Group Acceptance Sampling Plan for Re-Submitted Lots Under Generalized Pareto Distribution

Abdur Razzaque Mughal,Nazrina Aziz,Zakiyah Zain

doi:10.19026/rjaset.10.2468

Abdur Razzaque Mughal, Nazrina Aziz + Show 1 more

Open Access

https://doi.org/10.19026/rjaset.10.2468

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Abstract

In this study, a Group Acceptance Sampling Plan (GASP) for lot resubmitting is developed for situations in which the lifetime of a product follows the generalized Pareto distribution.The design parameters such as minimum group size and acceptance number are observed when the consumer’s risk, number of testers and the test termination time are pre-specified. The proposed plan requires less sample size than the ordinary GASP.The condition of lot re-sampling was examined and measurement of a resubmitted method having a GASP for inspection.

Highlights

Quality assurance expanded the scope of final inspection that consists of all features of manufacturing e.g. statistical process control, HACCP, Six sigma and ISO 9000
The inference about acceptance or rejection of a submitted lot by the single attribute acceptance sampling is based on the truncated life test
The single attribute acceptance sampling is the mixture of sample size, acceptance number and termination time

Summary

INTRODUCTION

Quality assurance expanded the scope of final inspection that consists of all features of manufacturing e.g. statistical process control, HACCP, Six sigma and ISO 9000. The inference about acceptance or rejection of a submitted lot by the single attribute acceptance sampling is based on the truncated life test. Aslam and Jun (2009) designed a GASP for the Weibull distribution with known shape parameter and determined the number of groups and the acceptance number by satisfying producer’s and as well as consumer’s risks for a given termination time. Aslam et al (2010a) studied GASP based on life test assuming that the lifetime follows the Pareto distribution of the second kind with known shape parameters The design parameters such as number of groups and probability of lot acceptance are determined for specified values of termination time, mean ratio and number of testers. Ramaswamy and Anburajan (2012), Ramaswamy and Sutharani (2013), Rao et al (2013)

SAMPLING PLAN

Then the lot acceptance probability for Generalized

We found the optimal group size for generalized

COMPARISON AND CONCLUSION