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运筹学之两个案例问题

铁路重载问题用QM解决如下:

(untitled)

Wt(d+) Prty(d+) Wt(d-) Prty(d-) X1 X2 X3 RHS Goal/Cnstrnt 1 0 0 1 1 1.6 0.74 0.37 = 82.2 Goal/Cnstrnt 2 1 2 0 0 15 12 10 = 1096 Goal/Cnstrnt 3 1 3 0 0 420 0 0 = 11000 Goal/Cnstrnt 4 1 4 0 0 4 2 1 = 200 Goal/Cnstrnt 5 1 5 0 0 0 345 168 = 16000

(untitled) Solution

Item

Decision variable analysis Value

X1 26.1905

X2 48.2397

X3 12.4267

Priority analysis Nonachievement

Priority 1 0

Priority 2 0

Priority 3 0

Priority 4 13.6679

Priority 5 2,730.37

Constraint Analysis RHS d+ (row i) d- (row i)

Goal/Cnstrnt 1 82.2 0 0

Goal/Cnstrnt 2 1,096.00 0 0

Goal/Cnstrnt 3 11,000.00 0 0

Goal/Cnstrnt 4 200 13.6679 0

Goal/Cnstrnt 5 16,000.00 2,730.37 0

用lingo解决铁路重载问题:

min=4*x11+9*x12+9*x13+8*x14+5*x21+9*x22+7*x23+4*x24;

x11+x12+x13+x14=600;

x21+x22+x23+x24=400;

x11+x21=200;

x12+x22=150;

x13+x23=350;

x14+x24=300;

No feasible solution found.

Infeasibilities: 0.1357143E-05