Reliability analysis of repairable multi-state system with common bus performance sharing

Yu, Haohui; Yang, Jun; Mo, Huadong

doi:10.1016/j.ress.2014.07.017

Cited by 80 publications

(32 citation statements)

References 36 publications

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“…Step2: Compute U 1 (z), U 2 (z), U 3 (z) by Eqns (10), (11) and (12). The number of multiplications S 2 is bounded by…”

Section: System Reliability Evaluationmentioning

confidence: 99%

“…Xiao and Peng extended it to a series–parallel system with a single common bus and studied the optimal component allocation and maintenance . Yu et al generalized the model to evaluate the reliability of the repairable multi‐state system . Xiao et al 2016 studied the optimal component loading and protection strategy in a common bus system .…”

Section: Introductionmentioning

confidence: 99%

“…11 Yu et al generalized the model to evaluate the reliability of the repairable multi-state system. 12 Xiao et al 2016 studied the optimal component loading and protection strategy in a common bus system. 13 All the previously mentioned works are limited to the case where all the system units are in a single performance sharing group.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Study of Reliability of Multi‐State Systems with Two Performance Sharing Groups

Peng

Liu

Xie

2016

Quality & Reliability Eng

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The performance sharing can be widely seen in different kinds of engineering systems, such as meshed power distribution systems and interconnected data transmission systems. This paper presents a study of systems consisting of multi‐state units connected as two performance sharing groups, and the suggested methodology can be adapted for the case of three or more performance sharing groups. To be more general, the system unit is allowed to be in one single performance sharing group or both. Each unit has a random demand to satisfy, and the units can transmit capacity with each other given that the total performance transmitted in each performance sharing group does not surpass its maximum transmission capacity. An algorithm based on the universal generating function technique is proposed to evaluate the system reliability and the expected system performance deficiency. Copyright © 2016 John Wiley & Sons, Ltd.

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“…Step2: Compute U 1 (z), U 2 (z), U 3 (z) by Eqns (10), (11) and (12). The number of multiplications S 2 is bounded by…”

Section: System Reliability Evaluationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Study of Reliability of Multi‐State Systems with Two Performance Sharing Groups

Peng

Liu

Xie

2016

Quality & Reliability Eng

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“…The reliability evaluation algorithm suggested in this paper is based on the UGF technique, which was first introduced by Ushakov [27]. It has been proven very efficient for evaluating the system reliability of different structures [28][29][30][31][32].…”

Section: Reliability Evaluation Algorithmmentioning

confidence: 99%

Optimal replacement and allocation of multi‐state elements in k‐within‐m‐from‐r/n sliding window systems

Xiao

Peng

Levitin

2015

Appl Stoch Models Bus & Ind

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This paper proposes a new model that generalizes the linear sliding window system to the case of multiple failures. The considered k-within-m-from-r/n sliding window system consists of n linearly ordered multi-state elements and fails if at least k groups out of m consecutive groups of r consecutive multi-state elements have cumulative performance lower than the demand W. A reliability evaluation algorithm is suggested for the proposed system. In order to increase the system availability, maintenance actions can be performed, and the elements can be optimally allocated. A joint element allocation and maintenance optimization model is formulated with the objective of minimizing the total maintenance cost subjected to the pre-specified system availability requirement. Basic procedures of genetic algorithms are adapted to solve the optimization problem. Numerical experiments are presented to illustrate the applications.

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“…A UGF‐based method was proposed to evaluate the system reliability and expected performance deficiency. Yu et al proposed the combination of stochastic process method and the UGF technique to evaluate the instantaneous availability and the mean instantaneous performance deficiency of a repairable MSS with common bus performance sharing. Xiao and Peng used the UGF technique to evaluate the availability of a series‐parallel system with common bus performance sharing and optimized the element allocation and the maintenance by the genetic algorithm in order to minimize the total maintenance cost subject to the prespecified system availability requirement.…”

Section: Introductionmentioning

confidence: 99%

Reliability analysis of multi‐state series systems with performance sharing mechanism under epistemic uncertainty

Qiu

Ming

2019

Quality & Reliability Eng

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For real engineering systems, it is sometimes difficult to obtain sufficient data to estimate the precise values of some parameters in reliability analysis. This kind of uncertainty is called epistemic uncertainty. Because of the epistemic uncertainty, traditional universal generating function (UGF) technique is not appropriate to analyze the reliability of systems with performance sharing mechanism under epistemic uncertainty. This paper proposes a belief UGF (BUGF)-based method to evaluate the reliability of multi-state series systems with performance sharing mechanism under epistemic uncertainty. The proposed BUGF-based reliability analysis method is validated by an illustrative example and compared with the interval UGF (IUGF)-based methods with interval arithmetic or affine arithmetic. The illustrative example shows that the proposed BUGF-based method is more efficient than the IUGF-based methods in the reliability analysis of multi-state systems (MSSs) with performance sharing mechanism under epistemic uncertainty.

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Reliability analysis of repairable multi-state system with common bus performance sharing

Cited by 80 publications

References 36 publications

A Study of Reliability of Multi‐State Systems with Two Performance Sharing Groups

A Study of Reliability of Multi‐State Systems with Two Performance Sharing Groups

Optimal replacement and allocation of multi‐state elements in k‐within‐m‐from‐r/n sliding window systems

Reliability analysis of multi‐state series systems with performance sharing mechanism under epistemic uncertainty

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