IDEAS home Printed from https://ideas.repec.org/p/zbw/cauman/354.html
   My bibliography  Save this paper

Hybrid biased random sampling for multiple resourse-constrained project scheduling problems

Author

Listed:
  • Kolisch, Rainer
  • Drexl, Andreas

Abstract

In this paper we propose a new heuristic to solve the well-known multiple resource-constrained project scheduling problem. The method is basically a biased random sampling procedure which shows extremely good results by use of the following features: A problem-based selection of the solution space, a sample-size-based guidance of the search, application of a priority rule superior to so-far existing rules, and finally the application of global and local (lower) bounds. Evaluating this new heuristic on a set of widely used benchmark-instances we show that it derives superior results than all other existing polynomially bounded algorithms.

Suggested Citation

  • Kolisch, Rainer & Drexl, Andreas, 1994. "Hybrid biased random sampling for multiple resourse-constrained project scheduling problems," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 354, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  • Handle: RePEc:zbw:cauman:354
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/155425/1/manuskript_354.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. A. Alan B. Pritsker & Lawrence J. Waiters & Philip M. Wolfe, 1969. "Multiproject Scheduling with Limited Resources: A Zero-One Programming Approach," Management Science, INFORMS, vol. 16(1), pages 93-108, September.
    2. Edward W. Davis & James H. Patterson, 1975. "A Comparison of Heuristic and Optimum Solutions in Resource-Constrained Project Scheduling," Management Science, INFORMS, vol. 21(8), pages 944-955, April.
    3. James H. Patterson & Walter D. Huber, 1974. "A Horizon-Varying, Zero-One Approach to Project Scheduling," Management Science, INFORMS, vol. 20(6), pages 990-998, February.
    4. Rainer Kolisch & Arno Sprecher & Andreas Drexl, 1995. "Characterization and Generation of a General Class of Resource-Constrained Project Scheduling Problems," Management Science, INFORMS, vol. 41(10), pages 1693-1703, October.
    5. Boctor, Fayer F., 1990. "Some efficient multi-heuristic procedures for resource-constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 49(1), pages 3-13, November.
    6. Oguz, Osman & Bala, Hasan, 1994. "A comparative study of computational procedures for the resource constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 72(2), pages 406-416, January.
    7. Erik Demeulemeester & Willy Herroelen, 1992. "A Branch-and-Bound Procedure for the Multiple Resource-Constrained Project Scheduling Problem," Management Science, INFORMS, vol. 38(12), pages 1803-1818, December.
    8. Dale F. Cooper, 1976. "Heuristics for Scheduling Resource-Constrained Projects: An Experimental Investigation," Management Science, INFORMS, vol. 22(11), pages 1186-1194, July.
    9. Jerome D. Wiest, 1967. "A Heuristic Model for Scheduling Large Projects with Limited Resources," Management Science, INFORMS, vol. 13(6), pages 359-377, February.
    10. Li, K. Y. & Willis, R. J., 1992. "An iterative scheduling technique for resource-constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 56(3), pages 370-379, February.
    11. Andreas Drexl, 1991. "Scheduling of Project Networks by Job Assignment," Management Science, INFORMS, vol. 37(12), pages 1590-1602, December.
    12. James H. Patterson, 1984. "A Comparison of Exact Approaches for Solving the Multiple Constrained Resource, Project Scheduling Problem," Management Science, INFORMS, vol. 30(7), pages 854-867, July.
    Full references (including those not matched with items on IDEAS)

    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. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
    2. Kolisch, Rainer, 1996. "Serial and parallel resource-constrained project scheduling methods revisited: Theory and computation," European Journal of Operational Research, Elsevier, vol. 90(2), pages 320-333, April.
    3. Kolisch, Rainer, 1994. "Serial and parallel resource-constrained projekt scheduling methodes revisited: Theory and computation," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 344, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    4. Rainer Kolisch & Andreas Drexl, 1996. "Adaptive search for solving hard project scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(1), pages 23-40, February.
    5. Schirmer, Andreas & Riesenberg, Sven, 1997. "Parameterized heuristics for project scheduling: Biased random sampling methods," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 456, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    6. Aristide Mingozzi & Vittorio Maniezzo & Salvatore Ricciardelli & Lucio Bianco, 1998. "An Exact Algorithm for the Resource-Constrained Project Scheduling Problem Based on a New Mathematical Formulation," Management Science, INFORMS, vol. 44(5), pages 714-729, May.
    7. Kolisch, Rainer, 1994. "Efficient priority rules for the resource-constrained project scheduling problem," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 350, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    8. Jan Böttcher & Andreas Drexl & Rainer Kolisch & Frank Salewski, 1999. "Project Scheduling Under Partially Renewable Resource Constraints," Management Science, INFORMS, vol. 45(4), pages 543-559, April.
    9. Böttcher, Jan & Drexl, Andreas & Kolisch, Rainer & Salewski, Frank, 1996. "Project scheduling under partially renewable resource constraints," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 398, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    10. Salewski, Frank & Schirmer, Andreas & Drexl, Andreas, 1997. "Project scheduling under resource and mode identity constraints: Model, complexity, methods, and application," European Journal of Operational Research, Elsevier, vol. 102(1), pages 88-110, October.
    11. 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.
    12. Kolisch, Rainer & Hartmann, Sonke, 2006. "Experimental investigation of heuristics for resource-constrained project scheduling: An update," European Journal of Operational Research, Elsevier, vol. 174(1), pages 23-37, October.
    13. Schirmer, Andreas & Riesenberg, Sven, 1998. "Class-based control schemes for parameterized project scheduling heuristics," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 471, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    14. Kolisch, Rainer & Hartmann, Sönke, 1998. "Heuristic algorithms for solving the resource-constrained project scheduling problem: Classification and computational analysis," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 469, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    15. Drexl, Andreas & Kolisch, Rainer & Sprecher, Arno, 1995. "Neuere Entwicklungen in der computergestützten Projektplanung," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 379, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    16. Salewski, Frank & Schirmer, Andreas & Drexl, Andreas, 1996. "Project Scheduling under Resource and Mode Identity Constraints. Part I: Model, Complexity Status, and Methods," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 387, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    17. Kolisch, Rainer & Sprecher, Arno & Drexl, Andreas, 1992. "Characterization and generation of a general class of resource-constrained project scheduling problems: Easy and hard instances," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 301, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    18. Kolisch, Rainer & Hempel, Kai, 1995. "Experimentelle Evaluation der methodischen Fundierung von Projektmanagementsoftware," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 372, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    19. Yang, Kum-Khiong, 1998. "A comparison of dispatching rules for executing a resource-constrained project with estimated activity durations," Omega, Elsevier, vol. 26(6), pages 729-738, December.
    20. Lova, Antonio & Maroto, Concepcion & Tormos, Pilar, 2000. "A multicriteria heuristic method to improve resource allocation in multiproject scheduling," European Journal of Operational Research, Elsevier, vol. 127(2), pages 408-424, December.

    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:zbw:cauman:354. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/ibkiede.html .

    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.