Reliability modeling for repairable circular consecutive-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e2254" altimg="si244.svg"><mml:mi>k</mml:mi></mml:math>-out-of-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e2259" altimg="si245.svg"><mml:mi>n</mml:mi></mml:math>: F systems with retrial feature

Li, Mingjia; Hu, Linmin; Peng, Rui; Bai, Zhuoxin

doi:10.1016/j.ress.2021.107957

Cited by 18 publications

(2 citation statements)

References 33 publications

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“…According to the transition probability for consecutive systems proposed in literature [29], we have…”

Section: System State Analysismentioning

confidence: 99%

Reliability assessment for consecutive-k-out-of-n: F retrial systems under Poisson shocks

et al. 2023

Applied Mathematics and Computation

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“…According to the transition probability for consecutive systems proposed in literature [29], we have…”

Section: System State Analysismentioning

confidence: 99%

Reliability assessment for consecutive-k-out-of-n: F retrial systems under Poisson shocks

et al. 2023

Applied Mathematics and Computation

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“…Consecutive-k-out-of-n (Con/k/n) system is arranged in a line consisting of n ordered components, involving the F system and G system, and the F(G) system fails(works) if and only if at least consecutive k components fail (work). Con/k/n system is widely used in quality control systems [21], flow transfer systems [40], sensor detection systems [16], production monitoring systems (PMS) [36], communication systems [17], performance-sharing heating systems [38], and other applications [29]. Moreover, Con/k/n systems are reconfigurable systems whose performance can be improved by changing components' positions, adding redundant components, or replacing components, which gives Con/k/n systems a more flexible way to protect against external risks.…”

Section: Introductionmentioning

confidence: 99%

Defensive strategy optimization of consecutive-k-out-of-n systems under deterministic external risks

Zhao¹,

Zhang²,

Xu³

et al. 2022

Eksploatacja i Niezawodność – Maintenance and Reliability

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Consecutive-k-out-of-n (Con/k/n) system, a reconfigurable system, can improve the system performance by adjusting the redundancy and assignment of components. This paper aims to determine the optimal defensive strategy of Con/k/n systems under external risks. The defensive capability of Con/k/n systems is evaluated based on real-time system reliability, and a defensive importance measure (DIM) is constructed to optimize components’ redundancy locally. To solve the proposed optimization model effectively, a DIM-based genetic algorithm (DIGA) is developed by integrating the advantages of DIM’s local search with the global search ability of the classical genetic algorithm (CGA). The numerical experiment under 36 scenarios illustrates that DIGA is more effective than CGA verified by average defensive capability, robustness, and convergence generations. Moreover, the redundancy distribution analysis of Con/k/5 systems in the optimal defensive strategy shows that the redundancy of F(G) systems is in a spaced (continuous) way under spacing k-1 risk or continuous k risk.

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Reliability and Optimization for k-out-of-n: G Mixed Standby Retrial System with Dependency and J-Vacation

Shao,

Hu,

2024

Methodol Comput Appl Probab

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Reliability modeling for repairable circular consecutive-k-out-of-n: F systems with retrial feature

Cited by 18 publications

References 33 publications

Reliability assessment for consecutive-k-out-of-n: F retrial systems under Poisson shocks

Reliability assessment for consecutive-k-out-of-n: F retrial systems under Poisson shocks

Defensive strategy optimization of consecutive-k-out-of-n systems under deterministic external risks

Reliability and Optimization for k-out-of-n: G Mixed Standby Retrial System with Dependency and J-Vacation

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