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


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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.

Sobre autores

Y. Zinder

Technical University of Sydney

Autor responsável pela correspondência
Email: yakov.zinder@uts.edu.au
Austrália, Sydney

A. Lazarev

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences; Lomonosov State University; National Research University Higher School of Economics; Moscow Institute of Physics and Technology (State University)

Email: yakov.zinder@uts.edu.au
Rússia, Moscow; Moscow; Moscow; Moscow

E. Musatova

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences

Email: yakov.zinder@uts.edu.au
Rússia, Moscow

I. Tarasov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences; Lomonosov State University

Email: yakov.zinder@uts.edu.au
Rússia, Moscow; Moscow

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