THE DESIGNS OF ACCEPTANCE SAMPLING FOR STRENGTH DISTRIBUTIONS WITH PERCENTILES

Author:

LIO Y. L.1,TSAI TZONG-RU2,WU SHUO-JYE2

Affiliation:

1. Department of Mathematical Sciences, University of South Dakota, Vermillion, SD 57069, USA

2. Department of Statistics, Tamkang University, Tamsui District, New Taipei City 25137, Taiwan

Abstract

In material manufacturing applications, the lower percentiles of breaking strength of products contain critical reliability information. To promote the quality of product, it is important to ensure the lower percentiles of product breaking strength meet a satisfactory level. In this paper, two acceptance sampling plans are developed based on the percentiles of Weibull distribution and lognormal distribution with truncated life testing samples. An algorithm is provided to obtain acceptance sampling plans under the specified points of producer's risk and consumer's risk. Some tables are presented for numerical study, and an example of real data set regarding the first failure times of small electric carts used for internal transportation and delivery is provided for illustration.

Publisher

World Scientific Pub Co Pte Lt

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Energy Engineering and Power Technology,Aerospace Engineering,Safety, Risk, Reliability and Quality,Nuclear Energy and Engineering,General Computer Science

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