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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 6, Pages 1037–1054 (Mi zvmmf4704)  
This article is cited in 25 scientific papers (total in 25 papers)

Competitive facility location models

A. V. Kononov, Yu. A. Kochetov, A. V. Plyasunov

Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
Full-text PDF (2359 kB) Citations (25)
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Abstract: Two classes of competitive facility location models are considered, in which several persons (players) sequentially or simultaneously open facilities for serving clients. The first class consists of discrete two-level programming models. The second class consists of game models with several independent players pursuing selfish goals. For the first class, its relationship with pseudo-Boolean functions is established and a novel method for constructing a family of upper and lower bounds on the optimum is proposed. For the second class, the tight PLS-completeness of the problem of finding Nash equilibriums is proved.
Key words: location problems, local optima, Nash equilibriums, PLS complete problems.
Received: 29.02.2008
Revised: 11.08.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 6, Pages 994–1009
DOI: https://doi.org/10.1134/S0965542509060086
Bibliographic databases:
Document Type: Article
UDC: 519.86:519.658
Language: Russian
Citation: A. V. Kononov, Yu. A. Kochetov, A. V. Plyasunov, “Competitive facility location models”, Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009), 1037–1054; Comput. Math. Math. Phys., 49:6 (2009), 994–1009
Citation in format AMSBIB
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:55
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