Improved Compact Models for the Resource-Constrained Project Scheduling Problem
- 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.
Author: | Alexander TeschORCiD |
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Document Type: | In Proceedings |
Parent Title (English): | Operations Research Proceedings 2016 |
First Page: | 25 |
Last Page: | 30 |
Year of first publication: | 2017 |
Preprint: | urn:nbn:de:0297-zib-62891 |