IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v157y2008i1p25-3610.1007-s10479-007-0188-y.html
   My bibliography  Save this article

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

Author

Listed:
  • 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

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-007-0188-y
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-007-0188-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Brucker, Peter & Knust, Sigrid & Schoo, Arno & Thiele, Olaf, 1998. "A branch and bound algorithm for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 107(2), pages 272-288, June.
    2. 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.
    3. 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.
    4. Klein, Robert & Scholl, Armin, 1999. "Computing lower bounds by destructive improvement: An application to resource-constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 112(2), pages 322-346, January.
    5. 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.
    6. 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.
    7. 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).
    8. Brucker, Peter & Knust, Sigrid, 2000. "A linear programming and constraint propagation-based lower bound for the RCPSP," European Journal of Operational Research, Elsevier, vol. 127(2), pages 355-362, December.
    9. Erik L. Demeulemeester & Willy S. Herroelen, 1997. "New Benchmark Results for the Resource-Constrained Project Scheduling Problem," Management Science, INFORMS, vol. 43(11), pages 1485-1492, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Andrei Horbach, 2010. "A Boolean satisfiability approach to the resource-constrained project scheduling problem," Annals of Operations Research, Springer, vol. 181(1), pages 89-107, December.
    2. 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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Andrei Horbach, 2010. "A Boolean satisfiability approach to the resource-constrained project scheduling problem," Annals of Operations Research, Springer, vol. 181(1), pages 89-107, December.
    2. Guo, Weikang & Vanhoucke, Mario & Coelho, José, 2023. "A prediction model for ranking branch-and-bound procedures for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 306(2), pages 579-595.
    3. 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.
    4. Moehring, Rolf & Uetz, Marc & Stork, Frederik & Schulz, Andreas S., 2002. "Solving Project Scheduling Problems by Minimum Cut," Working papers 4231-02, Massachusetts Institute of Technology (MIT), Sloan School of Management.
    5. Klein, Robert, 2000. "Bidirectional planning: improving priority rule-based heuristics for scheduling resource-constrained projects," European Journal of Operational Research, Elsevier, vol. 127(3), pages 619-638, December.
    6. Carlier, J. & Neron, E., 2003. "On linear lower bounds for the resource constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 149(2), pages 314-324, September.
    7. Carlier, Jacques & Neron, Emmanuel, 2007. "Computing redundant resources for the resource constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1452-1463, February.
    8. Horbach, Andrei, 2009. "A boolean satisfiability approach to the resource-constrained project scheduling problem," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 644, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    9. Chen, Jiaqiong & Askin, Ronald G., 2009. "Project selection, scheduling and resource allocation with time dependent returns," European Journal of Operational Research, Elsevier, vol. 193(1), pages 23-34, February.
    10. Brucker, Peter & Knust, Sigrid, 2003. "Lower bounds for resource-constrained project scheduling problems," European Journal of Operational Research, Elsevier, vol. 149(2), pages 302-313, September.
    11. Rolf H. Möhring & Andreas S. Schulz & Frederik Stork & Marc Uetz, 2003. "Solving Project Scheduling Problems by Minimum Cut Computations," Management Science, INFORMS, vol. 49(3), pages 330-350, March.
    12. Sönke Hartmann, 2002. "A self‐adapting genetic algorithm for project scheduling under resource constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(5), pages 433-448, August.
    13. Alexander Tesch, 2020. "A polyhedral study of event-based models for the resource-constrained project scheduling problem," Journal of Scheduling, Springer, vol. 23(2), pages 233-251, April.
    14. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
    15. Valls, Vicente & Quintanilla, Sacramento & Ballestin, Francisco, 2003. "Resource-constrained project scheduling: A critical activity reordering heuristic," European Journal of Operational Research, Elsevier, vol. 149(2), pages 282-301, September.
    16. Sönke Hartmann, 1998. "A competitive genetic algorithm for resource‐constrained project scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(7), pages 733-750, October.
    17. Artigues, Christian & Michelon, Philippe & Reusser, Stephane, 2003. "Insertion techniques for static and dynamic resource-constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 149(2), pages 249-267, September.
    18. Debels, Dieter & De Reyck, Bert & Leus, Roel & Vanhoucke, Mario, 2006. "A hybrid scatter search/electromagnetism meta-heuristic for project scheduling," European Journal of Operational Research, Elsevier, vol. 169(2), pages 638-653, March.
    19. Valls, Vicente & Ballestin, Francisco & Quintanilla, Sacramento, 2005. "Justification and RCPSP: A technique that pays," European Journal of Operational Research, Elsevier, vol. 165(2), pages 375-386, September.
    20. Damay, Jean & Quilliot, Alain & Sanlaville, Eric, 2007. "Linear programming based algorithms for preemptive and non-preemptive RCPSP," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1012-1022, November.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:annopr:v:157:y:2008:i:1:p:25-36:10.1007/s10479-007-0188-y. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.