Neighbourhood search heuristics for the uncapacitated facility location problem

Abstract

The uncapacitated facility location problem is one of choosing sites among a set of candidates in which facilities can be located, so that the demands of a given set of clients are satisfied at minimum costs. Applications of neighborhood search methods to this problem have not been reported in the literature. In this paper we first describe and compare several neighborhood structures used by local search to solve this problem. We then describe neighborhood search heuristics based on tabu search and complete local search with memory to solve large instances of the uncapacitated facility location problem. Our computational experiments show that on medium sized problem instances, both these heuristics return solutions with costs within 0.075% of the optimal with execution times that are often several orders of magnitude less than those required by exact algorithms. On large sized instances, the heuristics generate low cost solutions quite fast, and terminate with solutions whose costs are within 0.0345% of each other.