The traveling salesman problem on the WWW

13
Finite Mathematics, Feodor F. Dragan, Kent State University 1

description

…. 49 cities. 120 cities. Dantzig, Fulkerson, and Johnson (1954). Groetschel (1977). Padberg and Rinaldi (1987) 532 AT&T switch locations. Groetschel and Holland (1987) tour of 666 interesting places. - PowerPoint PPT Presentation

Transcript of The traveling salesman problem on the WWW

Page 1: The traveling salesman problem on the WWW

Finite Mathematics, Feodor F. Dragan, Kent State University 1

Page 2: The traveling salesman problem on the WWW

Finite Mathematics, Feodor F. Dragan, Kent State University 2

Page 3: The traveling salesman problem on the WWW

Finite Mathematics, Feodor F. Dragan, Kent State University 3

Page 4: The traveling salesman problem on the WWW

Finite Mathematics, Feodor F. Dragan, Kent State University 4

Page 5: The traveling salesman problem on the WWW

Finite Mathematics, Feodor F. Dragan, Kent State University 5

Page 6: The traveling salesman problem on the WWW

Finite Mathematics, Feodor F. Dragan, Kent State University 6

The traveling salesman problem on the WWW• http://www.math.princeton.edu/tsp/index.html• http://www.cs.rutgers.edu/~chvatal/tsp.html

49 cities• Dantzig, Fulkerson, and Johnson (1954) • Groetschel (1977).

120 cities

• Groetschel and Holland (1987)

tour of 666 interesting places. Proctor and Gamble ran a contest in 1962. The contest required solving a TSP on a specified 33 cities. There was a tie between many people who found the optimum.

• Padberg and Rinaldi (1987) tour through a layout of 2,392 that was obtained from Tektronics Incorporated.

• Padberg and Rinaldi (1987)

532 AT&T switch locations.

• Applegate, Bixby, Chvátal, and Cook (1994) tour for a 7,397-city TSP that arose in a programmable logic array application at AT&T Bell Laboratories.

Page 7: The traveling salesman problem on the WWW

Finite Mathematics, Feodor F. Dragan, Kent State University 7

• Applegate, Bixby, Chvátal, and Cook (1998) found the optimal tour of the 13,509 cities in the USA with populations greater than 500.

• Applegate, Bixby, Chvátal, and Cook (2001) found the optimal tour of 15,112 cities in Germany

Page 8: The traveling salesman problem on the WWW

Finite Mathematics, Feodor F. Dragan, Kent State University 8

Page 9: The traveling salesman problem on the WWW

Finite Mathematics, Feodor F. Dragan, Kent State University 9

Page 10: The traveling salesman problem on the WWW

Finite Mathematics, Feodor F. Dragan, Kent State University 10

Page 11: The traveling salesman problem on the WWW

Finite Mathematics, Feodor F. Dragan, Kent State University 11

Page 12: The traveling salesman problem on the WWW

Finite Mathematics, Feodor F. Dragan, Kent State University 12

Page 13: The traveling salesman problem on the WWW

Finite Mathematics, Feodor F. Dragan, Kent State University 13