Improvements and comparison of heuristics for solving the uncapacitated multisource Weber problem
成果类型：
Article
署名作者：
Brimberg, J; Hansen, P; Mladenovic, N; Taillard, ED
署名单位：
University of Prince Edward Island; Universite de Montreal; Universite de Montreal; HEC Montreal; Universita della Svizzera Italiana
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.48.3.444.12431
发表日期：
2000
页码：
444-460
关键词：
摘要：
The multisource Weber problem is to locate simultaneously m facilities in the Euclidean plane to minimize the total transportation cost for satisfying the demand of n fixed users, each supplied from its closest facility. Many heuristics have been proposed for this problem, as well as a few exact algorithms. Heuristics are needed to solve quickly large problems and to provide good initial solutions for exact algorithms. We compare various heuristics, i.e., alternative location-allocation (Cooper 1964), projection (Bongartz et al. 1994), Tabu search (Brimberg and Mladenovic 1996a), p-Median plus Weber (Hansen ct al. 1996), Genetic search and several versions of Variable Neighbourhood search. Based on empirical tests that are reported, it is found that most traditional and some recent heuristics give poor results when the number of facilities to locate is large and that Variable Neighbourhood search gives consistently best results, on average, in moderate computing time.