IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v301y2022i3p855-874.html
   My bibliography  Save this article

Integrated optimization of train timetable, rolling stock assignment and short-turning strategy for a metro line

Author

Listed:
  • Yuan, Jiawei
  • Gao, Yuan
  • Li, Shukai
  • Liu, Pei
  • Yang, Lixing

Abstract

In many large cities, metro operations during peak hours are characterized by an overcrowded and unevenly-distributed passenger demand. This paper introduces a new integrated optimization model for the train timetable, rolling stock assignment, and short-turning strategy on a bidirectional metro line. The purpose is to increase the number of services in higher-passenger-demand segments using limited trains, thereby reducing passengers’ total waiting time on platforms. In particular, we simultaneously consider the multiple service operation zones, the train capacity, the turnaround operations, and the number of available trains. To obtain high-quality solutions, we develop a hybrid algorithm that combines a genetic algorithm with a general-purpose solver. Two sets of case studies, with a simplified metro line and the Beijing metro line 6, are implemented to verify the effectiveness and efficiency of the proposed hybrid algorithm.

Suggested Citation

  • Yuan, Jiawei & Gao, Yuan & Li, Shukai & Liu, Pei & Yang, Lixing, 2022. "Integrated optimization of train timetable, rolling stock assignment and short-turning strategy for a metro line," European Journal of Operational Research, Elsevier, vol. 301(3), pages 855-874.
    • Handle: RePEc:eee:ejores:v:301:y:2022:i:3:p:855-874
    DOI: 10.1016/j.ejor.2021.11.019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037722172100970X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2021.11.019?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Christian Liebchen, 2008. "The First Optimized Railway Timetable in Practice," Transportation Science, INFORMS, vol. 42(4), pages 420-435, November.
    2. Luis Cadarso & Ángel Marín, 2012. "Integration of timetable planning and rolling stock in rapid transit networks," Annals of Operations Research, Springer, vol. 199(1), pages 113-135, October.
    3. Mo, Pengli & D’Ariano, Andrea & Yang, Lixing & Veelenturf, Lucas P. & Gao, Ziyou, 2021. "An exact method for the integrated optimization of subway lines operation strategies with asymmetric passenger demand and operating costs," Transportation Research Part B: Methodological, Elsevier, vol. 149(C), pages 283-321.
    4. Shi, Jungang & Yang, Lixing & Yang, Jing & Gao, Ziyou, 2018. "Service-oriented train timetabling with collaborative passenger flow control on an oversaturated metro line: An integer linear optimization approach," Transportation Research Part B: Methodological, Elsevier, vol. 110(C), pages 26-59.
    5. Liu, Renming & Li, Shukai & Yang, Lixing, 2020. "Collaborative optimization for metro train scheduling and train connections combined with passenger flow control strategy," Omega, Elsevier, vol. 90(C).
    6. Canca, David & Barrena, Eva, 2018. "The integrated rolling stock circulation and depot location problem in railway rapid transit systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 109(C), pages 115-138.
    7. Trozzi, Valentina & Gentile, Guido & Bell, Michael G.H. & Kaparias, Ioannis, 2013. "Dynamic user equilibrium in public transport networks with passenger congestion and hyperpaths," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 266-285.
    8. Canca, David & Zarzo, Alejandro, 2017. "Design of energy-Efficient timetables in two-way railway rapid transit lines," Transportation Research Part B: Methodological, Elsevier, vol. 102(C), pages 142-161.
    9. Cepeda, M. & Cominetti, R. & Florian, M., 2006. "A frequency-based assignment model for congested transit networks with strict capacity constraints: characterization and computation of equilibria," Transportation Research Part B: Methodological, Elsevier, vol. 40(6), pages 437-459, July.
    10. YalçInkaya, Özgür & Mirac Bayhan, G., 2009. "Modelling and optimization of average travel time for a metro line by simulation and response surface methodology," European Journal of Operational Research, Elsevier, vol. 196(1), pages 225-233, July.
    11. Ghoneim, N. S. A. & Wirasinghe, S. C., 1986. "Optimum zone structure during peak periods for existing urban rail lines," Transportation Research Part B: Methodological, Elsevier, vol. 20(1), pages 7-18, February.
    12. Xu, Xiaoming & Li, Chung-Lun & Xu, Zhou, 2018. "Integrated train timetabling and locomotive assignment," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 573-593.
    13. Niu, Huimin & Zhou, Xuesong & Gao, Ruhu, 2015. "Train scheduling for minimizing passenger waiting time with time-dependent demand and skip-stop patterns: Nonlinear integer programming models with linear constraints," Transportation Research Part B: Methodological, Elsevier, vol. 76(C), pages 117-135.
    14. Gao, Yuan & Kroon, Leo & Schmidt, Marie & Yang, Lixing, 2016. "Rescheduling a metro line in an over-crowded situation after disruptions," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 425-449.
    15. Wang, Yihui & Zhao, Kangqi & D’Ariano, Andrea & Niu, Ru & Li, Shukai & Luan, Xiaojie, 2021. "Real-time integrated train rescheduling and rolling stock circulation planning for a metro line under disruptions," Transportation Research Part B: Methodological, Elsevier, vol. 152(C), pages 87-117.
    16. Zhu, Yongqiu & Goverde, Rob M.P., 2019. "Railway timetable rescheduling with flexible stopping and flexible short-turning during disruptions," Transportation Research Part B: Methodological, Elsevier, vol. 123(C), pages 149-181.
    17. Wang, Yihui & D’Ariano, Andrea & Yin, Jiateng & Meng, Lingyun & Tang, Tao & Ning, Bin, 2018. "Passenger demand oriented train scheduling and rolling stock circulation planning for an urban rail transit line," Transportation Research Part B: Methodological, Elsevier, vol. 118(C), pages 193-227.
    18. Yin, Jiateng & D’Ariano, Andrea & Wang, Yihui & Yang, Lixing & Tang, Tao, 2021. "Timetable coordination in a rail transit network with time-dependent passenger demand," European Journal of Operational Research, Elsevier, vol. 295(1), pages 183-202.
    19. Rolf N. Van Lieshout, 2021. "Integrated Periodic Timetabling and Vehicle Circulation Scheduling," Transportation Science, INFORMS, vol. 55(3), pages 768-790, May.
    20. Alejandro Tirachini & Cristián Cortés & Sergio Jara-Díaz, 2011. "Optimal design and benefits of a short turning strategy for a bus corridor," Transportation, Springer, vol. 38(1), pages 169-189, January.
    21. Barrena, Eva & Canca, David & Coelho, Leandro C. & Laporte, Gilbert, 2014. "Single-line rail rapid transit timetabling under dynamic passenger demand," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 134-150.
    22. Yin, Jiateng & Yang, Lixing & Tang, Tao & Gao, Ziyou & Ran, Bin, 2017. "Dynamic passenger demand oriented metro train scheduling with energy-efficiency and waiting time minimization: Mixed-integer linear programming approaches," Transportation Research Part B: Methodological, Elsevier, vol. 97(C), pages 182-213.
    23. Blanco, Víctor & Conde, Eduardo & Hinojosa, Yolanda & Puerto, Justo, 2020. "An optimization model for line planning and timetabling in automated urban metro subway networks. A case study," Omega, Elsevier, vol. 92(C).
    24. David Canca & Eva Barrena & Gilbert Laporte & Francisco A. Ortega, 2016. "A short-turning policy for the management of demand disruptions in rapid transit systems," Annals of Operations Research, Springer, vol. 246(1), pages 145-166, November.
    25. Delle Site, Paolo & Filippi, Francesco, 1998. "Service optimization for bus corridors with short-turn strategies and variable vehicle size," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(1), pages 19-38, January.
    26. Yang, Songpo & Liao, Feixiong & Wu, Jianjun & Timmermans, Harry J.P. & Sun, Huijun & Gao, Ziyou, 2020. "A bi-objective timetable optimization model incorporating energy allocation and passenger assignment in an energy-regenerative metro system," Transportation Research Part B: Methodological, Elsevier, vol. 133(C), pages 85-113.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Liping Ge & Stefan Voß & Lin Xie, 2022. "Robustness and disturbances in public transport," Public Transport, Springer, vol. 14(1), pages 191-261, March.
    2. Pan, Hanchuan & Yang, Lixing & Liang, Zhe, 2023. "Demand-oriented integration optimization of train timetabling and rolling stock circulation planning with flexible train compositions: A column-generation-based approach," European Journal of Operational Research, Elsevier, vol. 305(1), pages 184-206.
    3. Lena Hörsting & Catherine Cleophas, 2023. "Integrating Micro-Depot Freight Transport in Existing Public Transport Services," SN Operations Research Forum, Springer, vol. 4(3), pages 1-35, September.
    4. Zhang, Di & Gao, Yuan & Yang, Lixing & Cui, Lixin, 2024. "Timetable synchronization of the last several trains at night in an urban rail transit network," European Journal of Operational Research, Elsevier, vol. 313(2), pages 494-512.
    5. Wang, Dian & D’Ariano, Andrea & Zhao, Jun & Zhan, Shuguang & Peng, Qiyuan, 2024. "Joint rolling stock rotation planning and depot deadhead scheduling in complicated urban rail transit lines," European Journal of Operational Research, Elsevier, vol. 314(2), pages 665-684.
    6. Zhou, Housheng & Qi, Jianguo & Yang, Lixing & Shi, Jungang & Pan, Hanchuan & Gao, Yuan, 2022. "Joint optimization of train timetabling and rolling stock circulation planning: A novel flexible train composition mode," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 352-385.
    7. Xu, Guangming & Zhong, Linhuan & Liu, Wei & Guo, Jing, 2024. "A flexible train composition strategy with extra-long trains for high-speed railway corridors with time-varying demand," Transportation Research Part B: Methodological, Elsevier, vol. 179(C).
    8. Feng, Tao & Lusby, Richard M. & Zhang, Yongxiang & Peng, Qiyuan, 2024. "Integrating train service route design with passenger flow allocation for an urban rail transit line," European Journal of Operational Research, Elsevier, vol. 313(1), pages 146-170.
    9. Zhengwen Liao, 2023. "Rescheduling Out-of-Gauge Trains with Speed Restrictions and Temporal Blockades on the Opposite-Direction Track," Mathematics, MDPI, vol. 11(12), pages 1-26, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhou, Housheng & Qi, Jianguo & Yang, Lixing & Shi, Jungang & Pan, Hanchuan & Gao, Yuan, 2022. "Joint optimization of train timetabling and rolling stock circulation planning: A novel flexible train composition mode," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 352-385.
    2. Xue, Hongjiao & Jia, Limin & Li, Jian & Guo, Jianyuan, 2022. "Jointly optimized demand-oriented train timetable and passenger flow control strategy for a congested subway line under a short-turning operation pattern," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    3. Yang, Lin & Gao, Yuan & D’Ariano, Andrea & Xu, Suxiu, 2024. "Integrated optimization of train timetable and train unit circulation for a Y-type urban rail transit system with flexible train composition mode," Omega, Elsevier, vol. 122(C).
    4. Xu, Xiaoming & Li, Chung-Lun & Xu, Zhou, 2021. "Train timetabling with stop-skipping, passenger flow, and platform choice considerations," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 52-74.
    5. Liang, Jinpeng & Zang, Guangzhi & Liu, Haitao & Zheng, Jianfeng & Gao, Ziyou, 2023. "Reducing passenger waiting time in oversaturated metro lines with passenger flow control policy," Omega, Elsevier, vol. 117(C).
    6. Pan Shang & Yu Yao & Liya Yang & Lingyun Meng & Pengli Mo, 2021. "Integrated Model for Timetabling and Circulation Planning on an Urban Rail Transit Line: a Coupled Network-Based Flow Formulation," Networks and Spatial Economics, Springer, vol. 21(2), pages 331-364, June.
    7. Yin, Jiateng & Pu, Fan & Yang, Lixing & D’Ariano, Andrea & Wang, Zhouhong, 2023. "Integrated optimization of rolling stock allocation and train timetables for urban rail transit networks: A benders decomposition approach," Transportation Research Part B: Methodological, Elsevier, vol. 176(C).
    8. Wang, Entai & Yang, Lixing & Yin, Jiateng & Zhang, Jinlei & Gao, Ziyou, 2024. "Passenger-oriented rolling stock scheduling in the metro system with multiple depots: Network flow based approaches," Transportation Research Part B: Methodological, Elsevier, vol. 180(C).
    9. Pan, Hanchuan & Yang, Lixing & Liang, Zhe, 2023. "Demand-oriented integration optimization of train timetabling and rolling stock circulation planning with flexible train compositions: A column-generation-based approach," European Journal of Operational Research, Elsevier, vol. 305(1), pages 184-206.
    10. Mo, Pengli & D’Ariano, Andrea & Yang, Lixing & Veelenturf, Lucas P. & Gao, Ziyou, 2021. "An exact method for the integrated optimization of subway lines operation strategies with asymmetric passenger demand and operating costs," Transportation Research Part B: Methodological, Elsevier, vol. 149(C), pages 283-321.
    11. Chai, Simin & Yin, Jiateng & D’Ariano, Andrea & Liu, Ronghui & Yang, Lixing & Tang, Tao, 2024. "A branch-and-cut algorithm for scheduling train platoons in urban rail networks," Transportation Research Part B: Methodological, Elsevier, vol. 181(C).
    12. Yin, Jiateng & Wang, Miao & D’Ariano, Andrea & Zhang, Jinlei & Yang, Lixing, 2023. "Synchronization of train timetables in an urban rail network: A bi-objective optimization approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 174(C).
    13. Shuo Zhao & Jinfei Wu & Zhenyi Li & Ge Meng, 2022. "Train Operational Plan Optimization for Urban Rail Transit Lines Considering Circulation Balance," Sustainability, MDPI, vol. 14(9), pages 1-21, April.
    14. Lu, Yahan & Yang, Lixing & Yang, Hai & Zhou, Housheng & Gao, Ziyou, 2023. "Robust collaborative passenger flow control on a congested metro line: A joint optimization with train timetabling," Transportation Research Part B: Methodological, Elsevier, vol. 168(C), pages 27-55.
    15. Shi, Jungang & Yang, Lixing & Yang, Jing & Gao, Ziyou, 2018. "Service-oriented train timetabling with collaborative passenger flow control on an oversaturated metro line: An integer linear optimization approach," Transportation Research Part B: Methodological, Elsevier, vol. 110(C), pages 26-59.
    16. Cacchiani, Valentina & Qi, Jianguo & Yang, Lixing, 2020. "Robust optimization models for integrated train stop planning and timetabling with passenger demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 136(C), pages 1-29.
    17. Yin, Jiateng & D’Ariano, Andrea & Wang, Yihui & Yang, Lixing & Tang, Tao, 2021. "Timetable coordination in a rail transit network with time-dependent passenger demand," European Journal of Operational Research, Elsevier, vol. 295(1), pages 183-202.
    18. Wang, Yihui & D’Ariano, Andrea & Yin, Jiateng & Meng, Lingyun & Tang, Tao & Ning, Bin, 2018. "Passenger demand oriented train scheduling and rolling stock circulation planning for an urban rail transit line," Transportation Research Part B: Methodological, Elsevier, vol. 118(C), pages 193-227.
    19. Yuan, Yin & Li, Shukai & Yang, Lixing & Gao, Ziyou, 2022. "Real-time optimization of train regulation and passenger flow control for urban rail transit network under frequent disturbances," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).
    20. Chen, Zhiwei & Li, Xiaopeng & Zhou, Xuesong, 2019. "Operational design for shuttle systems with modular vehicles under oversaturated traffic: Discrete modeling method," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 1-19.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:301:y:2022:i:3:p:855-874. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.