Two-Stage Accelerated Life Test Acceptance Sampling Plans for Quicker Inference About Weibull Distributed Durable Products

By : D.P. Raykundaliya, Sanjay Christian, Jyoti Divecha

Page No: 130-168

Abstract
Accelerated life testing procedure has become more prominent among researchers for the inspection of product reliability as it shortens testing time and reduces cost through harsher-than usual testing conditions. In this paper, we propose a two-stage accelerated life test sampling plan when lifetimes of a product follow Weibull distribution. The truncation time is divided into three parts, to perform a life test under usual, first level, and second level acceleration conditions. It is assumed that the product failure mechanism remains the same during accelerated inspection as that in usual testing conditions. The resultant plans specified by four parameters– single sample size and three acceptance numbers, are not only available in two to three options, but they also safeguard consumer as well as producer in comparison to the constant accelerated life test sampling plan for Weibull distribution. To assure certain quantile life while giving two predetermined levels of accelerations, the probability of acceptance of lot in each stage is a conditional probability of failure. We construct tables of optional optimal life test sampling plan design parameters for 25th and 50th quantile using R codes. R codes are provided for user-tailored construction of plans. The usage of plan is demonstrated using a real-life example.

Authors:
D.P. Raykundaliya and Jyoti Divecha : Department of Statistics, Sardar Patel University, Vallabh Vidyangar, Gujarat-India
Sanjay Christian : Department of Management, JG University, Ahmedabad, Gujarat-India
 

DOI: https://doi.org/10.32381/IAPQRT.2025.49.02.2