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Optimum zone structure during peak periods for existing urban rail lines

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  • Ghoneim, N. S. A.
  • Wirasinghe, S. C.

Abstract

The problem of optimizing the service along an existing two-track rail line by adopting a zone-stop schedule during the peak periods is investigated. A dynamic programming technique is employed to determine the number of zones, the stations that belong to each zone, the headway between trains to the same zone and the fleet size. The general objective of the analysis is to minimize the total transportation cost, defined as the sum of the costs of time to the passengers and the relevant rail capital and operating costs. The optimization problem is subject to several constraints including avoidance of train conflicts, limitations on the value of the headway and an available fleet size. The applicability of the model is demonstrated through a numerical example using field data.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:20:y:1986:i:1:p:7-18
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    Cited by:

    1. 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.
    2. 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.
    3. Chang, Yu-Hern & Yeh, Chung-Hsing & Shen, Ching-Cheng, 2000. "A multiobjective model for passenger train services planning: application to Taiwan's high-speed rail line," Transportation Research Part B: Methodological, Elsevier, vol. 34(2), pages 91-106, February.
    4. 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.
    5. Shuo Zhao & Xiwei Mi & Zhenyi Li, 2019. "A Stop-Probability Approach for O-D Service Frequency on High-Speed Railway Lines," Sustainability, MDPI, vol. 11(24), pages 1-21, December.
    6. Yang, Lixing & Qi, Jianguo & Li, Shukai & Gao, Yuan, 2016. "Collaborative optimization for train scheduling and train stop planning on high-speed railways," Omega, Elsevier, vol. 64(C), pages 57-76.
    7. Chew, Joanne S.C. & Zhang, Lele & Gan, Heng S., 2019. "Optimizing limited-stop services with vehicle assignment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 129(C), pages 228-246.
    8. Larrain, Homero & Muñoz, Juan Carlos & Giesen, Ricardo, 2015. "Generation and design heuristics for zonal express services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 79(C), pages 201-212.
    9. Hamid, Faiz & Agarwal, Yogesh K., 2024. "Train stop scheduling problem: An exact approach using valid inequalities and polar duality," European Journal of Operational Research, Elsevier, vol. 313(1), pages 207-224.
    10. 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.

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