Avtomatika i Telemekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Avtomat. i Telemekh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Avtomatika i Telemekhanika, 2016, Issue 11, Pages 18–42 (Mi at14595)  
This article is cited in 4 scientific papers (total in 4 papers)

Topical issue

Multi-index transportation problems with $1$-nested structure

L. G. Afraimovich, A. S. Katerov, M. Kh. Prilutskii

Lobachevsky State University, Nizhny Novgorod, Russia
Full-text PDF (733 kB) Citations (4)
References:
PDF
HTML
Abstract: Consideration was given to the solution of the multi-index transportation problems of linear and integer-linear programming. It was proposed to use the approach based on studying the reducibility of the multi-index transportation problems to the problem of the minimal cost in the treelike network. It was proved that within the framework of the reduction scheme the condition for $1$-nesting of the multi-index problems is necessary and sufficient for reducibility to the problem of the minimal-cost flow problem on a treelike network. An algorithm was proposed to solve the $1$-nested multi-index problems requiring as many computer operations as the square of variables in the original problem.
Funding agency Grant number
Russian Science Foundation 15-11-30022
This work was supported in part by the grant “Global Optimization, Supercomputer Calculations, and Applications” of the Russian Science Foundation, project no. 15-11-30022.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 04.02.2016
English version:
Automation and Remote Control, 2016, Volume 77, Issue 11, Pages 1894–1913
DOI: https://doi.org/10.1134/S0005117916110023
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. G. Afraimovich, A. S. Katerov, M. Kh. Prilutskii, “Multi-index transportation problems with $1$-nested structure”, Avtomat. i Telemekh., 2016, no. 11, 18–42; Autom. Remote Control, 77:11 (2016), 1894–1913
Citation in format AMSBIB
\Bibitem{AfrKatPri16}
\by L.~G.~Afraimovich, A.~S.~Katerov, M.~Kh.~Prilutskii
\paper Multi-index transportation problems with $1$-nested structure
\jour Avtomat. i Telemekh.
\yr 2016
\issue 11
\pages 18--42
\mathnet{http://mi.mathnet.ru/at14595}
\elib{https://elibrary.ru/item.asp?id=28367185}
\transl
\jour Autom. Remote Control
\yr 2016
\vol 77
\issue 11
\pages 1894--1913
\crossref{https://doi.org/10.1134/S0005117916110023}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000387924000002}
\elib{https://elibrary.ru/item.asp?id=27592839}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84994730601}
Linking options:
  • https://www.mathnet.ru/eng/at14595
  • https://www.mathnet.ru/eng/at/y2016/i11/p18
    • 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
    		Avtomatika i Telemekhanika
    Statistics & downloads:
    Abstract page:167
    Full-text PDF :38
    References:20
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024