Bayesian single and double variable sampling plans for the Weibull distribution with censoring

Bayesian single and double variable sampling plans for the Weibull distribution with censoring

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Article ID: iaor20084769
Country: Netherlands
Volume: 177
Issue: 2
Start Page Number: 1062
End Page Number: 1073
Publication Date: Mar 2007
Journal: European Journal of Operational Research
Authors: , ,
Keywords: statistics: distributions
Abstract:

The sampling inspection problem is one of the main research topics in quality control. In this paper, we employ Bayesian decision theory to study single and double variable sampling plans, for the Weibull distribution, with Type II censoring. A general loss function which includes the sampling cost, the time-consuming cost, the salvage value, and the after-sales cost is proposed to determine the Bayes risk and the corresponding optimal sampling plan. Explicit expressions for the Bayes risks for both single and double sampling plans are derived, respectively. Numerical examples are given to illustrate the effectiveness of the proposed method. Comparisons between single and double sampling plans are made, and sensitivity analysis is performed.

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