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Bayesian Process Control for Attributes

Joel M. Calabrese
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Joel M. Calabrese: Department of Business Analysis and Computing Systems, San Francisco State University, San Francisco, California 94132

Management Science, 1995, vol. 41, issue 4, 637-645

Abstract: We consider a process control procedure with fixed sample sizes and sampling intervals, where the fraction defective is the quality variable of interest, a standard attributes control chart methodology. We show that relatively standard cost assumptions lead to formulation of the process control problem as a partially observed Markov decision process, where the posterior probability of a process shift is a sufficient statistic for decision making. We characterize features of the optimal solution and show that the optimal policy has a simple control limit structure. Numerical results are provided which indicate that the procedure may provide significant savings over non-Bayesian techniques.

Keywords: process control; quality control; economic design; machine maintenance; partially observed Markov decision processes; dynamic programming (search for similar items in EconPapers)
Date: 1995
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Citations: View citations in EconPapers (18)

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