Acceptance sampling plan paid the attention of many researchers in the last few years, their works focused basically on Bayesian sampling plans under one-sided decision function and different forms of censoring. In the present paper, a single variable sampling plan for exponential distribution based on type II censored samples under random decision function is developed. For a polynomial loss function, an explicit expression for the Bayes risk is determined. To obtain an approximation for the optimal sampling plan, a simple algorithm based on a discretization method is presented. Finally, an illustrative example and a simulation study followed by extensive tables for the proposed sampling plan are provided.
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