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On Project Scheduling with Irregular Starting Time Costs

Möhring, Rolf H.; Schulz, Andreas S.; Stork, Frederik; Uetz, Marc

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

Maniezzo and Mingozzi (Operations Research Letters 25 (1999), pp. 175-182) study a project scheduling problem with irregular starting time costs. Starting from the assumption that its computational complexity status is open, they develop a branch-and-bound procedure and they identify special cases that are solvable in polynomial time. In this note, we present a collection of previously established results which show that the general problem is solvable in polynomial time. This collection may serve as a useful guide to the literature, since this polynomial-time solvability has been rediscovered in different contexts or using different methods. In addition, we briefly review some related results for specializations and generalizations of the problem.