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Diskretnyi Analiz i Issledovanie Operatsii, 2015, Volume 22, Issue 3, Pages 36–54
DOI: https://doi.org/10.17377/daio.2015.22.480
(Mi da818)
 

This article is cited in 23 scientific papers (total in 23 papers)

Comparison of metaheuristics for the bilevel facility location and mill pricing problem

Yu. A. Kochetovab, A. A. Paninb, A. V. Plyasunovba

a Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
b Sobolev Institute of Mathematics, 4 Koptyug Ave., 630090 Novosibirsk, Russia
References:
Abstract: We consider the bilevel nonlinear facility location and pricing problem. We assume that facilities can charge different prices and the objective is to maximize the total revenue. It is known that the problem is NP-hard in the strong sense even for the given facility location. We show that it belongs to class Poly-APX. We present two hybrid algorithms based on local search: variable neighborhood descent and genetic local search. Being compared with previously known algorithms and CPLEX software, these algorithms show their competitiveness. Computational experiments were conducted on instances from the benchmark library “Discrete Location Problems”. Tab. 2, bibliogr. 30.
Keywords: bilevel problem, location, pricing, VND metaheuristic, genetic local search metaheuristics, two level metaheuristics.
Received: 14.03.2015
Revised: 06.04.2015
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 3, Pages 392–401
DOI: https://doi.org/10.1134/S1990478915030102
Bibliographic databases:
Document Type: Article
UDC: 519.87+519.854
Language: Russian
Citation: Yu. A. Kochetov, A. A. Panin, A. V. Plyasunov, “Comparison of metaheuristics for the bilevel facility location and mill pricing problem”, Diskretn. Anal. Issled. Oper., 22:3 (2015), 36–54; J. Appl. Industr. Math., 9:3 (2015), 392–401
Citation in format AMSBIB
\Bibitem{KocPanPly15}
\by Yu.~A.~Kochetov, A.~A.~Panin, A.~V.~Plyasunov
\paper Comparison of metaheuristics for the bilevel facility location and mill pricing problem
\jour Diskretn. Anal. Issled. Oper.
\yr 2015
\vol 22
\issue 3
\pages 36--54
\mathnet{http://mi.mathnet.ru/da818}
\crossref{https://doi.org/10.17377/daio.2015.22.480}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3443297}
\elib{https://elibrary.ru/item.asp?id=23859891}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 3
\pages 392--401
\crossref{https://doi.org/10.1134/S1990478915030102}
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  • https://www.mathnet.ru/eng/da/v22/i3/p36
  • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретный анализ и исследование операций
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