Reliability modeling for a discrete time multi-state system with random and dependent transition probabilities

Hu, Linmin; Peng, Rui

doi:10.1177/1748006x18819920

Cited by 5 publications

(6 citation statements)

References 42 publications

(53 reference statements)

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“…He et al [15] used the methodology to assess the reliability of squib valves in pressurized water NPPs. Hu and Peng [16] developed a dynamic reliability model with random and dependent transition probabilities for a non-repairable discrete-time multi-state system. Mamdikar et al [17] devised a reliability analysis framework validated with 32 safetycritical system instances of the NPP.…”

Section: Relevant Workmentioning

confidence: 99%

Data-Driven Maintenance Priority and Resilience Evaluation of Performance Loss in a Main Coolant System

Dui

Chen

et al. 2022

Mathematics

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The main coolant system (MCS) plays a vital role in the stability and reliability of a nuclear power plant. However, human errors and natural disasters may cause some reactor coolant system components to fail, resulting in severe consequences such as nuclear leakage. Therefore, it is crucial to perform a resilience analysis of the MCS, to effectively reduce and prevent losses. In this paper, a resilience importance measure (RIM) for performance loss is proposed to evaluate the performance of the MCS. Specifically, a loss importance measure (LIM) is first proposed to indicate the component maintenance priority of the MCS under different failure conditions. Based on the LIM, RIMs for single component failure and multiple component failures were developed to measure the recovery efficiency of the system performance. Finally, a case study was conducted to demonstrate the proposed resilience measure for system reliability. Results provide a valuable reference for increasing the system security of the MCS and choosing the appropriate total maintenance cost.

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Section: Relevant Workmentioning

confidence: 99%

Data-Driven Maintenance Priority and Resilience Evaluation of Performance Loss in a Main Coolant System

Dui

Chen

et al. 2022

Mathematics

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“…22 The modeling of multi-state systems is considered in literature. 23–25 Furthermore, Song et al 26 tried to analyze fuzzy systems with the adoption of stochastic analysis. Stochastic degradation systems are then studied in Dong et al, 27 while repairable systems, majority systems, complex systems and fault diagnosis are investigated in literature 28–31 to predict systems performances.…”

Section: Fundamentals Of a Spare Gatementioning

confidence: 99%

An investigation of reliability optimization in standby systems

Wang

Zhang

Lv³

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part O:

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Due to the limitations of space or extra costs incurred, the reliability optimization problem of a spare system is of great interest and importance. In this article, we devote our efforts into the investigation of reliability optimization problem of the warm spare gate and cold spare gate. For a spare gate with fixed components, we first examine the relationship between the component order and the corresponding reliability; then, the equivalence of a cascaded model with a multiple-input spare gate is further presented. We find that for a warm spare gate, the corresponding reliability value is anticipated to be affected by the adopted component replacing order; nevertheless, the reliability is a fixed value once the components are provided for a cold spare gate. This finding indicates that reliability is irrespective of the component order for a cold spare gate. Therefore, for the warm spare gate, the component order can be varied to improve the corresponding system reliability, whereas for the cold spare gate, we should attempt to improve the reliabilities of the spare components aiming to obtain a higher reliability. These findings are potentially useful in the design process of a system consisting of spare gates.

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“…Such systems can be modeled by multi-state systems which are more practical, ranging from perfect working to total failure. 8,9 In the present paper, we consider two situations in which the subsectors of the system all have the binarystate or the multi-state. In the binary-state situation, in order to maintain balance, some subsectors must be forced down.…”

Section: Introductionmentioning

confidence: 99%

“…Such systems can be modeled by multi-state systems which are more practical, ranging from perfect working to total failure. 8,9…”

Section: Introductionmentioning

confidence: 99%

Reliability evaluation of consecutive k-out-of-m: F balanced systems with a symmetry line

Chen

Cui

2021

Proceedings of the Institution of Mechanical Engineers, Part O:

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Based on some real backgrounds, a new balanced system structure, a consecutive k-out-of- m: F system with a symmetry line, is proposed in this paper. Considering different state numbers of a subsector, the new balanced system is analyzed under two situations respectively: the subsector with binary-state and the subsector with multi-state, while the multi-state balanced systems have not been studied in the previous research. Besides, two models are developed in terms of assumptions for the two situations, respectively. For this system, several methods, such as the finite Markov chain imbedding approach, the order statistics technique and the phase-type distributions, are used on the models. In addition to system reliability formulas, the means and variances of the system lifetimes under two models for different situations are given. Finally, numerical examples are presented to illustrate the results obtained in this paper.

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Reliability modeling for a discrete time multi-state system with random and dependent transition probabilities

Cited by 5 publications

References 42 publications

Data-Driven Maintenance Priority and Resilience Evaluation of Performance Loss in a Main Coolant System

Data-Driven Maintenance Priority and Resilience Evaluation of Performance Loss in a Main Coolant System

An investigation of reliability optimization in standby systems

Reliability evaluation of consecutive k-out-of-m: F balanced systems with a symmetry line

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