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Avtomatika i Telemekhanika, 2014, Issue 7, Pages 75–86 (Mi at12410)  
This article is cited in 2 scientific papers (total in 2 papers)

Topical issue

Solving a maximin location problem on the plane with given accuracy

G. G. Zabudskii, A. A. Koval'

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Omsk, Russia
Full-text PDF (541 kB) Citations (2)
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Abstract: We consider the optimal placement problem in a bounded region on a plane with fixed objects. We specify minimal admissible distances between placed and fixed objects. The optimization criterion is to maximize the minimal weighted distances from placed objects to fixed ones. We propose a quasipolynomial combinatorial algorithm to solve this problem with a given accuracy. We show the results of a computational experiment with the integer programming model and the IBM ILOG CPLEX suite.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 16.11.2013
English version:
Automation and Remote Control, 2014, Volume 75, Issue 7, Pages 1221–1230
DOI: https://doi.org/10.1134/S0005117914070042
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. G. Zabudskii, A. A. Koval', “Solving a maximin location problem on the plane with given accuracy”, Avtomat. i Telemekh., 2014, no. 7, 75–86; Autom. Remote Control, 75:7 (2014), 1221–1230
Citation in format AMSBIB
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\by G.~G.~Zabudskii, A.~A.~Koval'
\paper Solving a~maximin location problem on the plane with given accuracy
\jour Avtomat. i Telemekh.
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\issue 7
\pages 75--86
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\transl
\jour Autom. Remote Control
\yr 2014
\vol 75
\issue 7
\pages 1221--1230
\crossref{https://doi.org/10.1134/S0005117914070042}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904438231}
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  • https://www.mathnet.ru/eng/at/y2014/i7/p75
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :68
    References:44
    First page:20
     
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