Scheduling the Two-Way Traffic on a Single-Track Railway with a Siding

Scheduling the Two-Way Traffic on a Single-Track Railway with a Siding 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Automation and Remote Control Springer Journals

Scheduling the Two-Way Traffic on a Single-Track Railway with a Siding

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Publisher
Pleiades Publishing
Copyright
Copyright © 2018 by Pleiades Publishing, Ltd.
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Control, Robotics, Mechatronics; Mechanical Engineering; Computer-Aided Engineering (CAD, CAE) and Design
ISSN
0005-1179
eISSN
1608-3032
D.O.I.
10.1134/S0005117918030098
Publisher site
See Article on Publisher Site

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.

Journal

Automation and Remote Control – Springer Journals

Published: Mar 12, 2018

References

  • Two-Directional Traffic Scheduling Problem Solution for a Single-Track Railway with Siding
    Lazarev, A.A.; Musatova, E.G.; Taracov, I.A.
  • A Tutorial on Fundamental Model Structures for Railway Timetable Optimization
    Harrod, S.
  • Solving Single-Track Railway Scheduling Problem Using Constraint Programming
    Oliveira, E.
  • Railway Track Allocation: Models and Methods
    Lusby, R.; Larsen, J.; Ehrgott, M.
  • Two-Way Traffic on a Single Line of Railway
    Frank, O.
  • Oper. Res.
    Szpigel, B.
  • Scheduling Algorithms
    Brucker, P.
  • Two-Station Single-Track Railway Scheduling Problem with Trains of Equal Speed
    Gafarov, E.; Dolgui, A.; Lazarev, A.
  • Proc. 7th Multidisciplinary Int. Conf. Scheduling: Theory Appl. (MISTA 2015)
    Harbering, J.; Ranade, A.; Schmidt, M.
  • Proc. 14th IFAC Sympos. Inform. Control Probl., Part 1
    Sotskov, Y.; Gholami, O.
  • Int. J. Product. Res.
    Sotskov, Y.; Gholami, O.
  • Effective Iterative Algorithms in Scheduling Theory
    Zinder, Ya.; Shkurba, V.
  • Two-Station Single Track Scheduling Problem
    Zinder, Ya.; Lazarev, A.; Musatova, E.; Tarasov, I.; Khusnullin, N.

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