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Minimal delaying alternatives and semi-active timetabling in resource-constrained project scheduling

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  • Sprecher, Arno
  • Drexl, Andreas

Abstract

Over the years numerous branch-and-bound procedures for solving the resource-constrained project scheduling problem have been developed. Enumerating delaying alternatives, extension alternatives, feasible posets, feasible sequences or feasible subsets, they all aim at finding as fast as possible a makespan minimal schedule among the resource and precedence feasible ones. The enumeration is oftenly reduced to the dominant set of semi-active schedules by checking feasibility of local left-shifts. In this paper we show that combining the concepts of minimal delaying alternatives and local left-shifts, if not properly done, does not, as claimed in the literature, reduce the enumeration to the set of semi-active schedules.

Suggested Citation

  • Sprecher, Arno & Drexl, Andreas, 1996. "Minimal delaying alternatives and semi-active timetabling in resource-constrained project scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 426, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    • Handle: RePEc:zbw:cauman:426
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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. Sprecher, Arno & Kolisch, Rainer & Drexl, Andreas, 1995. "Semi-active, active, and non-delay schedules for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 80(1), pages 94-102, January.
    3. 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.
    4. 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.
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