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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2021, Volume 14, Issue 3, Pages 61–76
DOI: https://doi.org/10.14529/mmp210305
(Mi vyuru607)
 

This article is cited in 3 scientific papers (total in 3 papers)

Programming and Computer Software

On the scheduling problem of cargo transportation on a railway network segment and algorithms for its solution

A. N. Ignatov

Moscow Aviation Institute, Moscow, Russian Federation
Full-text PDF (252 kB) Citations (3)
References:
Abstract: We consider the problem of scheduling cargo transportation on a railway network segment. The railway network is represented by an undirected multigraph. The traffic along the edges of the multigraph is carried out only at certain intervals – using “subthreads”. We formulate a new mathematical model of traffic along the edges of the multigraph. A universal criterion of optimality for the scheduling problem is proposed. We propose an algorithm to find a suboptimal solution. A meaningful example is given.
Keywords: multigraph, cargo transportation, railway network, timetable, mixed integer linear programming.
Funding agency Grant number
Russian Foundation for Basic Research 20-07-00046_а
This work was supported by the Russian Foundation for Basic Research, project No. 20-07-00046 A.
Received: 27.04.2021
Document Type: Article
UDC: 519.85
MSC: 90C90, 90C11, 05C38
Language: English
Citation: A. N. Ignatov, “On the scheduling problem of cargo transportation on a railway network segment and algorithms for its solution”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:3 (2021), 61–76
Citation in format AMSBIB
\Bibitem{Ign21}
\by A.~N.~Ignatov
\paper On the scheduling problem of cargo transportation on a railway network segment and algorithms for its solution
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2021
\vol 14
\issue 3
\pages 61--76
\mathnet{http://mi.mathnet.ru/vyuru607}
\crossref{https://doi.org/10.14529/mmp210305}
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  • https://www.mathnet.ru/eng/vyuru/v14/i3/p61
  • This publication is cited in the following 3 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 :42
    References:24
     
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