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Mathematical model transportation problem
Model:

! 6. Transportation problems of departure and destination. Transportation problems at the receiving point;

Set:

Warehouse/wh1... wh6/:capacity;

Supplier/v1... V8/:demand;

Links (warehouse, supplier): cost, volume;

End set

! Objective function;

Min=@sum (link: cost * volume);

! Demand constraint;

@for(vendors(J):

@sum (warehouse (i):

Quantity (i, J))= demand (j));

! Output constraints;

@for (warehouse (I): @sum (supplier (j): volume (i, j)) < = capacity (I)););

! Here is the data;

Data:

Capacity = 60 555143 4152;

Demand = 35 37 22 32 4132 43 38;

cost = 6 2 6 7 4 2 9 5 4 9 5 3 8 8 2 5 2 1 9 7 4 3 7 6 7 3 9 2 7 1 2 3 9 5 7 2 6 5 5 5 2 8 1 4 3;

End data

end