Question

建立如下问题的数学模型，并给出LINGO的求解程序（要求使用集合段的形式编程） 和解的结果；

Answer 1

运输问题。

model:
sets:
factory/1,2,3/:product;
warehouse/1,2,3,4,5/:demand;
transport(factory,warehouse):cost,amount;
endsets

data:
product=600,400,500;
demand=200,250,300,550,200;
cost=4,2,6,2,4
8,4,2,6,2
4,2,2,6,8;
enddata
@for(factory(i):@sum(warehouse(j):amount(i,j))<product(i));
@for(warehouse(j):@sum(factory(i):amount(i,j))=demand(j));
@for(transport(i,j):@gin(amount(i,j)));
min=@sum(transport(i,j):amount(i,j)*cost(i,j));
end