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Quality Control under Markovian Deterioration

Sheldon M. Ross
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Sheldon M. Ross: University of California, Berkeley

Management Science, 1971, vol. 17, issue 9, 587-596

Abstract: We suppose that a production process may be in any one of a countable number of states and that the quality of the item produced is a function of this underlying state. It is also supposed that the state of the process at time t is not known and only becomes known when an item is sampled. We suppose that there are inspection, production, and revision costs and provide a framework for handling problems of this nature. We also treat in detail a 2-state version of this problem, and in this case show that the optimal policy does not necessarily have the three region structure which intuition suggests.

Date: 1971
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