Abstract
We consider the Price-Collecting Job Sequencing with One Common and Multiple Secondary Resources problem. The task is to feasibly schedule a subset of jobs from a given larger set. Each job needs two resources: a common resource for a part of the job’s execution time and a secondary resource for the whole execution time. Furthermore each job has one or more time windows and an associated prize. In addition to previous work, we also consider precedence constraints on the jobs. We aim to maximize the total prize over the actually scheduled jobs. To solve large instances heuristically we propose a hybrid of limited discrepancy search and beam search approach that utilize a relaxed decision diagram. We could show that the use of a relaxed decision diagram substantially speed-up the computation times of the search approach.
This project is partially funded by the Doctoral Program Vienna Graduate School on Computational Optimization, Austrian Science Foundation Project No. W1260-N35.
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Horn, M., Maschler, J., Raidl, G., Rönnberg, E.: A*-based construction of decision diagrams for a prize-collecting scheduling problem. Technical report AC-TR-18-011, Algorithms and Complexity Group, TU Wien (2018). submitted
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Horn, M., Raidl, G.R. (2020). Decision Diagram Based Limited Discrepancy Search for a Job Sequencing Problem. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2019. EUROCAST 2019. Lecture Notes in Computer Science(), vol 12013. Springer, Cham. https://doi.org/10.1007/978-3-030-45093-9_42
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DOI: https://doi.org/10.1007/978-3-030-45093-9_42
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