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Avtomatika i Telemekhanika, 2012, Issue 1, Pages 130–147 (Mi at3599)  
This article is cited in 10 scientific papers (total in 10 papers)

System Analysis and Operations Research

Multi-index transport problems with decomposition structure

L. G. Afraimovich

Lobachevskii State University, Nizhni Novgorod, Russia
Full-text PDF (286 kB) Citations (10)
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Abstract: Consideration was given to the multi-index problems of linear and integer linear programming of the transport type. An approach based on the study of reducibility of the multi-index transport problems to that of seeking a flow on the network was proposed. For the multi-index problems with decomposition structure, a reduction scheme enabling one to solve the original multi-index problem using the cyclic decomposition of the minimum-cost flow of the auxiliary flow problem was constructed. The developed method underlies the heuristic algorithm to solve the NP-hard integer multi-index problem with a system of constraints featuring decompositional properties and general cost matrix.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 21.03.2011
English version:
Automation and Remote Control, 2012, Volume 73, Issue 1, Pages 118–133
DOI: https://doi.org/10.1134/S0005117912010092
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. G. Afraimovich, “Multi-index transport problems with decomposition structure”, Avtomat. i Telemekh., 2012, no. 1, 130–147; Autom. Remote Control, 73:1 (2012), 118–133
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:71
    First page:19
     
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