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Solving school bus routing problems through integer programming

Author

Listed:
  • T Bektaş

    (Université de Montréal, HEC Montréal
    Başkent University)

  • Seda Elmastaş

    (Başkent University
    Bilkent University)

Abstract

In this paper, an exact solution approach is described for solving a real-life school bus routing problem (SBRP) for transporting the students of an elementary school throughout central Ankara, Turkey. The problem is modelled as a capacitated and distance constrained open vehicle routing problem and an associated integer linear program is presented. The integer program borrows some well-known inequalities from the vehicle routing problem, which are also shown to be valid for the SBRP under consideration. The optimal solution of the problem is computed using the proposed formulation, resulting in a saving of up to 28.6% in total travelling cost as compared to the current implementation.

Suggested Citation

  • T Bektaş & Seda Elmastaş, 2007. "Solving school bus routing problems through integer programming," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(12), pages 1599-1604, December.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:12:d:10.1057_palgrave.jors.2602305
    DOI: 10.1057/palgrave.jors.2602305
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    References listed on IDEAS

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    1. Letchford, Adam N. & Lysgaard, Jens & Eglese, Richard W., 2006. "A Branch-and-Cut Algorithm for the Capacitated Open Vehicle Routing Problem," CORAL Working Papers L-2006-06, University of Aarhus, Aarhus School of Business, Department of Business Studies.
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    Cited by:

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    3. 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.
    4. 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.
    5. Dasdemir, Erdi & Testik, Murat Caner & Öztürk, Diclehan Tezcaner & Şakar, Ceren Tuncer & Güleryüz, Güldal & Testik, Özlem Müge, 2022. "A multi-objective open vehicle routing problem with overbooking: Exact and heuristic solution approaches for an employee transportation problem," Omega, Elsevier, vol. 108(C).
    6. Agyeman, Stephen & Cheng, Lin, 2020. "Analysis of barriers to perceived service quality in Ghana: Students’ perspectives on bus mobility attributes," Transport Policy, Elsevier, vol. 99(C), pages 63-85.
    7. 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.
    8. Joon Moon & Young Joo Kim & Taesu Cheong & Sang Hwa Song, 2020. "Locating Battery Swapping Stations for a Smart e-Bus System," Sustainability, MDPI, vol. 12(3), pages 1-21, February.
    9. Lu, Chengqi & Maciejewski, Michal & Wu, Hao & Nagel, Kai, 2023. "Demand-responsive transport for students in rural areas: A case study in Vulkaneifel, Germany," Transportation Research Part A: Policy and Practice, Elsevier, vol. 178(C).
    10. 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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