A Comparison of Several Component-Testing Plans for a Series System

Yan, Victoria C.; Mazumdar,

doi:10.1109/tr.1986.4335498

Cited by 19 publications

(5 citation statements)

References 5 publications

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“…Put another way, since the precision of the estimate of system reliability is driven by the minimum time on test across all components, testing one component more than another only adds to the cost without any addition in precision. This fact has been proved in several papers relating to tests on series system (e.g., Yan and Mazumdar [7], Rajgopal and Mazumdar [10,11], Altinel [12] etc.). Rather than prove it again, we will simplify the problem by denoting the common test time for each component as t g in the development that follows.…”

Section: Combined System and Component Testsmentioning

confidence: 78%

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Optimum combined test plans for systems and components

Rajgopal¹,

Mazumdar²,

Majety³

1999

IIE Transactions

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Since mathematical models based on component reliabilities are frequently used for prediction of system reliability, it stands to reason that cost-eective inferences on the reliability of a system could be made on the basis of tests of its constituent components. Prior research in the area of system-based component testing has for the most part addressed the development of plans that test only the components. From a practitioner's point of view, this is an issue of concern since system failures are often caused by imperfect interfaces and other causes that are not directly attributable to component failures. The exclusion of system tests may thus be an erroneous approach. This paper addresses the development of test plans that explicitly consider the possibility of interface failures. The paper analyzes a series system to determine when testing should be performed on the system alone, on the components only, and on both, depending on test costs and interface reliabilities. Optimum test plans are derived by solving a twostage mathematical program.

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Section: Combined System and Component Testsmentioning

confidence: 78%

“…Gal [4] appears to have been the ®rst to write on this topic. He was followed by others including Mazumdar [5,6], Yan and Mazumdar [7,8], Rajgopal and Mazumdar [9±10,11], Easterling et al [3], and Altinel [12,13]. All of these papers demonstrate how component tests should be designed from a system perspective.…”

Section: Introductionmentioning

confidence: 99%

Optimum combined test plans for systems and components

Rajgopal¹,

Mazumdar²,

Majety³

1999

IIE Transactions

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“…Now consider the subproblems in lt defined by the LHS of (13) and (14). It is clear that for the optimum vector lt we will have ͚ n j Å1 ln l j Å ln(1 0 R 1 ) and ͚ n j Å1 ln l j Å ln(1 0 R 0 ) respectively for the two subproblems.…”

Section: An Acceptance Rule Based On the Maximum Likelihood Estimatormentioning

confidence: 99%

“…Several component test plans for both series and parallel systems were compared by Yan and Mazumdar [14,15]. More recently, Easterling et al [4] considered the case with binomial data, and Altinel [1] derived optimal plans for a series system with exponential failure times.…”

Section: Introductionmentioning

confidence: 99%

Minimum cost component test plans for evaluating reliability of a highly reliable parallel system

Rajgopal

Mazumdar

1997

Naval Research Logistics

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“…Most of the component reliability test plans existing in the literature consider the lifetime distributions as exponential with constant unknown failure rates; they either stop at the rth failure or stop after a fixed time limit. Some examples are Gal (1974), Yan and Mazumdar (1986), Easterling et al (1991), Altinel (1992, 1994), Rajgopal and Mazumdar (1996, 1997), Mazumdar (1977), and Altinel and Ozekici (1998).…”

Section: Introductionmentioning

confidence: 99%

Reliability test plan for a series system with variable failure rates

Bajeel

Kumar

2017

IJQRM

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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.

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A Comparison of Several Component-Testing Plans for a Series System

Cited by 19 publications

References 5 publications

Optimum combined test plans for systems and components

Optimum combined test plans for systems and components

Minimum cost component test plans for evaluating reliability of a highly reliable parallel system

Reliability test plan for a series system with variable failure rates

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