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Multicut logic-based Benders decomposition for discrete-time scheduling and dynamic optimization of network batch plants
Department of Chemical Engineering, University of Waterloo, Waterloo, Ontario, Canada.ORCID iD: 0000-0002-3190-7612
Department of Chemical Engineering, University of Waterloo, Waterloo, Ontario, Canada.
2024 (English)In: AIChE Journal, ISSN 0001-1541, E-ISSN 1547-5905, Vol. 70, no 9, article id e18491Article in journal (Refereed) Published
Abstract [en]

This study presents the first application of a logic-based Benders decomposition (LBBD) technique in the field of simultaneous scheduling and dynamic optimization (SSDO), applied to network batch processes with a discrete-time scheduling formulation. The proposed algorithm employs neighborhood information of ordered discrete decisions (e.g., batching variables) to generate cuts, rather than relying on traditional cut generation techniques based on dual information that are implemented in generalized Benders decomposition (GBD) algorithms. The proposed algorithm relies on solving multiple subproblems per iteration, which is a feature that allows the generation of multiple cuts per iteration thus producing accurate approximations of the objective function in shorter computational times. This results in the herein proposed multicut logic-based discrete Benders decomposition (MLD-BD) algorithm, which enables features such as a pruning strategy, and a cut-off technique. Two case studies are used to demonstrate the computational advantages of the MLD-BD framework against GBD and heuristic methodologies.

Place, publisher, year, edition, pages
Wiley , 2024. Vol. 70, no 9, article id e18491
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-360654DOI: 10.1002/aic.18491ISI: 001228697500001Scopus ID: 2-s2.0-85193858656OAI: oai:DiVA.org:kth-360654DiVA, id: diva2:1941380
Note

QC 20250303

Available from: 2025-02-28 Created: 2025-02-28 Last updated: 2025-03-03Bibliographically approved

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Liñan, David A

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