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Main Title: Resource constrained project scheduling with time windows: A branching scheme based on dynamic release dates
Author(s): Fest, Andreas
Möhring, Rolf H.
Stork, Frederik
Uetz, Marc
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15783
http://dx.doi.org/10.14279/depositonce-14556
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: We propose a branch-and-bound algorithm for resource-constrained project scheduling where any two of jobs can be linked by arbitrary minimal and maximal time lags. The jobs have to be scheduled non-preemptively, and while in process, they require several limited resources. The objective is to find a feasible schedule which minimizes the project makespan. Different branch-and-bound algorithms have been previously proposed - either based on constraint propagation techniques, or based on the idea to branch over so-called resource conflicts which are resolved by introducing additional precedence constraints. Our approach also follows the latter principle. The new idea is to resolve resource conflicts only locally by a dynamic update of job release dates instead of introducing precedence constraints. This gives rise to a reduction of both computation time and memory requirements in every node of the enumeration tree, however, at the expense of a loss of information. Nevertheless, enriched by preprocessing, strong dominance rules, and a flexible search strategy, our computational results show that the algorithm performs better than previous branch-and-bound algorithms, and is competitive with a very recent constraint propagation approach as well as tailor-made heuristics, also for large-scale instances.
Subject(s): project scheduling
time windows
branching scheme
dynamic release dates
branch-and-bound algorithm
Issue Date: 1998
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 1998, 596
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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