Bayesian Reliability &amp; Availability¿A Review

Tillman, Frank A.; Kuo, Way; Hwang, Ching-Lai; Grosh, Doris Lloyd

doi:10.1109/tr.1982.5221378

Cited by 33 publications

(4 citation statements)

References 85 publications

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“…Of course, at the design stage many events are unknown; therefore, we have to extract information from the experts about the unknown quantity. Empirical Bayes methods may be of use in this context; see Lemon (1972), Yüceer and Inoue (1980), Tillman, Kuo, Hwang and Grosh (1982), Savchuk (1988), Ho and Pinheiro (2002), Denson, Keene and Caroli (1998), Vasconcelos and Lippman (1997) and Wang and Jia (2006).…”

Section: Eb and Er Approaches In Reliability Assessmentmentioning

confidence: 99%

Comment: Expert Elicitation for Reliable System Design

Wang¹

2006

Statist. Sci.

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Section: Eb and Er Approaches In Reliability Assessmentmentioning

confidence: 99%

Comment: Expert Elicitation for Reliable System Design

Wang¹

2006

Statist. Sci.

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“…Tillman et al [21] established the Bayesian method for the study of availability problems and derived the function of availability from the equation of renewal theory. Gamma priors and the Bayes theorem were used by Kuo [22] to derive steady-state availability and instantaneous availability.…”

Section: Introductionmentioning

confidence: 99%

Bayesian estimate of system availability for consecutive k-out-of-n:F system

Madhumitha

Vijayalakshmi²

2021

IJEECS

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In the efficient design and functionality of complex systems, redundancy problems in systems play a key role. The consecutive-k-out-of-n:F structure, which has broad application in street light arrangements, vacuum systems in an accelerator, sliding window detection, relay stations for a communication system. Availability is one of the significant measures for a maintained device because availability accounts for the repair capability. A very significant feature is the steady-state availability of a repairable device. For the repairable consecutive k-out-of-n:F system with independent and identically distributed components, the Bayesian point estimate (B.P.E) of steady-state availability under squared error loss function (SELF) and confidence interval are obtained.

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“…9 In 1962, Rudd 10 applied reliability theory to the design of chemical processing systems and used dynamic programming as a tool in achieving the optimal design for series processing systems that operate in the presence of frequent failures of key processes. In 1982, Tillman et al 11 studied the Bayesian method and its availability by analyzing the assumptions and applicability of classical statistical methods and Bayesian methods in reliability analysis and evaluation. Nowadays, new advances in machine learning algorithms and computing power have provided opportunities for the development of more effective and efficient system reliability evaluation approaches.…”

Section: Introductionmentioning

confidence: 99%