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Avtomatika i Telemekhanika, 2012, Issue 5, Pages 71–83 (Mi at3803)  
This article is cited in 4 scientific papers (total in 4 papers)

System Analysis and Operations Research

Search region contraction of the Weber problem solution on the plane with rectangular forbidden zones

G. G. Zabudskiia, I. V. Amzinb

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Omsk, Russia
b Dostoevskii Omsk State University, Omsk, Russia
Full-text PDF (311 kB) Citations (4)
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Abstract: There are a lot of fixed objects and rectangular forbidden zones on the plane. It is necessary to arrange on this plane, outside of forbidden zones, objects connected with fixed objects and among themselves. The rectangular metric is used for the measurement of distances. The optimality criterion in the problem is the minimality of the total cost of connections among all objects. The problem property is found that makes it possible to reduce the considered admissible region in the search for the optimal solution. The results of the computational experiment for analysis of the application effectiveness of the stated property are presented.
Presented by the member of Editorial Board: P. Yu. Chebotarev

Received: 01.02.2010
English version:
Automation and Remote Control, 2012, Volume 73, Issue 5, Pages 821–830
DOI: https://doi.org/10.1134/S0005117912050062
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. G. Zabudskii, I. V. Amzin, “Search region contraction of the Weber problem solution on the plane with rectangular forbidden zones”, Avtomat. i Telemekh., 2012, no. 5, 71–83; Autom. Remote Control, 73:5 (2012), 821–830
Citation in format AMSBIB
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\paper Search region contraction of the Weber problem solution on the plane with rectangular forbidden zones
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\pages 71--83
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  • https://www.mathnet.ru/eng/at/y2012/i5/p71
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:48
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