O. Kortanek.

279. "A Goal Interval Programming Model for Resource Allocation in a Marine Environmental Protection Program," invited paper at the March-April 1976 ORSA-TIMS Meeting (Philadelphia). Journal of Environmental Economics and Management, Vol. 3, No.4, 1976, pp. 347-362, with W.W. Cooper, J. Harrald, K. Karwan, and W.A. Wallace.

280. "Extremal Methods in Logistics Research: A Developmental Survey," chapter 14 in Modern Trends in Logistics Research, edited by W.H. Marlow, MIT Press, Cambridge, MA-London, 1976, with W.W. Cooper and Edward S. Bres, III.

281. "DEMON: A Management Model for Marketing New Products," Corporate Strategy and Product Innovation, edited by Robert R. Rothberg, The Free Press, Division of MacMillan, New York, 1976, pp. 486-504, with W.W. Cooper, J.K. DeVoe, and D.B. Learner.

282. "A 'Generalized Distance' Estimation Procedure of Intra-Urban Interaction," Geographical Analysis, Vol. VIII, No.3, July 1976, pp. 289-294, with K. Haynes and F. Phillips.

283. "Coalitional and Chance-Constrained Solutions to n-Person Games I: The Prior Satisficing Nucleolus," SIAM Journal of Applied Mathematics, Vol. 31, No.2, September 1976, pp. 358-367, with D. Granot. Invited paper presented at the November 1973 meeting of ORSA.

APPENDIX 567

284. "A Theorem on Homogeneous Functions and Extended Cobb-Douglas Forms," Proceedings of the National Academy of Science U.SA., Vol. 73, No. 10, October 1976, pp. 3747-3748, with W.W. Cooper and A.P. Schinnar.

285. "On Intersection Cuts in Interval Integer Linear Programming," Operations Research, Vol. 25, No.2, March-April 1977, pp. 352-355, with D. Granot and F. Granot.

286. "Necessary and Sufficient Conditions for a Pareto Optimum in Convex Programming," Econometrica, Vol. 45, No.4, May 1977, pp. 811-820, with A. Ben-Israel and A. Ben-Tal.

287. "A Modified Algorithm for Solving Interval Integer Linear Programming Problems," Cahiers du Centre d' Etudes Recherche Operationnelle, Vol. 18, 1976, pp. 323-335, with F. Granot.

288. "Primal and Dual Optimality Criteria in Convex Programming," Zeitschrift fur Operations Research, Band 21, Wiirzburg, Physica­Verlag, 1977, pp. 197-209, with A. Ben-Tal.

289. "Goal Programming Models and Algorithms for Navy Officer Distribution," Management Science, Special Issue, 1977, with D. Cass, W.W. Cooper, and R.I. Niehaus.

290. "Constructive Proofs of Theorems Relating to F(x)=y, With Applications," Mathematical Programming, Vol. 12, July 1977, pp. 328-343, with C.B. Garcia and C.E. Lemke. Presented at the International TIMS XXII Meeting, Kyoto, Japan, July 1975.

291. "A Primal Algorithm for Interval Linear Programming Problems," Linear Algebra and Its Applications, Vol. 17, 1977, pp. 65-78, with D. Granot and F. Granot.

292. "An Algorithm for Solving Interval Linear Programming Problems," Operations Research, Vol. 25, No.4, July-August 1977, pp. 688-695, with F. Granot and F. Phillips.

293. "Goal Programming and Multiple Objective Optimizations: Part I," European Journal of Operational Research, Vol. 1, August 1977, pp. 39-54, with W.W. Cooper. Presented at the TIMS/ORSA Meeting, Las Vegas, NV, November 19, 1975.

294. "Dual Extended Geometric Programming Problems and the Gravity Model," Journal of Regional Science, Vol. 17, No.1, 1977, pp. 71-76, with K. Haynes, F. Phillips, and G. White.

295. "Managerial Economics: Past, Present, and Future," Journal of En­terprise Management, Vol. 1, No. 1/2, 1978, pp. 5-23, with W.W. Cooper.

296. "A Multi-Level Coherence Model for EEO Planning," Management Science Approaches to Manpower Planning and Organizations Design,

568 APPENDIX

TIMS Studies in the Management Sciences, edited by A. Chames, w.w. Cooper and R.J. Niehaus, Vol. 8, 1978, pp. 13-29, with W.W. Cooper, K.A. Lewis, and R.J. Niehaus. Invited paper, ORSA-TIMS Meeting (Miami, Florida, November 1976). An earlier version of this paper was presented at the AT&T Conference organized by the Operations Research Department of the Bell Laboratories at Holmdel, NJ, on October 21-22, 1976.

297. "Equal Employment Opportunity Planning and Staffing Models," Proceedings of the Conference on Manpower Planning and Organiza­tion Design at Stresa Italy, June 20-24,1977, Vol. 7, NATO Con­ference Series, 1978, with W.W. Cooper, K.A. Lewis, and R.J. Niehaus.

298. Management Science Approaches to Manpower Planning and Organization Design. TIMS Studies in the Management Sciences, Vol. 8, 1978, North Holland, Amsterdam, 252 pages, edited with W.W. Cooper and R.J. Niehaus.

299. "Degeneracy in Special Purpose Algorithms Used in Obtaining Least Absolute Value Estimators," Belgian Journal of Statistics, Computer Science, and Operational Research, Vol. 18, No.1, January 1978, pp. 45-66, with R.D. Armstrong and J.P. Godfrey.

300. "Constrained Information Theoretic Characterizations in Consumer Purchase Behavior," Journal of the Operational Research Society, 1978, pp. 833-842, with W.W. Cooper and D.B. Leamer.

301. Extremal Principles and Optimization Dualities for Khinchin­Kullback-Leibler Estimation," Mathematische Operationsforschung und Statistik, Vol. 9, No.1, 1978, pp. 21-29, with W.W. Cooper and L. Seiford.

302. "Complements, Mollifiers and the Propensity to Disrupt," International Journal of Game Theory, Vol. 7, Issue 1, 1978, pp. 37-50, with J. Rousseau and L. Seiford.

303. "Costs and Their Assessment to Users of a Medical Library, Part III: Allocating Fixed Joint Costs," Proceedings Volume: International Conference on Applied Game Theory (Vienna), 1978, with E. Bres, D. Eckels, S. Hitt, R. Lyders, J. Rousseau, K. Russell, and M. Schoeman.

304. "Measuring the Efficiency of Decision Making Units," European Journal of Operational Research, Vol. 2, No.6, November 1978, pp. 429-444, with W.W. Cooper and E. Rhodes.

305. "Breakeven Budgeting and Programming to Goals," in Contemporary Issues in Cost and Managerial Accounting (3rd edition), edited by H. Anton, P. Firmin, and H. Grove, Houghton Mifflin, Boston, 1978, pp. 283-310, with W.W. Cooper and Y. Ijiri.

APPENDIX 569

306. "Equal Employment Opportunity Planning and Staffing Models," Manpower Planning and Organization Design, edited by Donald T. Bryant and Richard J. Niehaus, Plenum, New York, 1978, pp. 367-382, with W.W. Cooper, K.A Lewis, and RJ. Niehaus. Also, Hu­man Resource Planning, 1978, pp. 103-112.

307. "Gradient States for Some Dualities with the C2 Extremal Principle," in Quantitative Planning and Control (Essays in Honor of William Wager Cooper on the Occasion of His 65th Birthday), Part I: Mathematical Programming and Decision Models, edited by Y. Ijiri and A Whinston, Academic Press, New York, 1979, pp. 3-8; also Memoria del III Congreso Academia Nacional de Ingeneria. A.C., Oaxtepec, Morelos, Mexico, 1977, pp. 449-501, with L. Seiford.

308. "A Dual Optimization Framework for Some Problems of Information Theory and Statistics," Journal of Problems of Control and Information Theory, Vol. 8, Nos. (5-6), pp. 387-401, 1979, with A Ben-Tal.

309. "Adventures in Invention," preface for Quantitative Planning and Control (Essays in Honor of William Wager Cooper on the Occasion of His 65th Birthday), Part I: Mathematical Programming and Decision Models, edited by Y. Ijiri and A. Whinston, Academic Press, New York, 1979.

310. "Page Cuts for Integer Interval Linear Programming," Discrete Applied Mathematics, Vol. I, 1979, pp. 1-14, with R. Armstrong and F. Phillips.

311. "A Chance-Constrained Goal Programming Model to Evaluate Response Resources for Marine Pollution Disasters," Journal of Environmental Economics and Management, Vol. 6, No.3, September 1979, pp. 244-274, with W.W. Cooper, K.R. Karwan, and W.A. Wallace.

312. "M.D.1. Estimation Via Unconstrained Convex Programming," Memoria Quinto Congreso, Academia Nacional de Ingenieria, Morelia, Mexico, September 1979, pp. 225-228. Also, Communications in Statistics, Vol. B-9, No.3, 1980, pp. 223-234, with P. Brockett and W.W. Cooper.

313. "A Goal Focusing Approach to Analysis of Trade-offs Among Household Production, Outputs," Proceedings of the Annual Meeting of the American Statistical Association, Washington, DC, August 1979, pp. 194-199, with W.W. Cooper, AP. Schinnar, and N.E. Terleckyj.

314. "Costs and Their Assessment to Users of a Medical Library, Part III: A Game-Theoretic Method for Allocating Joint Fixed Costs," Applied Game Theory, edited by SJ. Brams, A Schotter, and G. Schwodiauer, Physic a-Verlag, West Germany, 1979, pp. 334-351, with E. Bres,

570 APPENDIX

D. Cole Eckels, S. Hitt, R. Lyders, J. Rousseau, K. Russell, and M. Schoeman.

315. "Separably-Infinite Programs," Zeitschrift fur Operations Research, Vol. 24, 1980, pp. 33-45, with P.R. Gribik and K.O. Kortanek.

316. "Degeneracy and the More-For-Less Paradox," Journal of Informa­tion and Optimization Sciences, Vol. 1, 1980, pp. 52-56, with S. Duffuaa and M. Ryan.

316a. "A Theorem and Approach to Market Segmentation," MRCA Re­search Report, Chicago, Market Research Corporation of America, July 1979, with W.W. Cooper, D.B. Learner and F.Y. Phillips. Proceedings-Market Measurement and Analysis, edited by R.P. Leone, published by the TIMS College on Marketing and The Institute of Management Sciences, 1980.

317. "A Goal Programming Model for Planning Officer Accessions," Management Science, Vol. 26, No.8, August 1980, pp. 773-783, with E. Bres, D. Burns, and W.W. Cooper.

318. "Management Science Relations for Evaluation and Management Accountability," Journal of Enterprise Management, Vol. 2, No.2, 1980, pp. 143-162, with W.W. Cooper.

319. "Auditing and Accounting for Program Efficiency and Management Efficiency in Not-for-Profit Entities," Accounting, Organizations, and Society, Vol. 5, No.1, 1980, pp. 87-107, with W.W. Cooper.

320. "Polyextremal Principles and Separably Infinite Programs," Zeitschrift fur Operations Research, Vol. 24, 1980, pp. 211-234, with P.R. Gribik and K.O. Kortanek.

321. "An Efficiency Opening for Managerial Accounting in Not-for-Profit Entities," Management Accounting 1980, (Proceedings of the Univer­sity of Illinois Management Accounting Symposium, November 7, 1979), edited by H. Peter Holzer, pp. 21-47, with W.W. Cooper and E. Rhodes.

322. "A Goal Programming Model for the Siting of Multilevel EMS Systems," Socio-Economic Planning Sciences, Vol. 14, No.4, 1980, pp. 155-161, with J. Storbeck.

323. "Complexity and Computability of Solutions to Linear Programming Systems," International Journal of Computer and Information Sciences, Vol. 9, No.6, December 1980, pp. 483-506, with W.W. Cooper, S. Duffuaa, and M. Kress.

324. "New Applications of Interval Programming," Memoria Sexto Congreso, Academia Nacional de Ingenieria, September 1980, Queretaro, Mexico, pp. 155-157, with W.W. Cooper, S. Duffuaa, and M. Kress.

APPENDIX 571

325. "Evaluating Program and Managerial Efficiency: An Application of Data Envelopment Analysis to Program Follow Through," Management Science, Vol. 27, No.6, June 1981, pp. 668-697, with W.W. Cooper and E. Rhodes.

326. "Effective Solution of Non-Convex Multi-Objective Ratio Goals Problems," Memoria Septimo Congreso, Academia Nacional de Ingenieria, A.C., September 1981, Oaxaco, Mexico, pp. 141-145, with R. Armstrong, W.W. Cooper, and C. Haksever.

327. "Models for Affirmative Action Planning and Evaluation," Man­agement Science, Vol. 27, No. 12, December 1981, pp. 1465-1468, with W.W. Cooper, K.A. Lewis, and R.J. Niehaus.

328. "A Bi-Extremal Principle for Frontier Estimation and Efficiency Evaluations," Management Science, Vol. 27, No. 12, December 1981, pp. 1370-1382, with R. Banker, W.W. Cooper, and A. Schinnar.

329. ''Transforms and Approximations in Cost and Production Function Relations," OMEGA-The International Journal of Management Science, Vol. 10, No.2, 1982, pp. 207-211, with W.W. Cooper and A. Schinnar.

330. "Khincin-Kullback-Leibler Estimation with Inequality Constraints," Mathematische Operationsforschung und Statistik, Series Optimization, Vol. 14, No.3, 1983, pp. 377-380, with W.W. Cooper and J. Tyssedal.

331. "Chance-Constrained Programming Methods in Probabilistic Programming-A Response to A.J. Hogan, J.G. Morris and H.E. Thompson, 'Decision Problems Under Risk and Chance Constrained Programming: Dilemmas in the Transition,'" Management Science Communication, Vol. 29, No.6, June 1983, pp. 750-753, with W.W. Cooper.

332. "Mollifiers for Games in Normal Form and the Harsanyi-Selten Valuation Function," International Journal of Game Theory, Vol. 11, Issue 3/4, 1982, pp. 163-174, with J. Rousseau and L. Seiford.

333. "Handling Artificial Variables in a Simplex Method: A Commentary," Journal of Information and Optimization Sciences, Vol. 4, No.1, 1983, pp. 41-42, with W.W. Cooper.

334. "A Multiplicative Model for Efficiency Analysis," Journal of Socio­Economic Planning Science, Vol. 16, No.5, 1982, pp. 223-224, with W.W. Cooper, L. Seiford, and J. Stutz.

335. "Model Extension and Computation in Goal-Arc Network Approaches for EEO Planning," Special Issue INFOR, Vol. 20, No.4, November 1982, pp. 315-335, with W.W. Cooper, A. Nelson, and R. Niehaus.

336. "The Non-Archimedean CCR Ratio for Efficiency Analysis: A Rejoinder to Boyd and Fare," European Journal of Operational

572 APPENDIX

Research, Vol. 15, No.3, March 1984, pp. 333-334, with W.W. Cooper.

337. "Invariant Multiplicative Efficiency and Piecewise Cobb-Douglas Envelopments," Operations Research Letters, Vol. 2, No.3, August 1983, pp. 101-103, with W.W. Cooper, L. Seiford, and J. Stutz.

338. "Homocores, Cores and Operational Inefficiency in Superadditive N­Person Games," International Journal of Systems Science, Vol. 14, No.8, August 1983, pp. 877-893, with B. Golany.

339. "Evaluation of Educational Program Proposals by Means of DEA," Educational Administration Quarterly, Vol. 19, No.2, Spring 1983, pp. 82-107, with A. Bessent, W. Bessent, W.W. Cooper and N. Thorogood.

340. "A Saddle Value Characterization of Fan's Equilibrium Points," Lecture Notes in Economics and Mathematical Systems, Semi-Infinite Programming and Applications (An International Symposium, Austin, Texas, 1981), Springer-Verlag, New York, 1983, pp. 37-49, with K. Kortanek and V. Lovegren.

341. "Measuring Efficiency and Tradeoffs in Attainment of EEO Goals," Work, Organizations, and Technological Change, NATO Conference Series, Series II: Systems Science, Vol. 11, edited by Gerhard Mensch and Richard Niehaus, Plenum Press, New York, 1982, pp. 241-256, with W.W. Cooper, R.I. Niehaus and A.P. Schinnar.

342. "Extremal and Game-Theoretic Characterizations of the Probabilistic Approach to Income Redistribution," Journal of Optimization Theory and Applications, Vol. 44, No.3, November 1984, pp. 435-451, with S. Duffuaa and M. Intriligator.

343. "Real Essentiality and Homocores in Superadditive N-Person Games," Memoria IX Congreso, Academia Nacional de Ingenieria, A.C., September 1983, Leon, Gto., Mexico, pp. 224-229, with B. Golany.

344. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, Vol. 30, No.9, September 1984, pp. 1078-1092, with W.W. Cooper and R. Banker.

345. "An MOl Model and an Algorithm for Composite Hypotheses Testing in Marketing," Marketing Science, Vol. 3, No.1, Winter 1984, pp. 55-72, with W.W. Cooper, D. Leamer, and F.Y. Phillips.

346. "A Duality Theory for A Class of Problems with Essentially Unconstrained Duals," Methods of Operations Research, Vol. 45,1983, pp. 23-33, with J. Barzilai and A. Ben-Tal. Proceedings of the 7th Symposium on Operations Research, St. Gallen, Switzerland (August 19-21, 1982), edited by H. Loeffel and P. Stahly. Published by Athenaum Printers, Konigstein, Germany.

APPENDIX 573

347. Creative and Innovative Management: Essays in Honor of George Kozmetsky, Ballinger Publishing Company, Cambridge, MA, 1984, 268 pages, edited with W.W. Cooper.

348. "A Chance-Constrained Programming Approach to Cost-Volume-Profit Analysis," The Accounting Review, Vol. LIX, No.3, July 1984, pp. 474-487, with P. Brockett, W.W. Cooper, and H.-C. Shin.

349. "Sensitivity and Stability Analysis in DEA," Annals of Operations Research, Vol. 2,1985, pp. 139-156, with W.W. Cooper, A. Lewin, R. Morey, and J. Rousseau.

350. "Management Science and Marketing Management," Journal of Marketing, Vol. 49, No.2, Spring 1985, pp. 93-105, with W.W. Cooper, D. Learner, and F. Phillips.

351. "The Extreme Point Characterization of Semi-Infinite Dual Non­Archimedean Balls," Zeitshriftfur Operations Research, Vol. 28, 1984, pp. 101-115, with T. Song.

352. "Data Envelopment Analysis and Regression Approaches to Efficiency Estimation and Evaluation," Annals of Operations Research, Vol. 2, 1985, pp. 113-138, with W.F. Bowlin, W.W. Cooper, and H.D. Sherman.

353. "A Comparison of DEA and Translog Estimates of Production Frontiers Using Simulated Observations from a Known Technology," Journal of Economics, Vol. No. pp. , with R. Banker, W.W. Cooper, and A. Maindiratta, and Applications of Modem Production Theory: Effi­ciency and Productivity, edited by A. Dogramaci and R. Hire, Kluwer Academic Publishers, Boston, 1987, pp. 33-55.

354. "A Developmental Study of Data Envelopment Analysis in Measuring the Efficiency of Maintenance Units in the U.S. Air Forces," Annals of Operations Research, Vol. 2, 1985, pp. 95-112, with C.T. Clark, W.W. Cooper, and B. Golany.

355. "Semi-Infinite Programming and Continuum Mechanics," Special Study Issue of Mathematical Programming, 1986, with K.O. Kortanek.

356. "Constructing a Unimodal Prior Distribution," Memoria X Congreso, Academia Nacional de Ingenieria, A.C., September 1984, Sonora, Mexico, pp. 145-148, with P. Brockett and K. Paick.

357. "Preface to Topics in Data Envelopment Analysis," Annals of Operations Research, special issue edited by R.G. Thompson and R.M. Thrall, Vol. 2, 1985, pp. 59-94, with W.W. Cooper.

358. "Evaluating Program and Managerial Efficiency: An Application of Data Envelopment Analysis to Program Follow Through," Szigma XVII, 1984, pp. 87-118, with W.W. Cooper and E. Rhodes (Hungarian translation).

574 APPENDIX

359. "Foundations of Data Envelopment Analysis for Pareto-Koopmans Efficient Empirical Production Functions," Special Issue of Journal of Econometrics, Vol. 30, 1985, pp. 91-107, with W.W. Cooper, B. Golany, L. Seiford, and 1. Stutz.

360. "A Goal Programming System for the Management of the U.S. Army's Seashore Rotation Program," Human Resource Policy Analysis: Organizational Applications, edited by Richard J. Niehaus, Prager Publishing, pp. 145-172, 1985, with W.W. Cooper, B. Golany, V. Lovegren, W.T. Mayfield, and M. Wolfe.

361. "Mathematical Models for Goals Accounting Exploration." The Production of Well-Being, edited by N. Terleckyj, The National Planning Association, Washington, DC, 1987, with W.W. Cooper and N.E. Terleckyj.

362. "Computation of Minimum Cross Entropy Estimates: An Unconstrained Dual Convex Programming Method," Memoria del XI Congreso, Academia Nacional de Ingenieria, A.C., September 25-27, 1985, San Luis Potosi, Mexico, with P. Brockett and K. Paick.

363. "A Goal-Focusing Approach to Analysis of Intergenerational Transfers of Income," International Journal of Systems Science, Vol. 17, No. 3, 1986, pp. 433-446, with W.W. Cooper, J.J. Rousseau, A. Schinnar, N.E. Terleckyj, and D. Levy.

364. "Design and Implementation of Data Structures for Generalized Networks," Journal of Information and Optimization Sciences, Vol. 7, No.2, May 1986, pp. 81-104, with I. Ali and T. Song.

365. "A Two-Segment Approximation Algorithm for Separable Convex Programming with Linear Constraints," Mathematische Operationsforschung und Statistik-Series Optimization, Vol. 17, No. 2, 1986, pp. 147-159, with I. Ali and T. Song.

366. "Least Squares/Ridge Regressions and Goal Programming/Con­strained Regression Alternatives," European Journal of Operations Research, Special Issue on Operations Research/Statistics Interface, edited by S. Zanakis, Vol. 27, Issue 2,1986, pp. 146-157, with W.W. Cooper and T. Sueyoshi.

367. "A Goal Interval Approach for Some Tanker Distributional Policy Analysis," Proceedings, XII Congreso de la Academia Nacional de Ingenieria, Saltillo, Mexico, September 23-26, 1986, pp. 462-467, with J. Gomez.

368. "Computation of Minimum Cross Entropy Estimates: An Unconstrained Dual Convex Programming Method," IEEE Transactions on Information Theory, Vol. IT-32, No.2, March 1986, pp. 236-242, with P. Brockett and K. Paick.

APPENDIX 575

369. "Emergency Government Interventions: Case Study of Natural Gas Shortages," Management Science, Vol. 32, No. 10, October 1986, pp. 1242-1258, with W.W. Cooper, W.L. Gorr, C. Hsu, and B. von Rabenau.

370. "Karmarkar's Projective Algorithm: A Null Space Variant for Multi­Commodity Generalized Networks," ACTA Mathematicae Applicatae Sinica (English Series), Vol. 2, No.2, December 1985, pp. 178-190, with I. Ali and T. Song.

371. "Classifying and Characterizing Efficiencies in Data Envelopment Analysis," OR Letters, Vol. 5, No.3, August 1986, pp. 105-110, with W. W. Cooper and R. Thrall.

372. "Efficiency and Effectiveness in DEA: An Illustrative Application to Base Maintenance Activities in the U.S. Air Force," to appear in book containing papers on Cost-Benefit Analysis, edited by Otto A. Davis, with W.W. Cooper and W.F. Bowlin.

373. "Cost-Volume-Utility Analysis with Partial Stochastic Information," The Quarterly Review of Economics and Business, Vol. 27, No.3, 1987, pp. 70-90, with P. Brockett, W.W. Cooper, and H.-C. Shin.

374. "A Goal Programming/Constrained Regression Review of the Bell System Breakup," Management Science, Vol. 34, No.1, January 1988, pp. 1-26, with W.W. Cooper and T. Sueyoshi.

375. "Successive Linear Programming for Ratio Goal Problems," European Journal of Operational Research, Vol. 32, No.3, Dec. 1987, pp. 426-434, with R. Armstrong and C. Haksever.

376. "The More-for-Less Paradox in Linear Programming," European Journal of Operations Research, Vol. 31, 1987, pp. 194-197, with S. Duffuaa and M. Ryan.

377. "Optimal Design Modifications by Geometric Programming and Constrained Stochastic Network Models," International Journal of Systems Science, Vol. 19, No.6, 1988, pp. 825-844, with W.W. Cooper, B. Golany and J. Masters.

378. "Toward Resource Value Transfer Economics," for Karl Fox 70th Birthday Volume, with S. Littlechild and J. Rousseau.

379. "An Extended Cobb-Douglas Form for Use in Production Economics," For Karl Fox 70th Birthday Volume, with W.W. Cooper and A. Schinnar.

380. "Extremal Principle Solutions of Games in Characteristic Function Form: Core, Chebychev, and Shapley Value Generalizations," Gerhard Tintner Memorial Volume, Econometrics of Planning and Efficiency, edited by Sengupta and Kadekodi, Martinus Nijhoff, Dordrecht, 1988, pp. 123-133, with B. Golany, M. Keane, and J. Rousseau.

576 APPENDIX

381. "Implementation of Successive Linear Programming Algorithms for Non-Convex Goal Programming," Computers and Operations Research, Vol. 15, No.1, 1988, pp. 37-49, with R Armstrong and C. Haksever.

382. "Using Data Envelopment Analysis to Measure the Efficiency of Not-for-Profit Organizations: A Critical Evaluation-Comment," Managerial and Decision Economics, Vol. 9, No.3, 1988, pp. 251-253, with W.W. Cooper and T. Ahn.

383. "Opposite Sign Algorithm for 'Purification' to an Extreme Point Solution," Proceedings, XIII Congreso, Academia Nacional de Ingenieria. A.C., September 22-23,1987, Guadalajara, Mexico, with K. Kortanek.

384. "A Goal Programming/Constrained Regression Study of AT&T as a Natural Monopoly," to appear in Papers in Cost/Benefit Analysis, edited by O.A. Davis, with W.W. Cooper and T. Sueyoshi.

385. "Optimal Hiring Decisions for Entry-Level Auditors in a CPA Firm. A Computerized Model for The Improvement of Hiring Practices," Advances in Accounting, forthcoming, with W.W. Cooper, J. Dietrick, W.H. Moody, and H.C. Shin.

386. "Comments on the Paper, 'The NRRI Peak-Responsibility Cost-of­Service Method: Theory, Applicability to InterLAT A Networks, and Efficiency Concerns,' by William Pollard and Baumin Lee," Telecommunications Deregulation: Market Power and Cost Allocation Issues (Proceedings of the Conference on "Current Issues in Regulation: Dominance and Cost Allocation in Interexchange Markets," October 5-6, 1987, Austin, Texas), edited by John R Allison and Dennis L. Thomas, Ballinger Press, Cambridge, MA, with John Rousseau.

387. "On N-Person Game Solutions and Convex Programs with Essentially Unconstrained Duals," Optimization, Vol. 19, No.1, 1988, pp. 1-14, with A Ben-Tal and B. Golany.

388. "Entropic Means," Journal of Mathematical Analysis and Applications, Vol. 139, No.2, 1989, pp. 537-551, with A Ben-Tal and M. Teboulle.

389. "The Chance-Constrained Critical Path for a Large Class of Distri­butions," Memoria del XII Congreso Academia Nacional de Ingeneria, A.C., September 21-23,1988, pp. 280-283, Guanajuato, Mexico, with L. Gong.

390. "Constrained Game Formulations and Interpretations for Data Envelopment Analysis," European Journal of Operational Research, Vol. 40, No.3, June 1989, pp. 299-308, with RD. Banker, R. Clarke, and W.W. Cooper.

APPENDIX 577

391. "A Dynamic Goal-Programming Model for Planning Food Self­Sufficiency in the Middle East," Applied Mathematical Modelling, Vol. 13, February 1989, pp. 86-93, with S. Duffuaa and A. AI­Saffar.

392. "A Non-Linear Congestion Network Model for Planning Internal Movement in the Hajj," European Journal of Operations Research, Vol. 40, No.3, 1988, pp. 292-298, with S. Duffuaa and A. Yafi.

393. "Stability of Efficiency Evaluation in DEA," Zeitschrift fur Opera­tions Research, Vol. 33, No.3, 1989, pp. 167-179, with S. Zlobec.

394. "The Role of Duality in Optimization Problems Involving Entropy Functionals with Application to Information Theory," Journal of Optimization Theory and Applications, Vol. 58, No.2, 1988, pp. 209-223, with A. Ben-Tal and M. Teboulle.

395. "Cone Ratio Data Envelopment Analysis and Multi-Objective Programming," International Journal of Systems Science, Vol. 20, No. 7,1989, pp. 1099-1118, with W.W. Cooper, Z. Huang, and Q. Wei.

396. "Using DEA to Evaluate Efficiency in the Economic Performance of Chinese Cities," Journal ofSocio-Economic Planning Sciences, 1990, Vol. 23, No.6, pp. 325-344, with W.W. Cooper and Shanling Li.

397. "Toward Management Science," Proceedings, Twenty-fifth Anniver­sary of the Chinese University of Hong Kong, August 1988.

398. "Data Envelopment Analysis and Axiomatic Notions of Efficiency and Reference Sets," Arabian Journal of Science and Technology, special issue forthcoming 1990, with W.W. Cooper, J. Rousseau and J. Semple.

399. "A Note on the Efficiency Characterizations Obtained in Different DEA Models," Socio-Economic Planning Sciences, 1988, Vol. 22, No.6, pp. 253-257, with Taesik Ahn and W.W. Cooper.

400. "A Guided Tour of a Family of Studies on the AT&T Breakup," Management Science, Vol. 00, No. 0, pp. 00-00, with W.W. Cooper and T. Sueyoshi.

401. "Fundamental Theorems of Nondominated Solutions Associated with Cones in Normed Linear Spaces," Journal of Mathematical Analysis and Applications, July 15, 1990, Vol. 150, No.1, pp. 54-78, with W.W. Cooper, Q.L. Wei, and Z.M. Huang.

402. "Optimal Hiring Decisions for Entry-Level Auditors in a CPA Firm: A Computerized Model for Improving Hiring Practices,' Advances in Accounting, 1990, Vol. 8, pp. 247-270, with J. Deitrick, W.W. Cooper, W.H. Moody and H. Shin.

403. "Cone-Extremal Solutions of Multi-Payoff Games with Cross­Constrained Strategy Sets: I" and "Cone Extremal Solutions to Multi-

578 APPENDIX

Payoff Cross-Constrained Games: II," Optimization, 1990, Vol. 21, No.1, pp. 51-69, with Z. Huang, J. Rousseau and Q. Wei.

404. "A Further Generalized Kettele Algorithm with Multiple Constraints," Journal of Information and Optimization Sciences, 1990, Vol. 11, No.3, pp., with D. Zhang.

405. 'Extended Pincus Theorems and Convergence of Simulated An­nealing," International Journal of Systems Science, 1989, Vol. 20, No.8, pp. 1521-1533, with M. Wolfe.

406. "An Approach to Testing for Organizational Slack via Banker's Game Theoretic DEA Formulations," Research in Governmental and Non­Profit Accounting (RIGNA), 1989, special issue on DEA, James L. Chan and James M. Patton (eds.), JAI Press, Vol. 5, pp. 211-229 with W.W. Cooper and R. Clarke.

407. "Comparisons of DEA and Existing Ratio and Regression Systems for Effecting Efficiency Evaluations of Regulated Electric Coopera­tives in Texas," Research in Governmental and Non-Profit Account­ing (RIGNA), 1989, James L. Chan and James M. Patton (eds.), JAI Press, Vol. 5, pp. 187-210 with W.W. Cooper, D. Divine, T. Ruefti and Dennis Thomas.

408. "Almost Sure Critical Paths," Annals of Operations Research, 1989, Vol. 20, pp. 97-110, with L. Gong and L. Sun.

409. "Foundations of Data Envelopment Analysis for Pareto-Koopmans Efficient Empirical Production Functions," New Approaches to Modelling, Specification Selection and Econometric Inference, edited by William A. Barnett and A. Ronald Gallant, Cambridge University Press, forthcoming 1990, with W.W. Cooper, B. Golany, L. Seiford and J. Stutz.

410. "An Introduction to DEA with Some of its Models and Their Uses," Research in Governmental and Non-Profit Accounting (RIGNA), 1989, James L. Chan and James M. Patton (eds.), JAI Press, Vol. 5, pp. 125-163 with R. Banker, W.W. Cooper, J. Swarts and D. Thomas.

411. "DEA & Ratio Efficiency Analyses for Public Institutions of Higher Learning in Texas," Research in Governmental and Non-Profit Ac­counting (RIGNA), 1989, James L. Chan and James M. Patton (eds.), JAI Press, Vol. 5, pp. 165-185 with T. Ahn, V. Arnold and W.W. Cooper.

412. "Sensitivity Analysis of the Additive Model in Data Envelopment Analysis," European Journal of Operational Research, forthcoming 1989, with L. Neralic.

413. "A Constrained Median Statistical Routing Method and the Pecos River Case," Applied Mathematical Modelling, forthcoming 1990, with R. Dickinson, S. Duffuaa and J. Heaney.

APPENDIX 579

414. "State Space and Network Analysis Integrating Logistics (NAIL) for Aircraft Missions," Arabian Journal of Science and Technology, forthcoming 1990, with W.W. Cooper, M. Wolfe, J. Semple, R. Brickman and B. Golany.

415. "Sensitivity Analysis in Data Envelopment Analysis 1," Glasnik Matematicki, 1989, Vol. 24, No. 44, pp. 211-226, with L. Neralic.

416. "Data Envelopment Analysis," Proceedings, IFORS XII Conference, Athens, Greece, June 1990, with W.W. Cooper.

417. "Information Theoretic Approach to Unimodal Density Estimation," IEEE Transactions on Information Theory, June 1990.

418. "Information Theoretic Approach to Geometric Programming," 1990, Mathematics of Operations Research.

419. "Polyhedral Cone-Ratio DEA Models with an Illustrative Applica­tion to Large Commercial Banks,' Journal of Econometrics, 1990, Vol. 46, pp. ,with W.W. Cooper, Z.M. Huang, and D.B. Sun.

420. "Sensitivity Analysis in Data Envelopment Analysis 2," Glasnik Matematicki, 1989, Vol. 24(44), No. 2/3, pp. 449-463, with L. Neralic.

421. "Semi-infinite Determinizations and Relaxations of Joint Chance Constraints with Zero Order Stochastic Decision Rules," forthcom­ing in International Journal of Systems Science, with Y.c. Chang and J. Semple.

422. "Origins and Research in Data Envelopment Analysis," The Arabian Journal for Science and Engineering, October 1990, Vol. 15, No. 4B, pp., with Z. Huang, J. Semple, T. Song, and D. Thomas.

423. "Efficiency Evaluations in Perturbed Data Envelopment Analysis," Proceedings, Parametric Optimization and Related Topics II, (1989), Eisenach, Germany, with W.W. Cooper, M. Sears, and S. Zlobec.

424. "Relations Between Half-space and Finitely Generated Cones in Polyhedral DEA Models," International Journal of Systems Science, 1991, Vol. 22, No. 11, pp. 2057-77, with D.B. Sun and Z. Huang, and W.W. Cooper.

425. "A Structure for Classifying and Characterizing Efficiencies and Inefficiencies in Data Envelopment Analysis," Journal of Produc­tivity Analysis, 1991, Vol. 2, Issue 3, with W.W. Cooper and R. Thrall.

426. "Practical Error Bounds for a Class of Quadratic Programming Problems, Informatica, forthcoming 1991, with J. Semple.

427. "A Chance-Constrained Programming Approach to Empirical Ana­lyses of Mutual Fund Investment Strategies," Decision Sciences, forthcoming 1991, with P. Brockett, W.W. Cooper, K. Kwon and T. Ruefti.

428. "Vector Extremal Solutions in Cross-Constrained Games of Regula-

580 APPENDIX

tory Policy Analysis and Synthesis," Journal of Economic Behavior and Organization, 1991, Vol., No., with R. Armstrong, Z.M. Huang and J. Rousseau.

429. "Forecasting and Allocation of U.S. Army Recruiting Resources Across Downsizing of the Army," Proceedings, MORS Symposium, West Point, New York, June 1991, with U. Pitaktong, J. Semple and L. Zhou.

430. "Sensitivity of Efficiency Classifications in the Additive Model of Data Envelopment Analysis," International Journal of Systems Sci­ence, 199, Vol., No., pp., with S. Haag, P. Jaska, and J. Semple.