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Column Generation Accelerated Algorithm and Optimisation for a High-Speed Railway Train Timetabling Problem

School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
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Symmetry 2019, 11(8), 983; https://doi.org/10.3390/sym11080983
Received: 19 June 2019 / Revised: 19 July 2019 / Accepted: 22 July 2019 / Published: 2 August 2019
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Abstract

With the rapid development of high-speed railway (HSR) systems, the increasing demand for passenger traffic has put forward higher requirements for HSR train timetabling problems (HSRTTPs). This paper establishes two mathematical optimisation models with different optimisation objectives for an HSRTTP and solves these models through a column generation-based algorithm. However, the column generation-based algorithm has the disadvantage of a slow convergence rate, thus we put forward corresponding acceleration strategies for five stages of the algorithm: preprocessing, restricted master problem, pricing problem, branch-and-bound and postprocessing from a symmetry point between the computation efficiency and the accuracy. The effectiveness of the acceleration strategies was validated by a case study of the Beijing–Shanghai HSR. The results show that the proposed optimal acceleration strategies can increase the computation efficiency of the algorithm by 11.8× on average while ensuring the accuracy. View Full-Text
Keywords: high-speed railway; train timetable; column generation; space-time network; acceleration strategies high-speed railway; train timetable; column generation; space-time network; acceleration strategies
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Wang, J.; Zhou, L.; Yue, Y. Column Generation Accelerated Algorithm and Optimisation for a High-Speed Railway Train Timetabling Problem. Symmetry 2019, 11, 983.

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