Reliability analysis of k-out-of-n load-sharing systems

Amari, Suprasad V.; Bergman, Robert D.

doi:10.1109/rams.2008.4925836

Cited by 54 publications

(43 citation statements)

References 10 publications

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“…Amari et al [3] provided a closed-form analytical solution for the reliability of tampered failure rate load-sharing k-out-of-n: G systems with identical components, where all surviving components equally share the total system load. Several other models can be found in [1,2,23,31]. Wang and Fei [31] studied the conditions for the coincidence of TFR, tampered random variable (TRV) and cumulative effect (CE) models.…”

Section: Tfr Model For An Exactly K-out-n: F Systemmentioning

confidence: 99%

“…If the functional components are never maintained at the end of each phase, meaning that the system failure rate depends on the pre-sciENcE aNd tEchNology vious phases, we can use the effective age of the systems [1] in the reliability evaluation. However, this evaluation is beyond the scope of this paper, and we will only provide a brief discussion.…”

Section: R K N T T T Kmentioning

confidence: 99%

“…Consider an execution sequence K sc =[k sc1 ,k sc2 ,…,k scM ] and k r =min{k sci }, r>1. According to the discussion in section 3.1, the corresponding actual k-values K m can be expressed as ( 1) [ , , , ,…”

Section: The Durations Of Phases Are Constantmentioning

confidence: 99%

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Reliability analysis and optimization of equal load-sharing k-out-of-n phased-mission systems

Chen¹,

He²,

Wei³

2015

Eksploatacja i Niezawodnosc - Maintenance and Reliability

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Reliability analysis and optimization of equal load-shaRing k-out-of-n phased-mission systems analiza niezawodności oRaz optymalizacja systemów fazowych typu "k z n" o Równym podziale obciążenia elementów składowychThere are many studies on k-out-of-n systems, load-sharing systems (LSS) Słowa kluczowe: Właściwa ścieżka uszkodzeń (AFP), algorytm genetyczny (GA), system fazowy (o zadaniach okresowych) (PMS), Model manipulowanej intensywności uszkodzeń (TFR), Uniwersalna funkcja tworząca (UGF).

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Section: Tfr Model For An Exactly K-out-n: F Systemmentioning

confidence: 99%

Section: R K N T T T Kmentioning

confidence: 99%

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Reliability analysis and optimization of equal load-sharing k-out-of-n phased-mission systems

Chen¹,

He²,

Wei³

2015

Eksploatacja i Niezawodnosc - Maintenance and Reliability

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“…Thus, q j (h) = Pr{g j (h) = 0|g j (h − 1) = 1} and p j (h) = 1 − q j (h) represent the conditional unreliability and reliability of element j at phase h given its working at the beginning of the phase, respectively. As discussed in (Levitin, Xing, and Amari 2012;, based on the cumulative exposure model (CEM) that considers the impact of phase-dependent stress on elements' failure properties (Amari and Bergman 2008;Amari, Misra, and Pham 2008), q j (h) and p j (h) can be, respectively, calculated as:…”

Section: Problem Formulationmentioning

confidence: 99%

Optimal elements separation in non-repairable phased-mission systems

Levitin

Xing

Amari

2014

International Journal of General Systems

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Enhancement of the survivability of a system can be achieved by separating its elements. Since different elements can play different roles in fulfilling the system mission, the way in which they are separated strongly affects the achieved level of the mission survivability. Thus, the optimal separation problem arises. This paper formulates a new problem of optimal element separation in non-repairable phased-mission systems (PMSs) where the mission consists of multiple, consecutive and non-overlapping phases of operation. An accurate survivability analysis of a PMS must consider the statistical dependence of element states across phases as well as dynamics in system structure function and element failure behaviour. We suggest a method for finding the separation of the system elements that provides a maximal possible level of the PMS survivability while satisfying a certain separation cost constraint. A backward recursion algorithm is applied for determining the survivability of a vulnerable PMS. A genetic algorithm is used as an optimization tool in solving the newly formulated separation problem for PMSs.

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“…In other words, it is assumed that the failure of a component does not affect the failure properties (failure rates) of the remaining components. In the real world, however, many systems are load-sharing, which makes the assumption of independence invalid [7,8]. In a load-sharing system (LSS), if a component fails, the same workload is shared by the remaining components, resulting in an increased load on each surviving component.…”

Section: Introductionmentioning

confidence: 99%

Reliability evaluation of phased-mission systems with load-sharing components

Mohammad

Kalam

Amari

2012

2012 Proceedings Annual Reliability and Maintainability Symposium

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Many real world systems operate in phased-missions where the reliability structure varies over consecutive time periods, known as phases. For mission success, all phases must be completed without failure. During each mission phase, the system or its subsystems may be subject to different loads (stresses) and environmental conditions. Therefore, the failure (hazard) rate of components can change with phases due to the phase-dependent variations in the loads. In addition, in the majority of applications, the subsystems within a system operate in a load-sharing configuration where the total load on a subsystem is shared by all of its working components. Therefore, upon a failure of a component within a subsystem, the load on the surviving components increases. This in turn induces higher component failure rates, which introduces complex dynamic dependencies among the load-sharing components. Further complicating the analysis are statistical dependencies across the phases for a given component. For example, the state of a component at the beginning of a new phase is identical to its state at the end of the previous phase. The consideration of these dynamic dependencies poses unique challenges to existing reliability evaluation algorithms. In this paper, we propose an efficient recursive algorithm for reliability evaluation of phased-mission systems with loadsharing components. In the analysis, we considered multiple subsystems where each subsystem can have multiple loadsharing components. The proposed algorithm is developed based on: (1) a modularization technique, (2) an easily computable closed-form expression for conditional reliability of load-sharing subsystems, and (3) a recursive formula for the reliabilities of subsystems across the phases. The reliability evaluation algorithm is illustrated using an example.

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Reliability analysis of k-out-of-n load-sharing systems

Cited by 54 publications

References 10 publications

Reliability analysis and optimization of equal load-sharing k-out-of-n phased-mission systems

Reliability analysis and optimization of equal load-sharing k-out-of-n phased-mission systems

Optimal elements separation in non-repairable phased-mission systems

Reliability evaluation of phased-mission systems with load-sharing components

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