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Avtomatika i Telemekhanika, 2008, Issue 7, Pages 90–97 (Mi at689)  
This article is cited in 2 scientific papers (total in 2 papers)

Control in Social Economic Systems

Approximate solution of the control problem of supplies with many intervals and concave cost functions

A. V. Eremeeva, M. Ya. Kovalyovb, P. M. Kuznetsovc

a Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science
b Belarussian State University, Minsk, Belarus
c Omsk State University
Full-text PDF (223 kB) Citations (2)
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Abstract: The problem of searching for a cost-minimum plan of supplies of uniform products to one consumer is considered. The set of admissible intervals of the supply volume and concave cost functions of supplies within each interval are preassigned for each supplier. The totally polynomial ε-approximate algorithm for the given problem and the pseudopolynomial exact algorithm for its partial case are suggested.
Presented by the member of Editorial Board: P. Yu. Chebotarev

Received: 22.05.2007
English version:
Automation and Remote Control, 2008, Volume 69, Issue 7, Pages 1181–1187
DOI: https://doi.org/10.1134/S0005117908070096
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: A. V. Eremeev, M. Ya. Kovalyov, P. M. Kuznetsov, “Approximate solution of the control problem of supplies with many intervals and concave cost functions”, Avtomat. i Telemekh., 2008, no. 7, 90–97; Autom. Remote Control, 69:7 (2008), 1181–1187
Citation in format AMSBIB
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\jour Avtomat. i Telemekh.
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\issue 7
\pages 90--97
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\transl
\jour Autom. Remote Control
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Linking options:
  • https://www.mathnet.ru/eng/at689
  • https://www.mathnet.ru/eng/at/y2008/i7/p90
    • This publication is cited in the following 2 articles:
    1. Eremeev V A., Kovalyov M.Y., Kuznetsov P.M., “Lot-Size Scheduling of a Single Product on Unrelated Parallel Machines”, Optim. Lett., 14:3 (2020), 557–568  crossref  mathscinet  isi
    2. Eremeev A., Kovalyov M., Kuznetsov P., “Single Product Lot-Sizing on Unrelated Parallel Machines With Non-Decreasing Processing Times”, Xi International Scientific and Technical Conference - Applied Mechanics and Dynamics Systems, Journal of Physics Conference Series, 944, IOP Publishing Ltd, 2018, UNSP 012032  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:300
    Full-text PDF :97
    References:46
    First page:4
     
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