A k-out-of-N:G redundant system with cold standby units and common-cause failures

Chung, Who Keé

doi:10.1016/0026-2714(84)90218-x

Cited by 20 publications

(2 citation statements)

References 8 publications

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“…So, to get the settled goal of production, it must be tried to keep the system free from all types of defect. Many researchers have published the work for the failure time analysis of k-out-of-n system with cold standby units, either in application context that allows repair [5,7,9,12,20] and [29] or where repair is not possible [8,17,28] and [31]. Pham et al [24] presented a model for predicting the reliability of k-out-of-n:G systems, assuming that the components were subject to several stages of degradation as well as catastrophic failures.…”

Section: Introductionmentioning

confidence: 99%

Performability analysis of a system under 1-out-of-2:G scheme with perfect reworking

Ram

Kumar

2014

J Braz. Soc. Mech. Sci. Eng.

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In safety critical applications, it becomes common to improve the reliability through k-out-of-n redundancy. In this research, the authors have presented an analytical approach to compute the reliability measures of a system, which contains a mixed configuration. The system consists of three subsystems, namely A, B and C, connected in mixed configurations (i.e. combination of series and parallel configuration). Subsystem A is of the type 1-out of-2:G. Subsystem A is connected to subsystem B in a parallel configuration and these two subsystems are connected in series configuration with subsystem C. The considered system has three states, namely, good, degraded and failed. Markov process, supplementary variable technique and Laplace transformation have been used for solution and reliability measures like availability, reliability, mean time to failure, sensitivity analysis and cost-effectiveness have been evaluated of the considered system.

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Section: Introductionmentioning

confidence: 99%

Performability analysis of a system under 1-out-of-2:G scheme with perfect reworking

Ram

Kumar

2014

J Braz. Soc. Mech. Sci. Eng.

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“…A k ‐out‐of‐ n system with cold standby components has been studied by many researchers (see Gurov et al ., Pandey et al ., Moghaddass and Zuo, and Wang and Loman) . Chung considered a k ‐out‐of‐ n system with common‐cause failures, and Levitin and Amari gave a fast approximation algorithm to compute the reliability of the system. Amari considered the balance of the system failure cost and the cost of spare components.…”

Section: Introductionmentioning

confidence: 99%

Optimizing the Periodic Inspection Interval for a 1‐out‐of‐2 Cold Standby System Using the Delay‐Time Concept

Wang

Yang³

et al. 2012

Quality & Reliability Eng

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In this article, we deal with a 1‐out‐of‐2 system with a cold‐standby component. The failure process of these two components is statistically identical and characterized by the delay‐time concept, which divides the component's life into a two‐stage process with a normal stage from new to a defect initiation point and a following failure delay stage from this point to failure. A fixed interval periodic inspection is carried out to check whether the working component is defective or not. If a defect is identified, the working component is shut down and sent to be repaired. The repair shop capacity is limited for repairing one component only. If the repair shop is occupied by the standby component (under repair) when the working one is failed, the system is shut down. There are five scenarios of the state of the system at an inspection epoch, which are derived analytically. The expected total cost per unit time of the system consists of the expected cost caused by preventive repair, unplanned failure repair, and system downtime. In this article, these three costs are determined and the optimal inspection interval with respect to the minimum of the expected total cost per unit time is found. To incorporate a nonexponential distribution for the normal time, delay stages, and repair time of the components, the elapsed time in the normal time, delay stages, and repair time at inspection is taken into consideration. A stationary distribution of the elapsed time exists, and it is calculated by an iteration method. Copyright © 2012 John Wiley & Sons, Ltd.

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Reliability Prediction of Repairable Redundant System with Imperfect Switching and Repair

Jain

2015

Arab J Sci Eng

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A k-out-of-N:G redundant system with cold standby units and common-cause failures

Cited by 20 publications

References 8 publications

Performability analysis of a system under 1-out-of-2:G scheme with perfect reworking

Performability analysis of a system under 1-out-of-2:G scheme with perfect reworking

Optimizing the Periodic Inspection Interval for a 1‐out‐of‐2 Cold Standby System Using the Delay‐Time Concept

Reliability Prediction of Repairable Redundant System with Imperfect Switching and Repair

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