Optimal assignment of products to equipment items in multi-purpose batch chemical plants |
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| Affiliation: | 1. Institute of Automotive Management and Industrial Production, Technische Universität Braunschweig, Mühlenpfordtstr. 23, 38106 Braunschweig, Germany;2. Resilient and Sustainable Operations and Supply Chain Management Group, Hamburg University of Technology, Am Schwarzenberg-Campus 4, 21073 Hamburg, Germany;1. Department of Manufacturing Sciences and Logistics, Mines Saint-Etienne, CNRS, UMR 6158 LIMOS, 13541 Gardanne, France;2. Department of Accounting and Operations Management, BI Norwegian Business School, Oslo, Norway |
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| Abstract: | A subproblem of scheduling is considered; the optimal assignment of products to equipment items, neglecting the order and sequencing of processing steps. This problem arises, if differences exist in the suitability of equipment items for processing different kinds of processing steps. The optimal compromise between capacity and suitability must be determined. Further, the influence of earliest starting time and latest completion time and the use of additional tools of limited number for optimal assignment is considered.In all cases models are proposed, which transform the problem into a capacitated network, on which a Hitchcock transportation problem has to be solved. This enables the use of standard mathematical software. |
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