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Avtomatika i Telemekhanika, 2018, Issue 3, Pages 144–166 (Mi at14789)  
This article is cited in 8 scientific papers (total in 8 papers)

Optimization, System Analysis, and Operations Research

Scheduling the two-way traffic on a single-track railway with a siding

Y. Zindera, A. A. Lazarevbcde, E. G. Musatovab, I. A. Tarasovbc

a Technical University of Sydney, Sydney, Australia
b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
c Lomonosov State University, Moscow, Russia
d National Research University Higher School of Economics, Moscow, Russia
e Moscow Institute of Physics and Technology (State University), Moscow, Russia
Full-text PDF (706 kB) Citations (8)
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Abstract: The paper is concerned with scheduling the two-way traffic between two stations connected by a single-track railway with a siding. It is shown that if, for each station, the order in which trains leave this station is known or can be found, then for various objective functions an optimal schedule can be constructed in polynomial time using the method of dynamic programming. Based on this result, the paper also presents a polynomial-time algorithm minimising the weighted number of late trains.
Keywords: dynamic programming, polynomial algorithm, railway planning, scheduling theory.
Funding agency Grant number
Russian Foundation for Basic Research 17-20-01107
15-07-03141
15-07-07489
This work was supported by Russian Railways, project no. 17-20-01107, and the Russian Foundation for Basic Research, projects nos. 15-07-03141 and 15-07-07489.
Presented by the member of Editorial Board: V. M. Vishnevsky

Received: 17.05.2017
English version:
Automation and Remote Control, 2018, Volume 79, Issue 3, Pages 506–523
DOI: https://doi.org/10.1134/S0005117918030098
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Y. Zinder, A. A. Lazarev, E. G. Musatova, I. A. Tarasov, “Scheduling the two-way traffic on a single-track railway with a siding”, Avtomat. i Telemekh., 2018, no. 3, 144–166; Autom. Remote Control, 79:3 (2018), 506–523
Citation in format AMSBIB
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\paper Scheduling the two-way traffic on a~single-track railway with a~siding
\jour Avtomat. i Telemekh.
\yr 2018
\issue 3
\pages 144--166
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\transl
\jour Autom. Remote Control
\yr 2018
\vol 79
\issue 3
\pages 506--523
\crossref{https://doi.org/10.1134/S0005117918030098}
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  • https://www.mathnet.ru/eng/at/y2018/i3/p144
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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