Bayesian Reliability

Hamada, Michael S.; Wilson, Alyson G.; Reese, C. Shane; Martz, Harry F.

doi:10.1007/978-0-387-77950-8

Cited by 361 publications

(305 citation statements)

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“…The degradation is a non-return process (eg, when in discus-2) sion with unmaintainable systems with stable intensity of use); viz. a unit can be declared as having failed when its degradation reaches a critical threshold [4]. The first test time is prespecified, the same across all the test 3)…”

Section: The Simple Wiener Processes Degradation Modelmentioning

confidence: 99%

A novel Wiener process model with measurement errors for degradation analysis

Wang¹,

Li²,

Zhang³

et al. 2016

EiN

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Section: The Simple Wiener Processes Degradation Modelmentioning

confidence: 99%

A novel Wiener process model with measurement errors for degradation analysis

Wang¹,

Li²,

Zhang³

et al. 2016

EiN

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“…the BN approach will be an efficient framework for reliability modelling (Wilson and Huzurbazar, 2007;Hamada et al, 2008). This recent approach is used not only in this context, but also for design of reliable systems.…”

Section: A Zaidi Et Almentioning

confidence: 99%

“…Consider the example regarding LCD lamp projector failure times discussed by Hamada et al (2008). Data failures (in hours of projection) are (387,182,244,600,627,332,418,300,798,584,660,39,274,174,50,34,1895,158,974,345,1755,1752,473,81,954,1407,230,464,380,131,1205), N=31.…”

mentioning

confidence: 99%

Bayesian reliability models of Weibull systems: State of the art

Zaïdi

Bouamama

Tagina

2012

International Journal of Applied Mathematics and Computer Science

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In the reliability modeling field, we sometimes encounter systems with uncertain structures, and the use of fault trees and reliability diagrams is not possible. To overcome this problem, Bayesian approaches offer a considerable efficiency in this context. This paper introduces recent contributions in the field of reliability modeling with the Bayesian network approach. Bayesian reliability models are applied to systems with Weibull distribution of failure. To achieve the formulation of the reliability model, Bayesian estimation of Weibull parameters and the model's goodness-of-fit are evoked. The advantages of this modelling approach are presented in the case of systems with an unknown reliability structure, those with a common cause of failures and redundant ones. Finally, we raise the issue of the use of BNs in the fault diagnosis area.

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“…Table 1에서 Case A는 신뢰도 변화율이 -0.04/년, Case B는 -0.01/년 을 나타낸다. Table 1의 각 [2,4,8,10,20,40,80,100,200] [11,12,13,14,15,16,17,18,19,20], 8인 경우 T = [11,12,13,14,17,18,19,20], 6인 경우 T= [11,13,15,17,19,20], 3인 경우 T = [11,16,20] Table 2에 제시하였다. 또한 Table 2에 신뢰구 간이 0을 포함하는 구간을 밑줄로 표기하였다.…”

Section:   unclassified

Effect Analysis of Sample Size and Sampling Periods on Accuracy of Reliability Estimation Methods for One-shot Systems using Multiple Comparisons

Son¹

2012

Journal of the Korea Institute of Military Science and Technolo

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This paper provides simulation-based results of effect analysis of sample size and sampling periods on accuracy of reliability estimation methods using multiple comparisons with analysis of variance. Sum of squared errors in estimated reliability measures were evaluated through applying seven estimation methods for one-shot systems to simulated quantal-response data. Analysis of variance was implemented to investigate change in these errors according to variations of sample size and sampling periods for each estimation method, and then the effect analysis on accuracy in reliability estimation was performed using multiple comparisons based on sample size and sampling periods. An efficient way to allocate both sample size and sampling periods for reliability estimation tests of one-shot systems is proposed in this paper from the effect analysis results.

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Bayesian Reliability

Cited by 361 publications

References 0 publications

A novel Wiener process model with measurement errors for degradation analysis

A novel Wiener process model with measurement errors for degradation analysis

Bayesian reliability models of Weibull systems: State of the art

Effect Analysis of Sample Size and Sampling Periods on Accuracy of Reliability Estimation Methods for One-shot Systems using Multiple Comparisons

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