Synchronising Lot Sizing and Job Scheduling
Pages 647 - 654
Abstract
We deal here with the production by a subcontractor of resources that a final job scheduler will use to achieve a sequence of jobs. Both are provided with limited storage capacities and must synchronise respective production and consumption processes. The resulting scheduling problem appears, from the point of view of the resource producer, as a multi-stage Lot Sizing problem, where every stage has to be delimited by transfers, which become the core of the decision. Such a problem may typically arise in contexts when the resource is some renewable energy (hydrogen, photo-voltaic,...) required by the jobs and stored inside tanks or batteries. We first set the SLSS: Synchronised Lot Sizing/Scheduling problem in the MILP format and handle it through branch and cut. Next, we get rid of the non {0, 1} decision variables by applying Benders’ cut generation. Finally, we reformulate the SLSS problem as a path search problem set in a specific Transfer space and handle it through an adaptation of the A* algorithm.
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Index Terms
- Synchronising Lot Sizing and Job Scheduling
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Published In
December 2023
1058 pages
ISBN:9798400708916
DOI:10.1145/3628797
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Published: 07 December 2023
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SOICT 2023
SOICT 2023: The 12th International Symposium on Information and Communication Technology
December 7 - 8, 2023
Ho Chi Minh, Vietnam
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