Repetitive Group Sampling Plan for Rayleigh Products Based on the Lifetime Performance Index C_L

Abstract

Assume the quality characteristics of the products obey the Rayleigh distribution. Since there is a one-to-one relationship between the lifetime performance index and the conforming rate, we use the lifetime performance index as the quality parameter to design a repetitive group sampling (RGS) plan for Rayleigh products. The optimal plan parameters of the proposed plan are determined by satisfying the given producer's risk and consumer's risk at the same time by minimizing the average sample number and then tabulated for various combinations of acceptance quality levels. Then the comparison is made between the single plan and the RGS plan and the results indicate that the RGS plan is better than that one. At the end, an example is given to illustrate the proposed plan.

Evaluating the lifetime performance index of products based on generalized order statistics from two-parameter exponential model

“…Using the max p-value method, Ahmadi et al (2013) discussed statistical inference for C L on the basis of a progressively first-failure-censored sample coming from a Weibull distribution with known shape parameter. For more details, see Day et al (2017), Lee et al (2010), Wu et al (2007, Liu and Ren (2013), Wu and Lin (2016), Yan et al (2015) and Laumen and Cramer (2015).…”