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Solving a school bus scheduling problem with integer programming

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  • Fügenschuh, Armin

Abstract

In many rural areas in Germany pupils on the way to school are a large if not the largest group of customers in public transport. If all schools start more or less at the same time then the bus companies need a high number of vehicles to serve the customer peak in the morning rush hours. In this article, we present an integer programming model for the integrated coordination of the school starting times and the public bus services. We discuss preprocessing techniques, model reformulations, and cutting planes that can be incorporated into a branch-and-cut algorithm. Computational results show that in our test counties a much lower number of buses would be sufficient if the schools start at different times.

Suggested Citation

  • Fügenschuh, Armin, 2009. "Solving a school bus scheduling problem with integer programming," European Journal of Operational Research, Elsevier, vol. 193(3), pages 867-884, March.
    • Handle: RePEc:eee:ejores:v:193:y:2009:i:3:p:867-884
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    References listed on IDEAS

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    Cited by:

    1. Masson, Renaud & Ropke, Stefan & Lehuédé, Fabien & Péton, Olivier, 2014. "A branch-and-cut-and-price approach for the pickup and delivery problem with shuttle routes," European Journal of Operational Research, Elsevier, vol. 236(3), pages 849-862.
    2. 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.
    3. Park, Junhyuk & Tae, Hyunchul & Kim, Byung-In, 2012. "A post-improvement procedure for the mixed load school bus routing problem," European Journal of Operational Research, Elsevier, vol. 217(1), pages 204-213.
    4. 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).
    5. Edwards, Finley, 2012. "Early to rise? The effect of daily start times on academic performance," Economics of Education Review, Elsevier, vol. 31(6), pages 970-983.

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