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Solving a school bus scheduling problem with integer programming

Armin Fügenschuh

European Journal of Operational Research, 2009, vol. 193, issue 3, 867-884

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.

Keywords: Integer; programming; Vehicle; scheduling; Coupled; time; windows; Real-world; applications (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:193:y:2009:i:3:p:867-884

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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