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Heuristic algorithms for a complex parallel machine scheduling problem

Author

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  • Zoltán Blázsik
  • Csanád Imreh
  • Zoltán Kovács

Abstract

In this work we present a new scheduling model for parallel machines, which extends the multiprocessor scheduling problem with release times for minimizing the total tardiness, and also extends the problem of vehicle routing with time windows. This new model is motivated by a resource allocation problem, which appears in the service sector. We present two class of heuristic algorithms for the solution of the problem, the first class is a class of greedy algorithms, the second class is based on the solutions of linear assignment problems. Furthermore we give a rescheduling algorithm, which improves a given feasible solution of the problem. Copyright Springer-Verlag 2008

Suggested Citation

  • Zoltán Blázsik & Csanád Imreh & Zoltán Kovács, 2008. "Heuristic algorithms for a complex parallel machine scheduling problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 16(4), pages 379-390, December.
    • Handle: RePEc:spr:cejnor:v:16:y:2008:i:4:p:379-390
    DOI: 10.1007/s10100-008-0066-y
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    References listed on IDEAS

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    1. Azi, Nabila & Gendreau, Michel & Potvin, Jean-Yves, 2007. "An exact algorithm for a single-vehicle routing problem with time windows and multiple routes," European Journal of Operational Research, Elsevier, vol. 178(3), pages 755-766, May.
    2. Lau, Hoong Chuin & Sim, Melvyn & Teo, Kwong Meng, 2003. "Vehicle routing problem with time windows and a limited number of vehicles," European Journal of Operational Research, Elsevier, vol. 148(3), pages 559-569, August.
    3. Shim, Sang-Oh & Kim, Yeong-Dae, 2007. "Scheduling on parallel identical machines to minimize total tardiness," European Journal of Operational Research, Elsevier, vol. 177(1), pages 135-146, February.
    4. Baptiste, Philippe & Carlier, Jacques & Jouglet, Antoine, 2004. "A Branch-and-Bound procedure to minimize total tardiness on one machine with arbitrary release dates," European Journal of Operational Research, Elsevier, vol. 158(3), pages 595-608, November.
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    Cited by:

    1. Petr Kučera, 2012. "Different versions of the savings method for the time limited vehicle routing problem," Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, Mendel University Press, vol. 60(7), pages 171-178.
    2. Hermann Maurer & Rizwan Mehmood, 2015. "Merging image databases as an example for information integration," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(2), pages 441-458, June.

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