Project scheduling under partially renewable resource constraints

Jan Böttcher, Andreas Drexl, Rainer Kolisch and Frank Salewski

No 398, Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel from Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre

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.

Keywords: Project scheduling; resource constraints; partially renewable resources; branch-and-bound algorithm; serial scheduling scheme (search for similar items in EconPapers)
Date: 1996
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Citations: View citations in EconPapers (6)

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