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An Algorithm for Optimal Project Scheduling under Multiple Resource Constraints

Author

Listed:
  • Edward W. Davis

    (Harvard University)

  • George E. Heidorn

    (Naval Postgraduate School, Monterey, California)

Abstract

An algorithm is described which permits the computation of optimal (minimum-duration) solutions for the resource-constrained project network scheduling problem under conditions of multiple resource requirements per job (activity). The approach is a form of bounded enumeration and employs techniques originally developed for the solution of the assembly line balancing problem. Initial computational results are given, along with an example of the type problems solved. Among the advantages of the procedure are that resource requirements can vary over job duration, and various assumptions concerning job continuity are allowable, with no extra computational effort.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ormnsc:v:17:y:1971:i:12:p:b803-b816
    DOI: 10.1287/mnsc.17.12.B803
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    Cited by:

    1. 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.
    2. Simpson, Wendell P. & Patterson, James H., 1996. "A multiple-tree search procedure for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 89(3), pages 525-542, March.
    3. 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.
    4. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
    5. Mori, Masao & Tseng, Ching Chih, 1997. "A genetic algorithm for multi-mode resource constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 100(1), pages 134-141, July.
    6. 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.
    7. Norbis, Mario & MacGregor Smith, J., 1996. "An interactive decision support system for the resource Constrained Scheduling Problem," European Journal of Operational Research, Elsevier, vol. 94(1), pages 54-65, October.
    8. 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.
    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. Gökçe Esenduran & Nicholas G. Hall & Zhixin Liu, 2015. "Environmental regulation in project‐based industries," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(3), pages 228-247, April.
    11. Colin E. Bell & Jaemin Han, 1991. "A new heuristic solution method in resource‐constrained project scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(3), pages 315-331, June.
    12. 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.
    13. 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.
    14. Kolisch, Rainer & Sprecher, Arno, 1997. "PSPLIB - A project scheduling problem library : OR Software - ORSEP Operations Research Software Exchange Program," European Journal of Operational Research, Elsevier, vol. 96(1), pages 205-216, January.
    15. 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.
    16. Scott E. Sampson & Elliott N. Weiss, 1993. "Local search techniques for the generalized resource constrained project scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(5), pages 665-675, August.
    17. Golenko-Ginzburg, Dimitri & Gonik, Aharon, 1997. "Stochastic network project scheduling with non-consumable limited resources," International Journal of Production Economics, Elsevier, vol. 48(1), pages 29-37, January.
    18. Abdollah Arasteh, 2020. "Considering Project Management Activities for Engineering Design Groups," SN Operations Research Forum, Springer, vol. 1(4), pages 1-29, December.
    19. Demeulemeester, Erik L. & Herroelen, Willy S., 1996. "An efficient optimal solution procedure for the preemptive resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 90(2), pages 334-348, April.
    20. 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.
    21. 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.
    22. 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.
    23. 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.

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