Title: Optimal reliability acceptance sampling plan based on accelerated life test data

Authors: P.C. Ramyamol; Mahesh Kumar

Addresses: Department of Mathematics, National Institute of Technology Calicut, Calicut-673601, India ' Department of Mathematics, National Institute of Technology Calicut, Calicut-673601, India

Abstract: In constant stress accelerated life testing, a unit is tested at a fixed stress level until failure or the termination time point of test. Assuming a log linear life-stress relationship, two different acceptance sampling plans namely: 1) acceptance sampling based on asymptotic distribution of the estimator process capability index (Ĉ_L); 2) acceptance sampling based on exact distribution of Ĉ_L, are developed for exponential distribution based on data obtained from the progressive type-II censoring. Asymptotic and exact distributions of the estimators of the parameters of exponential distribution are obtained. The parameters of the sampling scheme are obtained by minimising expected total testing cost. Some numerical results and comparisons of obtained sampling schemes are presented in tables to illustrate our plans.

Keywords: acceptance sampling plan; exponential distribution; accelerated testing; progressive type-II censoring; optimisation; process capability index.

DOI: 10.1504/IJPQM.2020.108377

International Journal of Productivity and Quality Management, 2020 Vol.30 No.3, pp.354 - 370

Received: 21 Jun 2018
Accepted: 06 Apr 2019
Published online: 10 Jul 2020 *

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