Two-directional traffic scheduling problem solution for a single-track railway with siding


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Abstract

The paper is concerned with scheduling trains moving in both directions between two stations connected by a single-track railway with a siding. The paper presents dynamic programming based algorithms which minimizes two objective functions: maximum lateness and total weighted completion time. The complexity of these algorithms is O(n2).

About the authors

A. A. Lazarev

Trapeznikov Institute of Control Sciences; Lomonosov State University; National Research University Higher School of Economics; Moscow Physical and Technical Institute (State University)

Author for correspondence.
Email: jobmath@mail.ru
Russian Federation, Moscow; Moscow; Moscow; Dolgoprudnyi

E. G. Musatova

Trapeznikov Institute of Control Sciences

Email: jobmath@mail.ru
Russian Federation, Moscow

I. A. Tarasov

Trapeznikov Institute of Control Sciences; Lomonosov State University

Email: jobmath@mail.ru
Russian Federation, Moscow; Moscow

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