Lin, Z and Kwan, RSK (2014) A two-phase approach for real-world train unit scheduling. Public Transport, 6 (1-2). 35 - 65. ISSN 1866-749X
Abstract
A two-phase approach for the train unit scheduling problem is proposed. The first phase assigns and sequences train trips to train units temporarily ignoring some station infrastructure details. Real-world scenarios such as compatibility among traction types and banned/restricted locations and time allowances for coupling/ decoupling are considered. Its solutions would be near-operable. The second phase focuses on satisfying the remaining station detail requirements, such that the solutions would be fully operable. The first phase is modeled as an integer fixed-charge multicommodity flow (FCMF) problem. A branch-and-price approach is proposed to solve it. Experiments have shown that it is only capable of handling problem instances within about 500 train trips. The train company collaborating in this research operates over 2400 train trips on a typical weekday. Hence, a heuristic has been designed for compacting the problem instance to a much smaller size before the branch-and-price solver is applied. The process is iterative with evolving compaction based on the results from the previous iteration, thereby converging to near-optimal results. The second phase is modeled as a multidimensional matching problem with a mixed integer linear programming (MILP) formulation. A column-and-dependentrow generation method for it is under development.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Springer-Verlag Berlin Heidelberg 2013. This is an author produced version of a paper published in Public Transport. Uploaded in accordance with the publisher's self-archiving policy. The final publication is available at Springer via http://dx.doi.org/10.1007/s12469-013-0073-9 |
Keywords: | Train unit scheduling; Railway shunting; Fixed-charge multicommodity flow; Branch-and-price; Hybridization method |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) > Institute for Computational and Systems Science (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 13 Jan 2015 14:02 |
Last Modified: | 17 Jan 2018 16:53 |
Published Version: | http://dx.doi.org/10.1007/s12469-013-0073-9 |
Status: | Published |
Publisher: | Springer Verlag |
Identification Number: | 10.1007/s12469-013-0073-9 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:81905 |