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Scheduling of project networks by job assignment

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  • Drexl, Andreas

Abstract

A recurring problem in project management involves the allocation of scarce resources to the individual jobs comprising the project. In many situations such as audit scheduling, the resources correspond to individuals (skilled labour). This naturally leads to an assignment type project scheduling problem, i.e. a project has to be processed by assigning one of several individuals (resources) to each job. In this paper we consider the nonpreemptive variant of a resource-constrained project job-assignment problem, where job durations as well as costs depend upon the assigned resource. Regarding precedence relations as well as release dates and deadlines, the question arises, to which jobs resources should be assigned in order to minimize overall costs. For solving this time-resource-cost-tradeoff problem we present a hybrid branch and bound / dynamic programming algorithm with a (rather efficient Monte Carlo type) heuristic upper bounding technique as well as various relaxation procedures for determining lower bounds. Computational results are presented as well.

Suggested Citation

  • Drexl, Andreas, 1990. "Scheduling of project networks by job assignment," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 247, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    • Handle: RePEc:zbw:cauman:247
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    References listed on IDEAS

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    1. 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.
    2. Edward W. Davis & James H. Patterson, 1975. "A Comparison of Heuristic and Optimum Solutions in Resource-Constrained Project Scheduling," Management Science, INFORMS, vol. 21(8), pages 944-955, April.
    3. I. Kurtulus & E. W. Davis, 1982. "Multi-Project Scheduling: Categorization of Heuristic Rules Performance," Management Science, INFORMS, vol. 28(2), pages 161-172, February.
    4. E. L. Lawler & D. E. Wood, 1966. "Branch-and-Bound Methods: A Survey," Operations Research, INFORMS, vol. 14(4), pages 699-719, August.
    5. Marshall L. Fisher & R. Jaikumar & Luk N. Van Wassenhove, 1986. "A Multiplier Adjustment Method for the Generalized Assignment Problem," Management Science, INFORMS, vol. 32(9), pages 1095-1103, September.
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