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

Rajgopal, Jayant; Mazumdar, M.

doi:10.1002/(sici)1520-6750(199708)44:5<401::aid-nav1>3.0.co;2-8

Naval Research Logistics

1997

DOI: 10.1002/(sici)1520-6750(199708)44:5<401::aid-nav1>3.0.co;2-8

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

Jayant Rajgopal

M. Mazumdar

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Two‐stage component test plans for testing the reliability of a series system

Vellaisamy

Sankar

2002

Naval Research Logistics

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Abstract:A system reliability is often evaluated by individual tests of components that constitute the system. These component test plans have advantages over complete system based tests in terms of time and cost. In this paper, we consider the series system with n components, where the lifetime of the i-th component follows exponential distribution with parameter λi. Assuming test costs for the components are different, we develop an efficient algorithm to design a two-stage component test plan that satisfies the usual probability requirements on the system reliability and in addition minimizes the maximum expected cost. For the case of prior information in the form of upper bounds on λi's, we use the genetic algorithm to solve the associated optimization problems which are otherwise difficult to solve using mathematical programming techniques. The two-stage component test plans are cost effective compared to single-stage plans developed by Rajgopal and Mazumdar. We demonstrate through several numerical examples that our approach has the potential to reduce the overall testing costs significantly.

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Two‐stage component test plans for testing the reliability of a series system

Vellaisamy

Sankar

2002

Naval Research Logistics

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Optimal redesign decisions through failure rate estimates

Jaarsveld

Atan

2020

Naval Research Logistics

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To reduce the time-to-market of newly developed systems, manufacturers increasingly adopt strategies where systems are brought to market while system field reliability is still uncertain. These systems are typically sold under performance-based contracts, which incentivizes potential customers to invest in them despite reliability uncertainty. Such contracts make the manufacturer (partly) responsible for the availability of the system. Subsequently, when field reliability is lower than anticipated, the manufacturer may choose to redesign the system to avoid high contract penalties. Redesign is a costly effort which may substantially increase field reliability. Deciding when to redesign is challenging, especially because the initial failure rate estimate by the system's engineers is refined over time as failure data accrues. We propose a model that endogenizes the failure rate updating to analyze this tactical redesign decision. We study additive and multiplicative redesigns and show that the optimal policy has a control limit structure. We benchmark our optimal policy against a static counterpart numerically, and conclude that basing redesign decisions on the updated estimate of the failure rate can substantially reduce costs. KEYWORDS failure rate, performance-based contract, redesign 1 254This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

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Design of component reliability test plan for a series system having time dependent testing cost with the presence of covariates

Kumar

Bajeel

2017

Comput Stat

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

Cited by 10 publications

References 10 publications

Two‐stage component test plans for testing the reliability of a series system

Two‐stage component test plans for testing the reliability of a series system

Optimal redesign decisions through failure rate estimates

Design of component reliability test plan for a series system having time dependent testing cost with the presence of covariates

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