01.1 Mathematical Programming Models.pdf

8/10/2019 01.1 Mathematical Programming Models.pdf

1/13

!"#$%&' )

*#%"&+#,-#. /'01'#++2314

#3 05&'52&6!0+$#3203 7.28&7 09

!""#$%& ()*+%,)-.)# /0120),,$3245 60)%57 8)97 )3& ()23)3-

:;882703? )@AAB$'&$#'&8 C>D07E F&'3#380 G.25&2'#

*#'2# ;3%H32# !#''#52..#


2/13

:;!?@;A ;: B;(C

CD!(/>CB


3/13

/'08I-231 J287 K0>7

; -0+$#3> $'08I-&7 L287 %0>7M K0 $'08I-& %"& %0>7 %"&>3&&8 +#3$06&' #38 # '#6 +#%&'2#.M K"&> #'& -03728&'231%"& $'08I-,03 09 %"'&& %>$&7 09 %0>7? ;? N #38 ! #38 %"&&3123&&'231 8&$#'%+&3% $'0528&8 %"& 90..06231

2390'+#,034

K"&> "#5& 03.> OPPL1 09 '#6 +#%&'2#. $&' 8#> #38 # %0%#.09 )QP "0I'7 09 +#3$06&'M K"&> 6#3% %0 L306 6"#% %0$'08I-& 23 0'8&' %0 +#R2+2S& %"& %0%#. $'0T%M

(1&%# ! 6 E

()3"1F%0 G+1H0IJH3$*K A U V


4/13

/'08I-231 J287 K0>7 :'&70.I,03B

X%&$ ) Y Z&-27203 [#'2#C.&7

="#% 27 30% L3063 #38 3&&87 %0 C& 8&%&'+23&8:8&-28&8B #'& %"& 8#2.> $'08I-,03 \I#3,,&74

];Y 8#2.> $'08I-,03 \I#3,%> 09 $'08I-% ;^

]NY 8#2.> $'08I-,03 \I#3,%> 09 $'08I-% N^

]!Y 8#2.> $'08I-,03 \I#3,%> 09 $'08I-% !M

X%&$ O Y !037%'#23%7 !037%'#23% 03 %"& +#3$06&' :_` )QP "0I'7B^

!037%'#23% 03 %"& '#6 +#%&'2#. :_` OPP L1BMX%&$ U Y GCa&-,5& FI3-,03

*#R2+2S& %"& /'0T%M


5/13

!"#'1231 # N.#7% FI'3#-&

;3 2'03 90I38'> "#7 #3 0'8&' %0 $'08I-& )PPP $0I387 09 -#7,317 -03%#23231 #%.% PMWQ b +#31#3&7& #38 C&%6&&3 UMOQ b #38 QMQP b 72.2-03M ;7 %"&7&$#',-I.#' -#7,317 #'& # 7$&-2#. 0'8&'? %"&'& #'& 30 7I2%#C.& -#7,317 23 7%0-LM K"&-#7,317 7&.. 90' cPMWQ $&' $0I38M K"& 90I38'> "#7 %"'&& %>$&7 09 $21 2'03#5#2.#C.& 23 &77&3,#..> I3.2+2%&8 #+0I3%7? 62%" %"& 90..06231 $'0$&',&74

FI'%"&'? %"& $'08I-,03 $'0-&77 27 7I-" %"#% $I'& +#31#3&7& -#3 #.70 C& #88&8

82'&-%.> %0 %"& +&.%M d% -07%7 PMQ -&3%7 %0 +&.% 8063 # $0I38 09 $21 2'03MGI% 09 6"#% 23$I%7 7"0I.8 %"& 90I38'> $'08I-& %"& -#7,317 23 0'8&' %0+#R2+2S& $'0T%7e

30'%"&'36#..MC.017$0%M-0+

/$2 @013 ! /$2 @013 6 /$2 @013 E ()32)3%I%

B$#$.13 Wb )b P?Vb

()32)3%I% PMWQb PMQb PMWb )PPb

E1I* RPSJSTUQ #4 RPVJSTUQ #4 RSVJSTUQ #4 RWJ#4


6/13

!"#'1231 # N.#7% FI'3#-& :'&70.I,03B

X%&$ ) Y Z&-27203 [#'2#C.&7 ])Y \I#3,%> 09 $21 2'03 ; 23 %"& -#7,31 :)PfU .CB^

]OY \I#3,%> 09 $21 2'03 N 23 %"& -#7,31 :)PfU .CB^

]UY \I#3,%> 09 $21 2'03 ! 23 %"& -#7,31 :)PfU .CB^

]WY \I#3,%> 09 *#31#3&7& 23 %"& -#7,31 :.CBM

X%&$ O Y !037%'#23%7 *232+I+ b 09 +#31#3&7& :g` PMWQbB

*232+I+ b 09 72.2-03 :g` UMOQbB

*#R2+I+ b 09 72.2-03 :_` QMQPbB

K0%#. $'08I-,03 :` )PPP .CBM

X%&$ U Y GCa&-,5& FI3-,03

*#R2+2S& %"& /'0T% :'&5&3I& Y -07%B

Gh

*232+2S& %"& -07% :'#6 +#%&'2#.7 i -#7,31B


7/13

j!"#'1231 # N.#7% FI'3#-&k l/ *08&.

?)4#%)H X10,

!"#$%&' O


8/13

/0'm0.20 X&.&-,03; $0'm0.20 +#3#1&' 23 -"#'1& 09 # C#3L $0'm0.20 "#7 c)P +2..203 %0 235&7%M K"&7&-I'2,&7 #5#2.#C.& 90' $I'-"#7&? #7 6&.. #7 %"&2' '&7$&-,5& \I#.2%> '#,317? +#%I'2,&7?#38 >2&.87? #'& 7"063 23 %"& 90..06231 %#C.&4

K"& C#3L $.#-&7 %"& 90..06231 $0.2-> .2+2%#,037 03 %"& $0'm0.20 +#3#1&'n7 #-,0374

)M o05&'3+&3% #38 #1&3-> C0387 +I7% %0%#. #% .% cW +2..203M

OM K"& #5&'#1& \I#.2%> 09 %"& $0'm0.20 -#330% &R-&&8 )MW 03 %"& C#3Ln7 \I#.2%>7-#.&M:p0%& %"#% # .06 3I+C&' 03 %"27 7-#.& +% # "21" C038MB

UM

K"& #5&'#1& >'7 %0 +#%I'2%> 09 %"& $0'm0.20 +I7% 30% &R-&&8 Q >'7M

;77I+231 %"#% %"& 0Ca&-,5& 09 %"& $0'm0.20 +#3#1&' 27 %0 +#R2+2S& #q&'


9/13

/0'm0.20 X&.&-,03 l/ *08&.


10/13

/0'm0.20 X&.&-,03 :O38$#'%B

p06 -03728&'231 %"& #882,03#. $0772C2.2%> 09 C&231 #C.&

%0 C0''06 I$ %0 c) +2..203 #% QMQ b C&90'& %#R&7M

r77&3,#..>? 6& -#3 23-'& 0I' -#7" 7I$$.> #C05& %&3

+2..203 C> C0''06231 #% #3 #q&'


11/13

/'08I-,03 #38 ;77&+C.>

; 82527203 09 # $.#7,-7 -0+$#3> +#3I9#-%I'&7 %"'&& C#72- $'08I-%74 7$0'L7?$#-L&%7? #38 7-"00. $#-L7M

; 7$0'L 27 # $.#7,- I%&372. 6"2-" $I'$0'%7 %0 C& # -0+C23#,03 09 7$003? 90'L?#38 L329&M K"& $#-L&%7 -03727% 09 # 7$0'L? # 3#$L23? #38 # 7%'#6 6'#$$&8 23-&..0$"#3&M K"& 7-"00. $#-L7 #'& C0R&7 09 )PP $#-L&%7 62%" #3 #882,03#. )P.007& 7$0'L7 23-.I8&8M

/'08I-,03 09 )PPP 7$0'L7 '&\I2'&7 PMs 7%#38#'8 "0I'7 09 +0.8231 +#-"23&-#$#-2%>? PMO 7%#38#'8 "0I'7 09 7I$&'5270'> ,+&? #38 cOMQP 2382'&-% -07%7M/'08I-,03 09 )PPP $#-L&%7? 23-.I8231 ) 7$0'L? ) 3#$L23? #38 ) 7%'#6? '&\I2'&7)MQ 7%#38#'8 "0I'7 09 %"& $#-L#1231M

d9 %"&'& #'& OPP "0I'7 09 $'08I-,03 ,+& 23 %"& -0+231 +03%"? 6"#%$'08I-%7? #38 "06 +I-" 09 -"? 7"0I.8 C& +#3I9#-%I'&8 %0 >2&.8 %"& +07%$'0T%e


12/13

/'08I-,03 #38 ;77&+C.> l/ *08&. )


13/13

/'08I-,03 #38 ;77&+C.> l/ *08&. O

p0,-& %"#%4 0'4

01.1 Mathematical Programming Models.pdf

Documents

Transcript of 01.1 Mathematical Programming Models.pdf