Reliability Test Plan with Constrained Sample Size and Number of Failures

2016 ◽  
pp. 146-155
Author(s):  
Bander Al-Zahrani

Apart from other probability models, Dagum distribution is also an effective probability distribution that can be considered for studying the lifetime of a product/material. Reliability test plans deal with sampling procedures in which items are put to test to decide from the life of the items to accept or reject a submitted lot. In the present study, a reliability test plan is proposed to determine the termination time of the experiment for a given sample size, producers risk and termination number when the quantity of interest follows Dagum distribution. In addition to that, a comparison between the proposed and the existing reliability test plans is carried out with respect to time of the experiment. In the end, an example illustrates the results of the proposed plan.


2015 ◽  
Vol 21 (1) ◽  
pp. 112-132 ◽  
Author(s):  
Preeti Wanti Srivastava ◽  
Deepmala Sharma

Purpose – Acceptance sampling plans are designed to decide about acceptance or rejection of a lot of products on the basis of sample drawn from it. Accelerating the life test helps in obtaining information about the lifetimes of high reliability products quickly. The purpose of this paper is to formulate an optimum time censored acceptance sampling plan based on ramp-stress accelerated life test (ALT) for items having log-logistic life distribution. The log-logistic life distribution has been found appropriate for highly reliable components such as power system components and insulating materials. Design/methodology/approach – The inverse power relationship has been used to model stress-life relationship. It is meant for analyzing data for which the accelerated stress is nonthermal in nature, and frequently used as an accelerating stress for products such as capacitors, transformers, and insulators. The method of maximum likelihood is used for estimating design parameters. The optimal test plan is obtained by minimizing variance of test-statistic that decides on acceptability or rejectibility of lot. The optimal test plan finds optimal sample size, stress rates, sample proportion allocated to each stress and lot acceptability constant such that producer’s risk and consumer’s risk is satisfied. Findings – Asymptotic variance plays a pivotal role in determining the sample size required for a sampling plan for deciding the acceptance/rejection of a lot. The sample size is minimized by optimally designing a ramp-stress ALT so that the asymptotic variance is minimized. Originality/value – The model suggested is of use to quality control and reliability engineers dealing with highly reliable items.


Eye ◽  
2019 ◽  
Vol 33 (10) ◽  
pp. 1649-1657 ◽  
Author(s):  
Thiago Paiva Fernandes ◽  
Natalia Leandro de Almeida ◽  
Pamela D. Butler ◽  
Natanael Antonio Santos

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Ramkumar Balan ◽  
Sajana Kunjunni

Burr distribution is considered as a probability model for the lifetime of products. Reliability test plans are those sampling plans in which items from a lot are put to test to make conclusions on the estimate of life, and hence acceptance or rejection of the submitted lot is done. A test plan designs the termination time of the experiment and the termination number for a given sample size and producer’s risk. Tables and graphs were provided for certain specific values of designs, and it is useful to verify the optimum reliability test plan realized by Burr distributions.


2011 ◽  
Vol 65 ◽  
pp. 291-294
Author(s):  
Yao Hua Wang ◽  
Liang Wang ◽  
Hai Shan Yang ◽  
Bao Guo Zhu

In order to solve the problem which generally exists in assessing high explosive ignition reliability of electro-explosive devices (EED), a new test method, based on information equivalence principle, is proposed on the condition of a relatively smaller sample size for instead. According to the definition of information principle, the method measures the reliability test information by the negative logarithm of ignition probability of EED and converts the test by GJB376-1987 at a larger amount of stimulation with a big sample size to a small one. We adopt this method to assess the ignition reliability of EED used in the emergency opening system. The result is that we just need 29 sample size on the confidence of not less than 95% and the ignition reliability greater than 0.999. Compared with the 2996 sample size in GJB376-1987, the method reduces the sample usage greatly. Tests shows that the small sample test method based on information equivalence principle for the ignition reliability test of EED is accurate, feasible and can meet the objective of experimental design


2021 ◽  
Vol 6 (02) ◽  
pp. 67-74
Author(s):  
Wiwit Irawati ◽  
Rendy Rendy ◽  
Dila Angraini ◽  
Dea Annisa ◽  
Tri Utami

E-Commerce should be a potential source of tax revenue seeing its rapid growth and is supported by the growing growth of internet users. But in fact, the tax revenue target has not been achieved. This study aims to determine the effect of Taxpayer awareness and Understanding on Taxpayer compliance. The population used is taxpayers who do E-Commerce registered in Depok City, West Java. The sample was selected using a convenience sampling method with a sample size following the Slovin formula. Before testing the hypothesis, the data are tested by the validity and reliability test and the classical assumption test. The test results show that the understanding of tax regulations partially affects Taxpayer compliance. Furthermore, Taxpayer awareness has no partial effect on Taxpayer compliance with e-Commerce users.


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