An Interactive Multi-Objective Optimization for Tactical Revision of Train Timetables: A Computationally-Tractable Method for Planners

Railway timetable planners often face the challenge of aligning ideal timetables with limited vehicles and fluctuating capacity needs during their tactical planning phases. To address this, we have developed a multi-objective timetable revision approach using mixed-integer linear programming (MILP)...

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Published in:IEEE access Vol. 13; pp. 157220 - 157234
Main Authors: Maekawa, Yuki, Shen, Eric Tang Kui, Hashimoto, Yuuki, Hori, Satoru
Format: Journal Article
Language:English
Published: Piscataway IEEE 2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Capacity planning
Carriages
Commuter transport
Costs
Integer programming
Iterative methods
Linear programming
Mixed integer
Mixed integer linear programming
multi-objective optimization
Multiple objective analysis
Optimization
Planning
Processor scheduling
Rail transportation
railway
Real-time systems
Revisions
Schedules
Scheduling
Systematics
timetable planning
Timetables
Tradeoffs
User satisfaction
ISSN:2169-3536, 2169-3536
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Abstract Railway timetable planners often face the challenge of aligning ideal timetables with limited vehicles and fluctuating capacity needs during their tactical planning phases. To address this, we have developed a multi-objective timetable revision approach using mixed-integer linear programming (MILP) that optimizes trip cancellations and carriage type assignments. Unlike computationally intensive, fully integrated optimization methods that generate timetables from scratch, our method refines an existing draft timetable, offering a practical and efficient tool for planners. It utilizes a multi-product flow model to balance cost-service trade-offs while considering vehicle scheduling feasibility. Evaluation results from a case study on a commuter rail line in Japan demonstrate the method's practicality. The revised timetable successfully reduced the number of trips by 5% and the total number of carriages by 4%, whereas satisfying user-defined goals for service quality, such as congestion rates. Interactive searches can be completed within 6 minutes, even when user-defined goals are changed. The optimization process is completed in a timeframe suitable for interactive planning, enabling planners to efficiently explore trade-offs. This approach offers a practical and computationally efficient solution for refining timetables under varying demand conditions, supporting the transition from draft planning to operational scheduling.
AbstractList Railway timetable planners often face the challenge of aligning ideal timetables with limited vehicles and fluctuating capacity needs during their tactical planning phases. To address this, we have developed a multi-objective timetable revision approach using mixed-integer linear programming (MILP) that optimizes trip cancellations and carriage type assignments. Unlike computationally intensive, fully integrated optimization methods that generate timetables from scratch, our method refines an existing draft timetable, offering a practical and efficient tool for planners. It utilizes a multi-product flow model to balance cost-service trade-offs while considering vehicle scheduling feasibility. Evaluation results from a case study on a commuter rail line in Japan demonstrate the method's practicality. The revised timetable successfully reduced the number of trips by 5% and the total number of carriages by 4%, whereas satisfying user-defined goals for service quality, such as congestion rates. Interactive searches can be completed within 6 minutes, even when user-defined goals are changed. The optimization process is completed in a timeframe suitable for interactive planning, enabling planners to efficiently explore trade-offs. This approach offers a practical and computationally efficient solution for refining timetables under varying demand conditions, supporting the transition from draft planning to operational scheduling.
Author Maekawa, Yuki
Hashimoto, Yuuki
Shen, Eric Tang Kui
Hori, Satoru
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Cites_doi 10.1016/j.trb.2015.03.004
10.3390/su14095650
10.1016/j.trb.2023.102815
10.1016/j.trc.2024.104893
10.1109/tits.2023.3344468
10.1016/j.tranpol.2022.10.007
10.1016/j.tre.2017.10.018
10.1016/j.ejor.2017.04.057
10.1109/tcss.2024.3379214
10.1016/j.trb.2020.08.005
10.1016/j.trb.2021.08.003
10.1016/j.ejor.2021.11.019
10.1016/j.tre.2023.103035
10.1016/S1474-6670(17)61162-5
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ref2
ref1
ref17
ref16
ref19
(ref10) 2025
ref18
ref8
(ref11) 2025
Goverde (ref15) 2005
ref7
ref9
ref4
ref3
ref6
ref5
(ref12) 2025
(ref13) 2020
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  doi: 10.1016/j.trb.2015.03.004
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  ident: ref11
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  doi: 10.1016/j.trb.2023.102815
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  year: 2025
  ident: ref10
– ident: ref18
  doi: 10.1016/j.trc.2024.104893
– ident: ref8
  doi: 10.1109/tits.2023.3344468
– volume-title: Train Information and Passenger Survey of Metropolitan Intercity Railway
  year: 2025
  ident: ref12
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  doi: 10.1016/j.tranpol.2022.10.007
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  doi: 10.1016/j.tre.2017.10.018
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  doi: 10.1016/j.ejor.2017.04.057
– ident: ref19
  doi: 10.1109/tcss.2024.3379214
– year: 2005
  ident: ref15
  article-title: Punctuality of railway operations and timetable stability analysis
– ident: ref7
  doi: 10.1016/j.trb.2020.08.005
– volume-title: Gurobi Optimizer Reference Manual
  year: 2020
  ident: ref13
– ident: ref17
  doi: 10.1016/j.trb.2021.08.003
– ident: ref2
  doi: 10.1016/j.ejor.2021.11.019
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  doi: 10.1016/j.tre.2023.103035
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SubjectTerms Capacity planning
Carriages
Commuter transport
Costs
Integer programming
Iterative methods
Linear programming
Mixed integer
Mixed integer linear programming
multi-objective optimization
Multiple objective analysis
Optimization
Planning
Processor scheduling
Rail transportation
railway
Real-time systems
Revisions
Schedules
Scheduling
Systematics
timetable planning
Timetables
Tradeoffs
User satisfaction
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Title An Interactive Multi-Objective Optimization for Tactical Revision of Train Timetables: A Computationally-Tractable Method for Planners
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