Group Acceptance Sampling Plan for Truncated Life Test using Generalized Exponential-Poisson Distribution


Authors : Dr. V. Kaviyarasu; S. Sivasankari

Volume/Issue : Volume 7 - 2022, Issue 4 - April

Google Scholar : https://bit.ly/3IIfn9N

Scribd : https://bit.ly/3yH7S1p

DOI : https://doi.org/10.5281/zenodo.6555406

Abstract : A Group Acceptance Sampling Plan (GASP) is designedto study the truncated life testplan when the lifetime of an item follows a new compound distribution called as Generalized Exponential-Poisson (GEP). In this article the design parameters are developed for the group size, its acceptance numbers, OC curve, minimum number of groups are determined through the specified consumer’s confidence level and test termination ratio. Two points on the OC curve approach is incorporated to design the proposed plan. The OC values are calculated when the ratio of specified average life and the actual average life is given. The minimum mean ratio for the proposed plan are determined at the fixed producer’s risk. The obtained plan parameters are illustrated with areal time example with the simulation study which are exhibited in the tables.

Keywords : Generalized Exponential-Poisson distribution, consumer’s confidence level, producer’s risk, operating characteristic function, truncated life test

A Group Acceptance Sampling Plan (GASP) is designedto study the truncated life testplan when the lifetime of an item follows a new compound distribution called as Generalized Exponential-Poisson (GEP). In this article the design parameters are developed for the group size, its acceptance numbers, OC curve, minimum number of groups are determined through the specified consumer’s confidence level and test termination ratio. Two points on the OC curve approach is incorporated to design the proposed plan. The OC values are calculated when the ratio of specified average life and the actual average life is given. The minimum mean ratio for the proposed plan are determined at the fixed producer’s risk. The obtained plan parameters are illustrated with areal time example with the simulation study which are exhibited in the tables.

Keywords : Generalized Exponential-Poisson distribution, consumer’s confidence level, producer’s risk, operating characteristic function, truncated life test

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