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Integer programming and constraint programming in solving a multi-machine assignment scheduling problem with deadlines and release dates

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  • SADYKOV, Rusland
  • WOLSEY, Laurence

Abstract

We consider both branch-and-cut and column generation approaches for the problem of finding a minimum cost assignment of jobs with release dates and deadlines to unrelated parallel machines. Results are presented for several variants both with and without Constraint Programming. Among the variants, the most effective strategy is to combine a tight and compact, but approximate, Mixed Integer Programming formulation with a global constraint testing single machine feasibility. All the algorithms have been implemented in the Mosel modelling and optimization language.

Suggested Citation

  • SADYKOV, Rusland & WOLSEY, Laurence, 2003. "Integer programming and constraint programming in solving a multi-machine assignment scheduling problem with deadlines and release dates," LIDAM Discussion Papers CORE 2003081, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2003081
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    References listed on IDEAS

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    1. Pascal Van Hentenryck, 2002. "Constraint and Integer Programming in OPL," INFORMS Journal on Computing, INFORMS, vol. 14(4), pages 345-372, November.
    2. Carlier, Jacques, 1982. "The one-machine sequencing problem," European Journal of Operational Research, Elsevier, vol. 11(1), pages 42-47, September.
    3. Peridy, Laurent & Pinson, Eric & Rivreau, David, 2003. "Using short-term memory to minimize the weighted number of late jobs on a single machine," European Journal of Operational Research, Elsevier, vol. 148(3), pages 591-603, August.
    4. Zhi-Long Chen & Warren B. Powell, 1999. "Solving Parallel Machine Scheduling Problems by Column Generation," INFORMS Journal on Computing, INFORMS, vol. 11(1), pages 78-94, February.
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    Cited by:

    1. Artiouchine, Konstantin & Baptiste, Philippe & Dürr, Christoph, 2008. "Runway sequencing with holding patterns," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1254-1266, September.

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