Scheduling production of multiple part-types in a system with pre-known demands and deterministic inactive time intervals |
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Authors: | Albert Corominas Rafael Pastor |
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Institution: | IOC – Institute of Industrial and Control Engineering, Technical University of Catalonia (UPC), Av. Diagonal, 647, 11th floor, 08028 Barcelona, Spain |
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Abstract: | We introduce and formalise a scheduling problem that consists in determining an optimum policy (i.e. one that minimises total inventory holding costs) to produce n part-types using a system that is able to share its capacity at all times among these part-types and that switches between an active and an inactive state for pre-known periods of time. Consequently, when active the system must produce enough reserves to meet the demand during the inactive interval. We show that there is always a simple optimum policy in which the production of the part-types is prioritised and, provided the units are properly defined, the optimum priority ordering corresponds to a non-decreasing sequence of the unit holding costs of the part-types. |
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Keywords: | Scheduling Multiple part-types production Failure-prone systems Cumulative resources |
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