A Reduced-Cost Iterated Local Search Heuristic for the Fixed-Charge Transportation Problem

• 成果类型: Article
• 署名作者: Buson, Erika; Roberti, Roberto; Toth, Paolo
• 署名单位: University of Bologna
• 刊物名称: OPERATIONS RESEARCH
• ISSN/ISSBN: 0030-364X
• DOI: 10.1287/opre.2014.1288
• 发表日期: 2014
• 页码: 1095-1106
• 关键词: algorithm; REFORMULATION; DESIGN; formulation; relaxation; allocation; penalties; location; facets

摘要

The fixed-charge transportation problem (FCTP) is a generalization of the transportation problem where an additional fixed cost is paid for sending a flow from an origin to a destination. We propose an iterated local search heuristic based on the utilization of reduced costs for guiding the restart phase. The reduced costs are obtained by applying a lower bounding procedure that computes a sequence of nondecreasing lower bounds by solving a three-index mathematical formulation of the problem strengthened with valid inequalities. The proposed method was tested on two sets of benchmark instances from the literature. The first set was used to evaluate the state-of-the-art heuristics for the problem; the proposed heuristic was able to provide new best-knownupper bounds on all 124 open instances. On the second set of instances, which was recently introduced for testing the currently best exact method for the problem, the new heuristic was able to provide provably good upper bounds within short computing times.