IDEAS home Printed from https://ideas.repec.org/p/zbw/cauman/236.html
   My bibliography  Save this paper

Nonpreemptive multi-mode resource-constrained project scheduling

Author

Listed:
  • Drexl, Andreas
  • Grünewald, Jürgen

Abstract

This paper addresses methods for formulating and solving a general class of nonpreemptive resource-constrained project scheduling problems in which job durations are discrete functions of committed renewable, nonrenewable and doubly-constrained resources (multi-mode time resource tradeoff). We present a stochastic scheduling method with which these problems may be solved to suboptimality in an efficient way. Cumputational results demonstrate that this method is highly superior to other well-known existing deterministic scheduling rules. Extensions to problems in which job-specific (demand) resource profiles are varying with time, in addition to time-varying supply resource profiles, are discussed as well.

Suggested Citation

  • Drexl, Andreas & Grünewald, Jürgen, 1989. "Nonpreemptive multi-mode resource-constrained project scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 236, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  • Handle: RePEc:zbw:cauman:236
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/161984/1/manuskript_236.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jan Weogon glarz, 1981. "Project Scheduling with Continuously-Divisible, Doubly Constrained Resources," Management Science, INFORMS, vol. 27(9), pages 1040-1053, September.
    2. 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.
    3. 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.
    4. F. Brian Talbot, 1982. "Resource-Constrained Project Scheduling with Time-Resource Tradeoffs: The Nonpreemptive Case," Management Science, INFORMS, vol. 28(10), pages 1197-1210, October.
    5. 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.
    6. I. Kurtulus & E. W. Davis, 1982. "Multi-Project Scheduling: Categorization of Heuristic Rules Performance," Management Science, INFORMS, vol. 28(2), pages 161-172, February.
    7. Mohanty, R. P. & Siddiq, M. K., 1989. "Multiple projects -- Multiple resources constrained scheduling: A multiobjective analysis," Engineering Costs and Production Economics, Elsevier, vol. 18(1), pages 83-92, October.
    8. Slowinski, Roman, 1981. "Multiobjective network scheduling with efficient use of renewable and nonrenewable resources," European Journal of Operational Research, Elsevier, vol. 7(3), pages 265-273, July.
    9. 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.
    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, 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.
    2. 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.
    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. 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.
    5. 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.
    6. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
    7. 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.
    8. Browning, Tyson R. & Yassine, Ali A., 2010. "Resource-constrained multi-project scheduling: Priority rule performance revisited," International Journal of Production Economics, Elsevier, vol. 126(2), pages 212-228, August.
    9. 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.
    10. 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.
    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. Ulusoy, Gunduz & Ozdamar, Linet, 1996. "A framework for an interactive project scheduling system under limited resources," European Journal of Operational Research, Elsevier, vol. 90(2), pages 362-375, April.
    13. Ahn, Taeho & Erenguc, S. Selcuk, 1998. "The resource constrained project scheduling problem with multiple crashable modes: A heuristic procedure," European Journal of Operational Research, Elsevier, vol. 107(2), pages 250-259, June.
    14. Weglarz, Jan & Józefowska, Joanna & Mika, Marek & Waligóra, Grzegorz, 2011. "Project scheduling with finite or infinite number of activity processing modes - A survey," European Journal of Operational Research, Elsevier, vol. 208(3), pages 177-205, February.
    15. Sprecher, Arno & Kolisch, Rainer & Drexl, Andreas, 1995. "Semi-active, active, and non-delay schedules for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 80(1), pages 94-102, January.
    16. Yang, Kum Khiong & Tay, Lee Choo & Sum, Chee Chuong, 1995. "A comparison of stochastic scheduling rules for maximizing project net present value," European Journal of Operational Research, Elsevier, vol. 85(2), pages 327-339, September.
    17. Sprecher, Arno & Kolisch, Rainer & Drexl, Andreas, 1993. "Semi-active, active and non-delay schedules for the resource-constrained project scheduling problem," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 307, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    18. 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.
    19. 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.
    20. Luis F. Machado-Domínguez & Carlos D. Paternina-Arboleda & Jorge I. Vélez & Agustin Barrios-Sarmiento, 2021. "A memetic algorithm to address the multi-node resource-constrained project scheduling problem," Journal of Scheduling, Springer, vol. 24(4), pages 413-429, August.

    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:zbw:cauman:236. 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.