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Column Generation Approach To Line Planning With Various Halting Patterns — Application To The Korean High-Speed Railway

Author

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  • BUM HWAN PARK

    (Department of Railway Management and Logistics, Korea National University of Transportation, 374-18 Woulam-Dong, Uiwang-city, Gyeonggi-Do 437-763, Republic of Korea)

  • YONG-IL SEO

    (Energy Business Support Team, Samsung Engineering Co. Ltd. 273-7, Color House, PungNap2-dong, Songpagu, Seoul 201-401, Republic of Korea)

  • SUNG-PIL HONG

    (Department of Industrial Engineering, Seoul National University, 599 Gwanak Ro, Gwanak Gu, Seoul 151-742, Republic of Korea)

  • HAG-LAE RHO

    (Advanced Materials Tilting Train Systems Research Team, Korea Railroad Research Institute, 360-1 Woram-Dong, Uiwang-City, Gyeonggi-Do, 437-757, Republic of Korea)

Abstract

This study investigated railway line planning optimization models that determine the frequency of trains on each line to satisfy passenger origin–destination demands while minimizing related costs. Most line planning models assume that all trains on the same route run with the same halting pattern. However, to minimize passenger travel time and to provide a train service with faster travel times to as many stations as possible, we must consider various halting patterns; these patterns can be provided in advance or are required to be formulated. Our study addresses two line planning problems that consider halting patterns, describes the computational complexities of each problem, and presents the column generation approach for one model. We also present experimental results obtained for the Korean high-speed railway network.

Suggested Citation

  • Bum Hwan Park & Yong-Il Seo & Sung-Pil Hong & Hag-Lae Rho, 2013. "Column Generation Approach To Line Planning With Various Halting Patterns — Application To The Korean High-Speed Railway," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 30(04), pages 1-19.
    • Handle: RePEc:wsi:apjorx:v:30:y:2013:i:04:n:s0217595913500061
    DOI: 10.1142/S0217595913500061
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    References listed on IDEAS

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    1. Goossens Jan-Willem & Hoesel Stan van & Kroon Leo, 2002. "On solving multi-type line planning problems," Research Memorandum 017, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
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    Cited by:

    1. Pu, Song & Zhan, Shuguang, 2021. "Two-stage robust railway line-planning approach with passenger demand uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    2. Wenliang Zhou & Jing Kang & Jin Qin & Sha Li & Yu Huang, 2022. "Robust Optimization of High-Speed Railway Train Plan Based on Multiple Demand Scenarios," Mathematics, MDPI, vol. 10(8), pages 1-26, April.
    3. 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.

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