An Improved Group Sampling Plan Based on Time-Truncated Life Tests

Abstract

In this paper, a new group sampling plan for the lot acceptance is proposed for the time truncated life test, which can be utilized when multi-item testers are implemented. The design parameters are found using the two-point approach such that the producer's and consumer's risks are satisfied simultaneously at the acceptable reliability level and the lot tolerance reliability level, respectively. The case of Weibull distribution is described to illustrate the procedure that can be used when the quality level is expressed by a multiple of the specified life. The advantage of the proposed plan is demonstrated by comparing with the existing plan in terms of the sample size required. The tables are constructed and some examples are given to illustrate the procedure developed here.

A two-stage group sampling plan based on truncated life tests for a general distribution

“…Recently, Aslam and Jun [11] developed the single-stage group acceptance plan for the inverse Rayleigh and log-logistic distribution by considering only the consumer's risk. Aslam et al [12] proposed the single-stage group acceptance plan for the gamma distribution by considering producer and consumer risks at the same time.…”

Sampling Plans Based on Truncated Life Test for a Generalized Inverted Exponential Distribution

“…Note that g, r and c are the design parameters of the associated group acceptance sampling plan. In literature, group acceptance sampling plans have been discussed by Aslam et al (2009) for gamma distribution, Aslam and Jun (2009a) for Weibull distribution, Aslam and Jun (2009b) for inverse Rayleigh and log-logistic distributions, Rao (2010) for generalized exponential distribution and Aslam et al (2011a) for Birnbaum-Saunders distribution. It is to be noticed that two-stage group acceptance sampling plan is a further generalization of the group acceptance sampling plan.…”

“…It is to be noticed that two-stage group acceptance sampling plan is a further generalization of the group acceptance sampling plan. One may refer to the works of Aslam et al (2011Aslam et al ( ), (2011b, (2013) and cited references there-in for various results on such acceptance sampling plans.…”

Acceptance Sampling Plans from Life Tests Based on Percentiles of Half Normal Distribution

“…Studies regarding truncated life tests can be found in Epstein [1], Sobel and Tischendrof [2], Goode and Kao [3], Gupta and Groll [4], Gupta [5], Fertig and Mann [6], Kantam and Rosaiah [7], Baklizi [8], Wu and Tsai [9], Rosaiah and Kantam [10], Rosaiah et al [11], Tsai and Wu [12], Balakrishnan et al [13], Srinivasa Rao et al [14], Srinivasa Rao et al [15], Aslam et al [16], and Srinivasa Rao et al [17]. All these authors designed acceptance sampling plans based on the mean life time under a truncated life test.…”