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Scheduling production of multiple part-types in a system with pre-known demands and deterministic inactive time intervals

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  • Corominas, Albert
  • Pastor, Rafael

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.

Suggested Citation

  • Corominas, Albert & Pastor, Rafael, 2009. "Scheduling production of multiple part-types in a system with pre-known demands and deterministic inactive time intervals," European Journal of Operational Research, Elsevier, vol. 193(2), pages 639-643, March.
    • Handle: RePEc:eee:ejores:v:193:y:2009:i:2:p:639-643
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    1. James Perkins, 2004. "Optimal Control of Failure-Prone Manufacturing Systems with Constant Repair Times," Annals of Operations Research, Springer, vol. 125(1), pages 233-261, January.
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