Reliability of a repairable standby system with imperfect sensing and switching

Kececioglu, Dimitri; Jiang, SF

doi:10.1109/arms.1990.67967

Cited by 7 publications

(3 citation statements)

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“…Many kinds of warm standby systems have been studied using this approach. Some important examples include: 1-out-of-2:G systems with common cause failures and human errors [7], with imperfect sensing and switching [8], 2-out-of-5:G systems with common cause failures and replacements [9], k-out-of-n:G warm standby system with r repair facilities [10], [11], with balking and reneging components [12], with components with multiple failure modes [13], with unreliable repair facilities [14], warm standby systems with two nonidentical components and failure of switching [15], warm standby subsystems with two nonidentical components and in series connection with another subsystem [16]. In cases of nonexponential distributions, supplementary variable techniques [17]- [22] and PH distribution techniques [23], [24] can be used.…”

Section: A Related Workmentioning

confidence: 99%

Availability Modeling of Generalized $k$ -Out-of- $n$ :G Warm Standby Systems With PEPA

Xiao-yue

Hillston

Feng

2017

IEEE Trans. Syst. Man Cybern, Syst.

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Developing analytical availability models for k-outof-n:G warm standby repairable systems with many nonidentical components is tedious and error-prone, requiring specification of the generator matrix of a high dimensional Markov chain. Using the performance evaluation process algebra (PEPA) as an intermediary, this paper gives a new modeling approach for availability evaluation of such systems with r repair facilities. The components of the system are classified into n different groups that consist of statistically identical components following exponential time-to-failure and repair time distributions. A library of PEPA components and their actions are defined for system component groups, repair facilities, repair queue, and system dynamics. To capture the dependency of system states on components, a signaling mechanism is realized by actions with suitably high rates. A compilation tool is provided to automatically generate the PEPA model from a brief specification of the system, using the library components. This provides input for the PEPA analysis tool and is amenable to availability analysis. Examples are used to illustrate the proposed modeling method. Modeling with PEPA provides an efficient way to deal with availability evaluation of systems considered with many groups of repairable components.

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Section: A Related Workmentioning

confidence: 99%

Availability Modeling of Generalized $k$ -Out-of- $n$ :G Warm Standby Systems With PEPA

Xiao-yue

Hillston

Feng

2017

IEEE Trans. Syst. Man Cybern, Syst.

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“…Habib et al [22] presented a newly developed model; consecutive-(r,s)-out-of-(m,n):F lattice system.The reliability of systems with imperfect sensing and switching was studied by so many authors (Prakash [52], Nakagawa and Osaki [48], Keceiogulu and Jian [30], Mustafa [1], Chow [10]. The mean residual life functions of parallel and k-out-of-n:G system with non-identical components is studied by Selma Gurlur [62].…”

Section: K-out-of-n System With Different Types Of Componentsmentioning

confidence: 99%

Reliability Analysis of k-out-of-n: G System: A Short Review

Krishnan¹

2020

IJEAS

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“…Nowadays, reliability of system with sensor network have got great interest. Kececioglu and Jiang (1990) analyzed reliability of repairable standby system with imperfect sensing and switching. Somasundaram and Krishnan (2008a, b) have done the reliability analysis of five-component system with sensing device.…”

Section: Introductionmentioning

confidence: 99%

Reliability analysis of repairable consecutive‐k‐out‐of‐n: G systems with sensor and repairmen

Krishnan¹,

Somasundaram²

2011

International Journal of Quality &Amp; Reliability Management

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Purpose -The purpose of this paper is to study repairable consecutive-k-out-of-n: systems with r repairmen and a sensing device. Design/methodology/approach -The system can either be a circular C(k, n: G) system or a linear C(k, n: G) system. The working time and the repair time of each component in the system and the sensor detection time are exponentially distributed. Every component after repair is perfect. Each component is classified as either a key component, or an ordinary one according to its priority role to system's repair. A sensing device is introduced to detect the failure of each component in the system in advance and completion of repair of components. If the repair is completed, the sensor will send the component to standby according to its priority. The state transition probabilities of the system are derived using the definition of generalized transition probability. To obtain the reliability and availability Laplace transform techniques have been used. Findings -The Kolmogorov-Feller forward equations are derived for both linear and circular systems. Reliability and MTTF of both the systems are derived using Laplace transforms. Numerical examples are given in detail to demonstrate the theoretical results and these verify the validity of the studied system. Research limitations/implications -A consecutive-k-out-of-n system consists of a sequence of n-ordered components along a line or a circle such that the system is good if and only if at least k consecutive components in the system are good. Each component in the system is classified as key component or ordinary component according to its priority in system functioning. By using a sensing device the failure can be detected in advance. Originality/value -This study indicates that by using a sensing device we can detect the failure in advance. Thus, the reliability and MTTF of the system can be improved.

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Reliability of a repairable standby system with imperfect sensing and switching

Cited by 7 publications

References 0 publications

Availability Modeling of Generalized $k$ -Out-of- $n$ :G Warm Standby Systems With PEPA

Availability Modeling of Generalized $k$ -Out-of- $n$ :G Warm Standby Systems With PEPA

Reliability Analysis of k-out-of-n: G System: A Short Review

Reliability analysis of repairable consecutive‐k‐out‐of‐n: G systems with sensor and repairmen

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