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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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    Cited by:

    1. Drexl, Andreas & Salewski, Frank, 1997. "Distribution requirements and compactness constraints in school timetabling," European Journal of Operational Research, Elsevier, vol. 102(1), pages 193-214, October.
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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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