运筹学论文(11)

理学院信息与计算科学运筹学课程设计

x11 x12 x13 x14 35, x x x x 50,

222324 21

x31 x32 x33 x34 40,

x11 x21 x31 45,s.t

x x x 20,2232 12

x13 x23 x33 30,

x14 x24 x34 30,

x 0,i 1,2,3,j 1,2,3,4. ij

将上述模型转化成LINGO代码，如下所示:

MODEL: SETS:

PLANTS/P1,P2,P3/:CAP; CITIES/C,C2,C3,C4/:DEM;

LINKS(PLANTS,CITIES):COST,SHIP; ENDSETS

MIN=@SUM(LINKS:COST*SHIP);

@FOR(CITIES(J):@SUM(PLANTS(I):SHIP(I,J))>DEM(J)); @FOR(PLANTS(I):@SUM(CITIES(J):SHIP(I,J))<CAP(I));

DATA:

CAP=35,50,40; DEM=45,20,30,30;

COST=8,6,10,9,9,12,13,7,14,9,16,5; ENDDATA END

输出结果：

Global optimal solution found.

Objective value: 1020.000

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