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Avtomatika i Telemekhanika, 2013, Issue 6, Pages 87–100 (Mi at5161)  

This article is cited in 17 scientific papers (total in 17 papers)

System Analysis and Operations Research

On segmenting logistical zones for servicing continuously developed consumers

A. L. Kazakov, A. A. Lempert, D. S. Bukharov

Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
References:
Abstract: We study the optimal placement problem for several logistical objects. A characteristic feature of this problem is the need for sequential segmentation into servicing zones and accounting for population distributed continuously across the entire region. We reduce this problem to a variational calculus problem in a special form. To study this problem, we develop numerical algorithms that are able to determine the optimal placement of a logistical object inside a given segment. The algorithms are based on constructing wavefronts for a light wave emitted from the boundary of the chosen region. The wave moves inside the region, which lets us account for all inhabitants in this region. In constructing the solution, we have accounted for the loss of smoothness in the wavefront, have developed a software implementation for the computational algorithms, and have conducted a numerical experiment for a number of model problems.
Presented by the member of Editorial Board: V. I. Gurman

Received: 15.11.2012
English version:
Automation and Remote Control, 2013, Volume 74, Issue 6, Pages 968–977
DOI: https://doi.org/10.1134/S0005117913060076
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. L. Kazakov, A. A. Lempert, D. S. Bukharov, “On segmenting logistical zones for servicing continuously developed consumers”, Avtomat. i Telemekh., 2013, no. 6, 87–100; Autom. Remote Control, 74:6 (2013), 968–977
Citation in format AMSBIB
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\by A.~L.~Kazakov, A.~A.~Lempert, D.~S.~Bukharov
\paper On segmenting logistical zones for servicing continuously developed consumers
\jour Avtomat. i Telemekh.
\yr 2013
\issue 6
\pages 87--100
\mathnet{http://mi.mathnet.ru/at5161}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3219982}
\transl
\jour Autom. Remote Control
\yr 2013
\vol 74
\issue 6
\pages 968--977
\crossref{https://doi.org/10.1134/S0005117913060076}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84879309904}
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  • https://www.mathnet.ru/eng/at5161
  • https://www.mathnet.ru/eng/at/y2013/i6/p87
  • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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