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A constraint programming approach for the resource-constrained project scheduling problem

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  • Olivier Liess
  • Philippe Michelon

Abstract

A “pure” Constraint Programming approach for the Resource-Constrained Project Scheduling Problem (RCPSP) is presented. Our basic idea was to substitute the resource constraints by a set of “sub-constraints” generated as needed. Each of these sub-constraints corresponds to a set of tasks that cannot be executed together without violating one of the resource constraints. A filtering algorithm for these sub-constraints has been developed. When applied to the initial resource constraints together with known filtering algorithms, this new filtering algorithm provides very good numerical results. Copyright Springer Science+Business Media, LLC 2008

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  • Olivier Liess & Philippe Michelon, 2008. "A constraint programming approach for the resource-constrained project scheduling problem," Annals of Operations Research, Springer, vol. 157(1), pages 25-36, January.
    • Handle: RePEc:spr:annopr:v:157:y:2008:i:1:p:25-36:10.1007/s10479-007-0188-y
    DOI: 10.1007/s10479-007-0188-y
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    References listed on IDEAS

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    1. Sophie Demassey & Christian Artigues & Philippe Michelon, 2005. "Constraint-Propagation-Based Cutting Planes: An Application to the Resource-Constrained Project Scheduling Problem," INFORMS Journal on Computing, INFORMS, vol. 17(1), pages 52-65, February.
    2. Brucker, Peter & Drexl, Andreas & Mohring, Rolf & Neumann, Klaus & Pesch, Erwin, 1999. "Resource-constrained project scheduling: Notation, classification, models, and methods," European Journal of Operational Research, Elsevier, vol. 112(1), pages 3-41, January.
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    6. Kolisch, Rainer & Sprecher, Arno, 1996. "PSPLIB - a project scheduling problem library," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 396, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    7. U. Dorndorf & E. Pesch & T. Phan-Huy, 2000. "A branch-and-bound algorithm for the resource-constrained project scheduling problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(3), pages 413-439, December.
    8. Klein, Robert, 1999. "Computing lower bounds by destructive improvement - an application to resource-constrained project scheduling," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 10913, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
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    Cited by:

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    3. Sciau, Jean-Baptiste & Goyon, Agathe & Sarazin, Alexandre & Bascans, Jérémy & Prud’homme, Charles & Lorca, Xavier, 2024. "Using constraint programming to address the operational aircraft line maintenance scheduling problem," Journal of Air Transport Management, Elsevier, vol. 115(C).

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