IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v45y1999i4p543-559.html
   My bibliography  Save this article

Project Scheduling Under Partially Renewable Resource Constraints

Author

Listed:
  • Jan Böttcher

    (Institut für Betriebswirtschaftslehre, Christian-Albrechts-Universität zu Kiel, Olshausenstr, 40, 24118 Kiel, Germany)

  • Andreas Drexl

    (Institut für Betriebswirtschaftslehre, Christian-Albrechts-Universität zu Kiel, Olshausenstr, 40, 24118 Kiel, Germany)

  • Rainer Kolisch

    (Institut für Betriebswirtschaftlehre, Technische Universität Darmstadt, Hochschulstr, 1, 64289 Darmstadt, Germany)

  • Frank Salewski

    (Institut für Betriebswirtschaftslehre, Christian-Albrechts-Universität zu Kiel, Olshausenstr, 40, 24118 Kiel, Germany)

Abstract

We consider a generalization of the classical resource constrained project scheduling problem. We introduce so-called partially renewable resources by assuming for each resource a capacity on subsets of periods. The concept of partially renewable resources is a fundamental tool in order to make, e.g., timetabling and shift scheduling aspects, amenable to project scheduling. In addition, partially renewable resources serve to model complicated labor regulations. Furthermore, they cover traditional renewable and nonrenewable resource constraints as special cases. We consider makespan minimization as objective. For the exact solution of the problem we employ a basic enumeration scheme. In order to speed up convergence, we formulate bounds which take into account future resource consumption of partially renewable resources. Moreover, we generalize the serial scheduling scheme in order to get fast approximation methods. A rigorous assessment of the procedures is provided by solving ProGen instances generated under a full factorial test design. Besides the well-known problem parameters we employ additionally three parameters which control the generation of partially renewable resources.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ormnsc:v:45:y:1999:i:4:p:543-559
    DOI: 10.1287/mnsc.45.4.543
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.45.4.543
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.45.4.543?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
    ---><---

    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. Christofides, Nicos & Alvarez-Valdes, R. & Tamarit, J. M., 1987. "Project scheduling with resource constraints: A branch and bound approach," European Journal of Operational Research, Elsevier, vol. 29(3), pages 262-273, June.
    3. 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.
    4. Manuel Laguna & Thomas A. Feo & Hal C. Elrod, 1994. "A Greedy Randomized Adaptive Search Procedure for the Two-Partition Problem," Operations Research, INFORMS, vol. 42(4), pages 677-687, August.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Dale F. Cooper, 1976. "Heuristics for Scheduling Resource-Constrained Projects: An Experimental Investigation," Management Science, INFORMS, vol. 22(11), pages 1186-1194, July.
    10. 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.
    11. 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.
    12. Edward W. Davis & George E. Heidorn, 1971. "An Algorithm for Optimal Project Scheduling under Multiple Resource Constraints," Management Science, INFORMS, vol. 17(12), pages 803-816, August.
    13. Jerome D. Wiest, 1964. "Some Properties of Schedules for Large Projects with Limited Resources," Operations Research, INFORMS, vol. 12(3), pages 395-418, June.
    14. F. Brian Talbot & James H. Patterson, 1978. "An Efficient Integer Programming Algorithm with Network Cuts for Solving Resource-Constrained Scheduling Problems," Management Science, INFORMS, vol. 24(11), pages 1163-1174, July.
    15. Andreas Drexl, 1991. "Scheduling of Project Networks by Job Assignment," Management Science, INFORMS, vol. 37(12), pages 1590-1602, December.
    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    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. 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.
    18. 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.
    19. 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.
    20. Sprecher, Arno & Drexl, Andreas, 1996. "Solving Multi-Mode Resource-Constrained Project Scheduling Problems by a Simple, General and Powerful Sequeacing Algorithm. Part I: Theory," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 385, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

    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:inm:ormnsc:v:45:y:1999:i:4:p:543-559. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.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.