Group acceptance sampling plans for lifetimes following an odds exponential log logistic distribution

Rosaiah Kanaparthi,Gadde Srinivasa Rao,Kruthiventi Kalyani,Devireddy Charana Udaya Sivakumar

doi:10.4038/sljastats.v17i3.7903

Rosaiah Kanaparthi, Gadde Srinivasa Rao + Show 2 more

Open Access

https://doi.org/10.4038/sljastats.v17i3.7903

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Abstract

A group acceptance sampling plan is developed for odds exponential log logistic distribution (OELLD) based on truncated lifetime with a known shape parameter. At a specified level of consumer risk and at the predefined test termination time, we derived the minimum number of groups required for a given group size and the acceptance number using the two-point approach by satisfying the producer’s and the consumer’s risks at the specified quality levels, while the termination time and the number of testers are specified. The values of operating characteristic (OC) function according to various quality levels are derived and the minimum ratios of true average life to the specified life for given producer’s risk are obtained. The results are illustrated with real lifetime data set. This work is licensed under a Creative Commons Attribution 4.0 International License .

Highlights

1.1 Introduction to the Research ProblemThe reputation of companies depends upon the high reliability of their products
We considered the group acceptance sampling plans (GASPs) under the truncated life test, which is based on the total number of failures from all groups
The acceptance number for the odds exponential log logistic distribution (OELLD) is smaller as compared to generalized log-logistic distribution by using to 50th percentile

Summary

Introduction to the Research Problem

The reputation of companies depends upon the high reliability of their products. These companies compete with each other on the basis of quality and reliability. The procedure for the proposed plan is as follows [Aslam et al (2011)]: Randomly draw a sample of size n from a production lot, allocate r items to each of g groups (or testers) so that n = rg and put them on test until the pre-determined test time t0. The probability of accepting a lot for the group acceptance sampling plan P( p) based on the number of failures from all groups under a truncated life test at the test time schedule t0 is. 0.5or1.0, the two parameters of the proposed group acceptance sampling plan under the truncated life test at the prespecified time, t0 , with 2 and 1, 1.5, 2 are obtained according to the consumer’s confidence levels 0.25,0.10,0.05,0.01 for 50th percentile and presented in Tables 1, 2and 3

Description of the Proposed Methodology with Real Lifetime Data

Comparison of Distributions

Conclusions