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A school bus scheduling problem

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  • Kim, Byung-In
  • Kim, Seongbae
  • Park, Junhyuk

Abstract

This paper introduces a school bus scheduling problem wherein trips for each school are given. A trip consists of a sequence of bus stops and their designated school. Each school has its fixed time window within which trips should be completed. A school bus can serve multiple trips for multiple schools. The school bus scheduling problem seeks to optimize bus schedules to serve all the given trips considering the school time windows. We first model the problem as a vehicle routing problem with time windows (VRPTW) by treating a trip as a virtual stop. Two assignment problem based exact approaches are then proposed for special cases and a heuristic algorithm is proposed for more general cases. Benchmark problems and computational experiments are presented. Computational experiments show the effectiveness of the proposed approaches.

Suggested Citation

  • Kim, Byung-In & Kim, Seongbae & Park, Junhyuk, 2012. "A school bus scheduling problem," European Journal of Operational Research, Elsevier, vol. 218(2), pages 577-585.
    • Handle: RePEc:eee:ejores:v:218:y:2012:i:2:p:577-585
    DOI: 10.1016/j.ejor.2011.11.035
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    References listed on IDEAS

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    2. Sodachi, Majid & Sahraei, Pardis & Valilai, Omid Fatahi, 2020. "Public sustainable transportation planning with service level efficiency: Hamburg case study," Chapters from the Proceedings of the Hamburg International Conference of Logistics (HICL), in: Jahn, Carlos & Kersten, Wolfgang & Ringle, Christian M. (ed.), Data Science in Maritime and City Logistics: Data-driven Solutions for Logistics and Sustainability. Proceedings of the Hamburg International Conferen, volume 30, pages 97-127, Hamburg University of Technology (TUHH), Institute of Business Logistics and General Management.
    3. Shafahi, Ali & Wang, Zhongxiang & Haghani, Ali, 2018. "SpeedRoute: Fast, efficient solutions for school bus routing problems," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 473-493.
    4. Zhang, Zijun & Kusiak, Andrew & Song, Zhe, 2013. "Scheduling electric power production at a wind farm," European Journal of Operational Research, Elsevier, vol. 224(1), pages 227-238.
    5. Wang, Zhongxiang & Haghani, Ali, 2020. "Column generation-based stochastic school bell time and bus scheduling optimization," European Journal of Operational Research, Elsevier, vol. 286(3), pages 1087-1102.
    6. Huasheng Liu & Yuqi Zhao & Jin Li & Yu Li & Xiaowen Li & Sha Yang, 2022. "A Two-Phase, Joint-Commuting Model for Primary and Secondary Schools Considering Parking Sharing," IJERPH, MDPI, vol. 19(11), pages 1-25, May.
    7. Banerjee, Dipayan & Smilowitz, Karen, 2019. "Incorporating equity into the school bus scheduling problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 228-246.
    8. Hernan Caceres & Rajan Batta & Qing He, 2017. "School Bus Routing with Stochastic Demand and Duration Constraints," Transportation Science, INFORMS, vol. 51(4), pages 1349-1364, November.
    9. Ezquerro Eguizábal, Sara & Moura Berodia, José Luis & Ibeas Portilla, Ángel & Benavente Ponce, Juan, 2018. "Optimization model for school transportation design based on economic and social efficiency," Transport Policy, Elsevier, vol. 67(C), pages 93-101.
    10. Ellegood, William A. & Solomon, Stanislaus & North, Jeremy & Campbell, James F., 2020. "School bus routing problem: Contemporary trends and research directions," Omega, Elsevier, vol. 95(C).
    11. Ansari, Azadeh & Farrokhvar, Leily & Kamali, Behrooz, 2021. "Integrated student to school assignment and school bus routing problem for special needs students," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    12. Xiaopan Chen & Yunfeng Kong & Lanxue Dang & Yane Hou & Xinyue Ye, 2015. "Exact and Metaheuristic Approaches for a Bi-Objective School Bus Scheduling Problem," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-20, July.
    13. Kelly, J. Andrew & Fu, Miao, 2014. "Sustainable school commuting – understanding choices and identifying opportunities," Journal of Transport Geography, Elsevier, vol. 34(C), pages 221-230.
    14. Makhadmeh, Sharif Naser & Khader, Ahamad Tajudin & Al-Betar, Mohammed Azmi & Naim, Syibrah & Abasi, Ammar Kamal & Alyasseri, Zaid Abdi Alkareem, 2019. "Optimization methods for power scheduling problems in smart home: Survey," Renewable and Sustainable Energy Reviews, Elsevier, vol. 115(C).
    15. Kuo, Yong-Hong & Leung, Janny M.Y. & Yan, Yimo, 2023. "Public transport for smart cities: Recent innovations and future challenges," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1001-1026.

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