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Project scheduling under partially renewable resource constraints

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  • Böttcher, Jan
  • Drexl, Andreas
  • Kolisch, Rainer
  • Salewski, Frank

Abstract

We consider a generalization of the classical resource constrained project scheduling problem. We introduce so-called partially reiiewable 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 nonre-newable 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 Pro Gen 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

  • 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.
    • Handle: RePEc:zbw:cauman:398
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    1. 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.
    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. Thomas A. Feo & Mauricio G. C. Resende & Stuart H. Smith, 1994. "A Greedy Randomized Adaptive Search Procedure for Maximum Independent Set," Operations Research, INFORMS, vol. 42(5), pages 860-878, October.
    5. 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.
    6. Dale F. Cooper, 1976. "Heuristics for Scheduling Resource-Constrained Projects: An Experimental Investigation," Management Science, INFORMS, vol. 22(11), pages 1186-1194, July.
    7. 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.
    8. 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.
    9. 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.
    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. S. S. Panwalkar & Wafik Iskander, 1977. "A Survey of Scheduling Rules," Operations Research, INFORMS, vol. 25(1), pages 45-61, February.
    12. 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.
    13. 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.
    14. Jerome D. Wiest, 1964. "Some Properties of Schedules for Large Projects with Limited Resources," Operations Research, INFORMS, vol. 12(3), pages 395-418, June.
    15. 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.
    16. Andreas Drexl, 1991. "Scheduling of Project Networks by Job Assignment," Management Science, INFORMS, vol. 37(12), pages 1590-1602, December.
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    Cited by:

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    3. Schirmer, Armin, 1998. "Adaptive control schemes for parameterized heuristic scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 488, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    4. Drexl, Andreas & Haase, Knut, 1997. "Vorbeugende Instandhaltung und Eilaufträge in der Produktionsplanung," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 450, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    5. 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.
    6. Bartsch, Thomas & Kröger, Stefan, 1996. "Ein Entscheidungs-Unterstützungs-System zur Erstellung von Spielplänen für die Fußballbundesliga," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 427, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

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