Optimal dispatching in a periodic review cellular manufacturing system

Optimal dispatching in a periodic review cellular manufacturing system

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Article ID: iaor19911724
Country: United States
Volume: 38
Issue: 5
Start Page Number: 893
End Page Number: 901
Publication Date: Sep 1990
Journal: Operations Research
Authors:
Keywords: scheduling, production
Abstract:

A periodically reviewed cellular manufacturing system, where parts are dispatched from a central control station to n manufacturing cells, is examined. After being processed at a cell, parts are routed back to the control station for inspection. An inspection failure will result in a feedback job order. Optimal dispatching policies are pursued to minimize the expected in-process inventory costs over a finite horizon. A dynamic programming formulation is developed for optimal dispatching. It is shown that the dynamic recursive functions (i.e., cost-to-go functions) are convex and monotonic under the condition of low defect rates and relative low cost material handling. From the convex and monotonic properties, it is shown that optimal dispatching calls for a combination of zero-inventory and nonzero-inventory policies. The optimal input control is proved to be in the form of a pulling system.

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