Logistics distribution centers location problem and algorithm under fuzzy environment
Journal of Computational and Applied Mathematics
Computers and Operations Research
Computers and Operations Research
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TheUncapacitated Facility Location Problem with Client Matching (LCM) is an extension of theUncapacitated Facility Location Problem (UFLP), where two clients allocated to a facility can be matched. As in the UFLP, facilities can be opened at any ofm predefined locations with given fixed costs, andn clients have to be allocated to the open facilities. In classical location models, the allocation cost is the distance between a client and an open facility. In the LCM, the allocation cost is either the cost of a return trip between the facility and the client, or the length of a tour containing the facility and two clients. The similarities of the LCM with the classical UFLP and the matching problem are exploited to derive valid inequalities, optimality cuts, and polyhedral results. A greedy heuristic and a branch-and-cut algorithm are developed, and several separation procedures are described. Computational experiments confirm the efficiency of the proposed approach.