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Basic optimality results for Bayesian group replacement policies. (English) Zbl 1035.62022
Summary: The optimal structure of Bayesian group replacement policies for a parallel system of \(n\) items with exponential failure times and random failure parameter is presented. The paper contains a proof of the fact that it is optimal to observe the system only at failure times. For the case of two items operating in parallel the exact form of the policy is derived.

MSC:
62F15 Bayesian inference
62N05 Reliability and life testing
60K05 Renewal theory
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