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Improved Compact Models for the Resource-Constrained Project Scheduling Problem

In: Operations Research Proceedings 2016

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  • Alexander Tesch

    (Zuse Institute Berlin (ZIB))

Abstract

In this article, we study compact Mixed-Integer Programming (MIP) models for the Resource-Constrained Project Scheduling Problem (RCPSP). Compared to the classical time-indexed formulation, the size of compact models is strongly polynomial in the number of jobs. In addition to two compact models from the literature, we propose a new compact model. We can show that all three compact models are equivalent by successive linear transformations. For their LP-relaxations, however, we state a full inclusion hierarchy where our new model dominates the previous models in terms of polyhedral strength. Moreover, we reveal a polyhedral relationship to the common time-indexed model. Furthermore, a general class of valid cutting planes for the compact models is introduced and finally all models are evaluated by computational experiments.

Suggested Citation

  • Alexander Tesch, 2018. "Improved Compact Models for the Resource-Constrained Project Scheduling Problem," Operations Research Proceedings, in: Andreas Fink & Armin Fügenschuh & Martin Josef Geiger (ed.), Operations Research Proceedings 2016, pages 25-30, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-55702-1_4
    DOI: 10.1007/978-3-319-55702-1_4
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