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Avtomatika i Telemekhanika, 2012, Issue 1, Pages 148–158 (Mi at3600)  
This article is cited in 25 scientific papers (total in 25 papers)

System Analysis and Operations Research

Iterative functional modification method for solving a transportation problem

A. P. Tizik, V. I. Tsurkov

Dorodnitsyn Computing Centre, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (158 kB) Citations (25)
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Abstract: We propose a new method for solving transportation problems based on decomposing the original problem into a number of two-dimensional optimization problems. Since the solution procedure is integer-valued and monotonic in the objective function, the required computation is finite. As a result, we get not only a single optimal solution of the original transportation problem but a system of constraints that can yield all optimal solutions. We give numerical examples that illustrate the constructions of our algorithm.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 20.05.2011
English version:
Automation and Remote Control, 2012, Volume 73, Issue 1, Pages 134–143
DOI: https://doi.org/10.1134/S0005117912010109
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. P. Tizik, V. I. Tsurkov, “Iterative functional modification method for solving a transportation problem”, Avtomat. i Telemekh., 2012, no. 1, 148–158; Autom. Remote Control, 73:1 (2012), 134–143
Citation in format AMSBIB
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\by A.~P.~Tizik, V.~I.~Tsurkov
\paper Iterative functional modification method for solving a~transportation problem
\jour Avtomat. i Telemekh.
\yr 2012
\issue 1
\pages 148--158
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\jour Autom. Remote Control
\yr 2012
\vol 73
\issue 1
\pages 134--143
\crossref{https://doi.org/10.1134/S0005117912010109}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856170763}
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  • https://www.mathnet.ru/eng/at/y2012/i1/p148
    • 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
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    Full-text PDF :179
    References:65
    First page:35
     
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