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Project Scheduling Under Partially Renewable Resource Constraints

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Author Info

  • Jan Böttcher

    (Institut für Betriebswirtschaftslehre, Christian-Albrechts-Universität zu Kiel, Olshausenstr, 40, 24118 Kiel, Germany)

  • Andreas Drexl

    (Institut für Betriebswirtschaftslehre, Christian-Albrechts-Universität zu Kiel, Olshausenstr, 40, 24118 Kiel, Germany)

  • Rainer Kolisch

    (Institut für Betriebswirtschaftlehre, Technische Universität Darmstadt, Hochschulstr, 1, 64289 Darmstadt, Germany)

  • Frank Salewski

    (Institut für Betriebswirtschaftslehre, Christian-Albrechts-Universität zu Kiel, Olshausenstr, 40, 24118 Kiel, Germany)

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    Abstract

    We consider a generalization of the classical resource constrained project scheduling problem. We introduce so-called partially renewable 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 nonrenewable 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 ProGen 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.

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    File URL: http://dx.doi.org/10.1287/mnsc.45.4.543
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 45 (1999)
    Issue (Month): 4 (April)
    Pages: 543-559

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    Handle: RePEc:inm:ormnsc:v:45:y:1999:i:4:p:543-559

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    Related research

    Keywords: project scheduling; resource constraints; partially renewable resources; branch-and-bound algorithm; serial scheduling scheme;

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    Cited by:
    1. Buddhakulsomsiri, Jirachai & Kim, David S., 2007. "Priority rule-based heuristic for multi-mode resource-constrained project scheduling problems with resource vacations and activity splitting," European Journal of Operational Research, Elsevier, vol. 178(2), pages 374-390, April.
    2. Chen, Jiaqiong & Askin, Ronald G., 2009. "Project selection, scheduling and resource allocation with time dependent returns," European Journal of Operational Research, Elsevier, vol. 193(1), pages 23-34, February.
    3. Dirk Briskorn & Malte Fliedner, 2012. "Packing chained items in aligned bins with applications to container transshipment and project scheduling," Computational Statistics, Springer, vol. 75(3), pages 305-326, June.
    4. Karen Puttkammer & Rainer Kleber & Tobias Schulz & Karl Inderfurth, 2011. "Simultane Maschinenbelegungs- und Personaleinsatzplanung in KMUs anhand eines Fallbeispiels aus der Druckereibranche," FEMM Working Papers 110010, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    5. 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.
    6. Ramírez Palencia, Alberto E. & Mejía Delgadillo, Gonzalo E., 2012. "A computer application for a bus body assembly line using Genetic Algorithms," International Journal of Production Economics, Elsevier, vol. 140(1), pages 431-438.
    7. Bodenstein, Christian & Schryen, Guido & Neumann, Dirk, 2012. "Energy-aware workload management models for operation cost reduction in data centers," European Journal of Operational Research, Elsevier, vol. 222(1), pages 157-167.
    8. Chatterjee A K & Mukherjee, Saral, . "Unified Concept of Bottleneck," IIMA Working Papers WP2006-05-01, Indian Institute of Management Ahmedabad, Research and Publication Department.

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