A reliability test-plan for series systems with components having stochastic failure rates

2002 ◽  
Vol 51 (1) ◽  
pp. 17-22 ◽  
Author(s):  
J.H. Nair ◽  
S.V. Sabnis
Keyword(s):  
Reliability Test ◽  
Failure Rates ◽  
Test Plan ◽  
Series Systems

Reliability test plan for a series system with variable failure rates

2017 ◽  
Vol 34 (6) ◽  
pp. 849-861 ◽  
Author(s):  
P.N. Bajeel ◽  
Mahesh Kumar
Keyword(s):  
Environmental Factors ◽  
Failure Rate ◽  
Fixed Number ◽  
Reliability Test ◽  
Series System ◽  
Failure Rates ◽  
Integer Optimization ◽  
Test Plan ◽  
Content Type ◽  
Unknown Variable

Purpose This paper considers a series system consisting of n different components having unknown and variable failure rates, where the lifetime of components follow exponential distribution having non-constant failure rates. Moreover, the failure rates are bounded by above and are dependent on environmental factors such as temperature, pressure, through linear relationship. The purpose of this paper is to design a component reliability test plan for such a series system with an unknown variable failure rate. Design/methodology/approach The reliability of the system is estimated with the help of the unbiased estimator of failure rate. The testing procedure is stopped when a fixed number of failures occur for each component. Findings An optimal reliability test plan is designed and the resultant non-linear integer optimization problem is formulated satisfying the constraints of producer’s and consumer’s risks. The obtained results are compared with the results available in the literature. Some examples are considered to illustrate the approach. Originality/value It is observed that use of prior information in the form of an upper bound and incorporation of environmental factors have the advantage of savings in the total testing cost.

scholarly journals Truncated Life Test Plans for Economic Reliability Based on Four-Parametric Burr Distribution

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Ramkumar Balan ◽  
Sajana Kunjunni
Keyword(s):  
Probability Model ◽  
Reliability Test ◽  
Test Plan ◽  
Life Test ◽  
Producer’S Risk ◽  
Sampling Plans ◽  
Burr Distributions ◽  
Burr Distribution ◽  
Truncated Life Test ◽  
Termination Time

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.

scholarly journals Reliability test plan based on Dagum distribution

2016 ◽  
Vol 4 (1) ◽  
pp. 75 ◽  
Author(s):  
Bander Al-Zahrani
Keyword(s):  
Probability Distribution ◽  
Sample Size ◽  
Reliability Test ◽  
Test Plan ◽  
Probability Models ◽  
Quantity Of Interest ◽  
Dagum Distribution ◽  
Sampling Procedures ◽  
Termination Time

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.

Design of a Zero-Failure Reliability Test Plan Based on Customer Usage and Bench Life Test Data

2006 ◽  
Vol 49 (2) ◽  
pp. 93-103
Author(s):  
Jianxiong Chen ◽  
Wenzhen Yan
Keyword(s):  
Monte Carlo Simulation ◽  
Test Data ◽  
New Products ◽  
Test Method ◽  
Reliability Test ◽  
Distribution Analysis ◽  
Test Plan ◽  
Life Test ◽  
Product Service

Reliability tests are mandatory to evaluate new products prior to their release. The proper determination of a reliability test plan is crucial because an erroneous test plan can be very costly and misleading. This paper describes a probability-based method of designing a reliability demonstration test plan using both field customer usage and historical bench life test data. Statistical distribution analysis, Monte Carlo simulation (MCS) technique, and zero-failure test method are integrated into the probability-based method to create test plans that can more accurately evaluate product reliabilities for the required product service life using a small number of test samples.

Reliability Test Plans for Percentiles Based on the Harris Generalized Linear Exponential Distribution

2018 ◽  
Vol 33 (1) ◽  
pp. 61-70
Author(s):  
K. K. Jose ◽  
Albin Paul
Keyword(s):  
Exponential Distribution ◽  
Real Data ◽  
Reliability Test ◽  
Test Plan ◽  
Data Set ◽  
Linear Exponential Distribution ◽  
Family Of Distributions

Abstract In this paper, a generalization of the Harris family of distributions, namely, the Harris generalized linear exponential distribution is discussed. The use of the model is established by fitting it to a real data set. Also, we derive a reliability test plan for acceptance or rejection of a lot of products submitted for inspection with lifetimes following this distribution.

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