文摘
Suppose there are a set of suppliers i and a set of consumers j with demands b j , and the amount of products that can be shipped from i to j is at most c ij . The amount of products that a supplier i can produce is an integer multiple of its capacity κ i , and every production of κ i products incurs the cost of w i . The capacitated supply-demand (CSD) problem is to minimize the production cost of ∑ i w i x i such that all the demands (or the total demand requirement specified separately) at consumers are satisfied by shipping products from the suppliers to them.