数学建模入门讲座__无动画.pdf

I K 8 JJII JI 11 57 w 4 fff EEE III I K 8 JJII JI 12 57 w 4 888 1 fff EEE mmm 1 2 mmm555 5 2 1 5 2 2 mL 7 3 mmmOOO 8 3 1A 8 3 2 D S 13 3 3 G 15 3 4 G 17 3 5 GMatlab 18 4mmmcccOOO 777 21 5 YYY SSS OOO23 5 1 z 55y 24 5 1 1 1 K 24 5 1 2 2 K 29 5 1 3 3 a K 34 5 2 44 5 2 1 4 f K 44 I K 8 JJII JI 13 57 w 4 6 mmm 47 6 1 48 6 2 K 52 7 DDD 57 I K 8 JJII JI 11 57 w 4 1 fff EEE mmm 333 ccc 1 mmm FFF FFF 2 ddd KKKIII zzz fffeee 3 uuuxxx eee 4 LLL333 eee111 III333eee KKK 555 mmm uuu zzz KKK zzz888III EEE ooo XXXJJJ 1ZZZ KKK zzzZZZ 5 ggg I K 8 JJII JI 124 57 w 4 ddd ZZZ 555 YYY0 03 30 0 22 25 0 381030 SSS0 5020 0 35520 KKK 555 2 CCC x1 zzzZZZ YYY ZZZ x2 zzzZZZ ZZZ x3 zzzZZZ ZZZ x4 zzzZZZ SSS ZZZ I K 8 JJII JI 125 57 w 4 x5 zzzZZZ ZZZ F zzzZZZ x x x1 x2 x3 x4 x5 T 3 bbb ddd eee5 YYY SSS www zzzZZZ F 0 03x1 0 22x2 0 38x3 0 50 x4 0 35x5 ooo III zzzZZZ F TTT zzz KKK 555 I K 8 JJII JI 126 57 w 4 ddd KKK XXXeee 555555yyy min F x 0 03x1 0 22x2 0 38x3 0 5x4 0 35x5 s t 0 x1 0 3 0 x2 0 25 0 1 x3 0 3 0 2 x4 1 0 05 x5 0 2 x1 x2 x3 x4 x5 1 4 MatlabJJJ 555555yyy linprog CCC 1 XXXeee f 0 03 0 22 0 38 0 5 0 35 I K 8 JJII JI 127 57 w 4 lb 0 0 0 1 0 2 0 05 ub 0 3 0 25 0 31 0 2 A b Aeq 1 1 1 1 1 beq 1 optx optvalue fl ag linprog f A b Aeq beq lb ub 111 JJJ Optimization terminated successfully optx 0 3000 0 2500 0 1000 0 2000 0 1500 optvalue 0 2545 I K 8 JJII JI 128 57 w 4 fl ag 1 ddd 111 JJJ 1kg 0 2545 ddd YYY SSS OOO 0 3 0 25 0 1 0 2 0 15 kg 5 1 2 2 KKK KKK kkk10 uuu 999 OOO 2 5 5 12 XXXeee 888III 1 zzzccc uuu9000 I K 8 JJII JI 129 57 w 4 2 uuu20000 3 LLL OOO 2 4 OOO uuu10000 30000 mmm 1 KKK zzz KKK kkk nnn ddd zzz KKK LLL 2 CCC x y z OOOLLL OOO u x y z T 3 zzz KKK bbb 10 uuu I K 8 JJII JI 130 57 w 4 bbb kkk OOO nnn 4 555555yyy XXXeee max F u 0 025x 0 05y 0 12z s t x y z 10 F 0 9 z 2 z 2 x y 1 x 3 0 x y z 10 I K 8 JJII JI 131 57 w 4 5 UUU XXXeee max F u 0 025x 0 05y 0 12z s t 0 025x 0 05y 0 12z 0 9 2x 2y z 0 x y z 10 1 x 3 0 y 10 2 z 10 BBB NNN linprog f 0 025 0 05 0 12 A 0 025 0 05 0 12 I K 8 JJII JI 132 57 w 4 2 2 1 b 0 9 0 Aeq 1 1 1 beq 10 lb 1 0 2 ub 3 10 10 optx optvalue fl ag linprog f A b Aeq beq lb ub 111 JJJ Optimization terminated successfully optx 1 0000 2 3333 6 6667 optvalue 0 9417 I K 8 JJII JI 133 57 w 4 fl ag 1 ddd SSS 111 JJJ OOO 0 9417 ddd ZZZ YYY OOO OOO 1 2 3333 6 6667 5 1 3 3 aaa KKK 500fff OOO 98fff 78fff 98fff 1000 78fff 2000 NNN UUU XXXJJJ qqqTTTNNN KKK I K 8 JJII JI 134 57 w 4 1 kkk 2 nnn 3 KKK JJJ 999 AAA 888 111 vvv III 4 zzz KKK 888III UUU Matlab SSS len 500 n1 500 78 n2 500 98 i 1 mat fork1 0 n1 I K 8 JJII JI 135 57 w 4 k2 fi x len k1 78 98 remain len k1 78 k2 98 ifremain 78 continue end mat mat k1 k2 remain end mat 111 JJJ mat 0 5 10 1 4 30 2 3 50 I K 8 JJII JI 136 57 w 4 3 2 70 5 1 12 6 0 32 555 kkk2 78cm98cm 10510 x1 21430 x2 32350 x3 43270 x4 55112x5 66032x6 III 2000 1000 I K 8 JJII JI 137 57 w 4 1 888III zzz min f x y x1 x2 x3 x4 x5 x6 s t x2 2x3 3x4 5x5 6x6 2000 5x1 4x2 3x3 2x4 x5 1000 xi 0 i 1 2 7 Lingo SSS MODEL x2 2 x3 3 x4 5 x5 6 x6 2000 5 x1 4 x2 3 x3 2 x4 x5 1000 f1 x1 x2 x3 x4 x5 x6 x7 ooo f2 10 x1 30 x2 50 x3 70 x4 12 x5 32 x6 ooo min f1 ooo min f2 ooo I K 8 JJII JI 138 57 w 4 x1 0 x2 0 x3 0 x4 0 x5 0 x6 0 GIN x1 GIN x2 GIN x3 GIN x4 GIN x5 GIN x6 END 111 JJJ Global optimal solution found at iteration 4 Objective value 520 0000 Variable Value Reduced Cost X2 0 000000 1 000000 X3 0 000000 1 000000 X4 0 000000 1 000000 X5 400 0000 1 000000 I K 8 JJII JI 139 57 w 4 X6 0 000000 1 000000 X1 120 0000 1 000000 F1 520 0000 0 000000 X7 0 000000 1 000000 F2 6000 000 0 000000 I K 8 JJII JI 140 57 w 4 2 888III zzz min f x y 10 x1 30 x2 50 x3 70 x4 12x5 32x6 s t x2 2x3 3x4 5x5 6x6 2000 5x1 4x2 3x3 2x4 x5 1000 xi 0 i 1 2 7 Lingo SSS MODEL x2 2 x3 3 x4 5 x5 6 x6 2000 5 x1 4 x2 3 x3 2 x4 x5 1000 f1 x1 x2 x3 x4 x5 x6 x7 ooo f2 10 x1 30 x2 50 x3 70 x4 12 x5 32 x6 ooo min f1 ooo min f2 ooo I K 8 JJII JI 141 57 w 4 x1 0 x2 0 x3 0 x4 0 x5 0 x6 0 GIN x1 GIN x2 GIN x3 GIN x4 GIN x5 GIN x6 END 111 JJJ Global optimal solution found at iteration 0 Objective value 6000 000 Variable Value Reduced Cost X2 0 000000 30 00000 X3 0 000000 50 00000 X4 0 000000 70 00000 X5 400 0000 12 00000 I K 8 JJII JI 142 57 w 4 X6 0 000000 32 00000 X1 120 0000 10 00000 F1 520 0000 0 000000 X7 0 000000 0 000000 F2 6000 000 0 000000 JJJ YYY I K 8 JJII JI 143 57 w 4 5 2 5 2 1 4 fff KKK iii fff 555 LLL80 mg ml yyykkk 333 uuu 3 iii 56 mg ml qqqLLL 40 mg ml uuu iii 555 x t t KKK nnn mmmmmm t t t SSS UUUCCC x x t t x t t x t kx t t I K 8 JJII JI 144 57 w 4 k 0 cccKKK LLL mmm 444 t t 0 KKK dx dt kx vvvx 3 56 x 5 40 999x 0 x0 NNN x t ce kt x 0 x0 x t x0e kt KKKx0 x 0 qqqdddx 3 56 x 5 40 x 0 x0 x0e 3k 56 x0e 5k 40 I K 8 JJII JI 145 57 w 4 e2k 56 40 k 0 17 k 0 17 x0e 3 0 17 56 x0 56 e3 0 17 93 25 80 uuu iii 555 I K 8 JJII JI 146 57 w 4 6 mmm EEE EEE 1 1 2 KKK 2 3 KKK 3nnn 4 bbb 4 MMM SSSNNN 5 5 6 JJJ uuu 6 7 ddd 8 UUU 9NNN 10 zzz I K 8 JJII JI 147 57 w 4 6 1 NNNyyynnn KKK JJJ uuu kkk KKK KKK 333 KKK uuu kkk KKK JJJ UUU kkk KKK YYY LLL 111 nnn mmm mmm 333 mmm XXX 555 ddd III III SSS 111 111 uuuyyy KKK YYY vvv 333uuu I K 8 JJII JI 148 57 w 4 mmmLLL OOO xxx mmmSSS XXX 111 KKK 888III zzz III AAA kkk ggg XXX ccc 111 UUU YYY YYY FCFS mmmddd12 9UUU 3 3UUU 333 mmmddd22 0UUU 12 3UUU 444 mmm III SSSlllXXX cccGGG 444 uuu 111 NNN TTT 444 333 SSSwww FFF SSS eee nnn III AAA kkk I K 8 JJII JI 149 57 w 4 TTT YYYeee XXX ccc 111 mmm 14 2UUU 333 mmm 23 2UUU LLL aaa cccOOO mmm xxxSSS mmmSSS 333 nnn UUU UUU III 222ggg UUU mmm 5 5UUU 333 mmm 14 5UUU ddd TTT AAATTT SSS mmm 111NNN uuuBBBuuu nnn 888 KKK TTT aaa yyy KKK aaa FCFS555KKK 333 mmm 888III 333 aaa FFF NNNCCC KKK 10KKK xxxSSS 15KKK VVV xxxSSS 20KKK 111 11KKK 23KKK TTT YYY FCFS 333 mmm I K 8 JJII JI 150 57 w 4 ddd20 5UUU 18 4UUU iii KKK kkk XXX 555 1 111 SSSNNN oooNNN QQQ 2 YYY NNN I K 8 JJII JI 151 57 w 4 6 2 KKK 555 LLLeee KKK SSSNNN ggg uuu kkk KKK KKK KKK SSS KKK KKK 333 uuu KKK SSS XXX OOO KKKSSS XXX 111555KKK nnn ddd IIINNNXXX 111uuu ddd KKKSSS lll 555 ddd IIINNNXXX lll uuu I K 8 JJII JI 152 57 w 4 mmm mmm lll uuu zzzUUU 333XXX SSS 333 mmm XXX 555 YYY555 KKK nnn ddd IIINNNXXX 333XXX 333 mmmddd mmm mmm mmm OOONNN uuuyyy aaa mmm 12 13UUU mmm 333444 1UUU 111 111 3332 3UUU UUU xxxSSS mmm 1 5UUU xxxSSS VVV mmm 1 7UUU dddKKK xxxSSS cccOOO mmm III1 2UUU I K 8 JJII JI 153 57 w 4 OOOuuuyyy NNN 1 xxxSSS ccc mmmdddTTT 333 AAA XXXLLL1