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A stopping rule while searching for optimal solution of facility-location
Högskolan Dalarna, Akademin Industri och samhälle, Statistik.ORCID-id: 0000-0003-2317-9157
Högskolan Dalarna, Akademin Industri och samhälle, Statistik.ORCID-id: 0000-0003-2970-9622
2013 (engelsk)Rapport (Annet vitenskapelig)
Abstract [en]

Solutions to combinatorial optimization, such as p-median problems of locating facilities, frequently rely on heuristics to minimize the objective function. The minimum is sought iteratively and a criterion is needed to decide when the procedure (almost) attains it. However, pre-setting the number of iterations dominates in OR applications, which implies that the quality of the solution cannot be ascertained. A small branch of the literature suggests using statistical principles to estimate the minimum and use the estimate for either stopping or evaluating the quality of the solution. In this paper we use test-problems taken from Baesley's OR-library and apply Simulated Annealing on these p-median problems. We do this for the purpose of comparing suggested methods of minimum estimation and, eventually, provide a recommendation for practioners. An illustration ends the paper being a problem of locating some 70 distribution centers of the Swedish Post in a region.

sted, utgiver, år, opplag, sider
Borlänge: Högskolan Dalarna , 2013.
Serie
Working papers in transport, tourism, information technology and microdata analysis, ISSN 1650-5581 ; 2013:20
Emneord [en]
p-median problem, Simulated Annealing, discrete optimization, extreme value theory
HSV kategori
Forskningsprogram
Komplexa system - mikrodataanalys
Identifikatorer
URN: urn:nbn:se:du-12705OAI: oai:DiVA.org:du-12705DiVA, id: diva2:636409
Konferanse
26th European Conference on Operational Research
Forskningsfinansiär
Swedish Retail and Wholesale Development CouncilTilgjengelig fra: 2013-07-09 Laget: 2013-07-09 Sist oppdatert: 2015-05-07bibliografisk kontrollert

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