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

Arno Sprecher and Andreas Drexl

No 426, Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel from Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre

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.

Keywords: Project Scheduling; Resource Constraints; Branch-and-Bound; Delaying-Sets; Semi-Active Schedules (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:zbw:cauman:426

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