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A vehicle scheduling problem with fixed trips and time limitations

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  • Eliiyi, Deniz Türsel
  • Ornek, Arslan
  • Karakütük, SadIk Serhat

Abstract

We consider minimum-cost scheduling of different vehicle types on a predetermined set of one-way trips. Trips have predetermined ready times, deadlines and associated demands. All trips must be performed. The total time of operations on any vehicle is limited. We develop a mixed integer model to find the optimal number of vehicles at a minimum cost. Based on the hard nature of the problem, we propose six heuristics. Computational results reveal that heuristics return exceptionally good solutions for problem instances with up to 100 jobs in very small computation times, and are likely to perform well for larger instances.

Suggested Citation

  • Eliiyi, Deniz Türsel & Ornek, Arslan & Karakütük, SadIk Serhat, 2009. "A vehicle scheduling problem with fixed trips and time limitations," International Journal of Production Economics, Elsevier, vol. 117(1), pages 150-161, January.
    • Handle: RePEc:eee:proeco:v:117:y:2009:i:1:p:150-161
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    References listed on IDEAS

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    1. Kovalyov, Mikhail Y. & Ng, C.T. & Cheng, T.C. Edwin, 2007. "Fixed interval scheduling: Models, applications, computational complexity and algorithms," European Journal of Operational Research, Elsevier, vol. 178(2), pages 331-342, April.
    2. Bekki, Özgün BarIs & Azizoglu, Meral, 2008. "Operational fixed interval scheduling problem on uniform parallel machines," International Journal of Production Economics, Elsevier, vol. 112(2), pages 756-768, April.
    3. Zäpfel, Günther & Bögl, Michael, 2008. "Multi-period vehicle routing and crew scheduling with outsourcing options," International Journal of Production Economics, Elsevier, vol. 113(2), pages 980-996, June.
    4. Matteo Fischetti & Silvano Martello & Paolo Toth, 1987. "The Fixed Job Schedule Problem with Spread-Time Constraints," Operations Research, INFORMS, vol. 35(6), pages 849-858, December.
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    Cited by:

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    3. Lin, Cheng-Chang, 2010. "The integrated secondary route network design model in the hierarchical hub-and-spoke network for dual express services," International Journal of Production Economics, Elsevier, vol. 123(1), pages 20-30, January.

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