Cost analysis of a repairable warm standby k-out-of-n: G and 2-out-of-4: G systems in series configuration under catastrophic failure using copula repair

Lz‐transform approach to evaluate reliability indices of multi‐state repairable weighted K‐out‐of‐n systems

“…investigated the covariance and reliability of weighted K ‐out‐of‐ n MSSs. Recently, the coupla approach has been used in reliability estimation of repairable k ‐out‐of‐ n systems 10–14 . In general, UGF technique and recursive methods are used to estimate reliability indices of weighted system.…”

“…Recently, the coupla approach has been used in reliability estimation of repairable k-out-of-n systems. [10][11][12][13][14] In general, UGF technique and recursive methods are used to estimate reliability indices of weighted system. Further, in the aforementioned research work, the system considered were binary systems.…”

“…)), 𝐿 𝑧 (𝐺 2(2)), 𝐿 𝑧 (𝐺 3 (2))} = Ω 𝑓 ((𝑝13 (2)𝑧 1000 + (𝑝12 (2) + 𝑝 11 (2))𝑧 0 ), (𝑝 13 (2)𝑧 1000 + (𝑝 12(2) + 𝑝 11 (2))𝑧 0 ), (𝑝 33 (2)𝑧 1500 + 𝑝 32 (2)𝑧 900 + 𝑝 31 (2)𝑧 0 ))…”

Performance Modeling and Estimation of Serial System Exhibiting k-out-of-n: G Scheme with Controller Failure

“…Pant et al [13] investigated the cost rate and availability for a maintained k-out-of-n: G system that encounters numerous failure modes and undergoes routine inspection. In order to support decision-making in the preventive maintenance for unmanned underwater vehicles to monitor the condition of a subsea pipeline, Rykov et al [15] demonstrated the feasibility of using a mathematical model of a k-out-of-nsystem. Rykov et al [16] looked at the reliability properties of a k-out-of-n: F system in the scenario where a component failure increases the load on other components, lowering their residual lifetimes.…”

“…Yusuf et al [27] examined a system with five clients and two servers as subsystems 1 and 2 under the k-out-of-n: G and discussed the consequences of copula repairs. Poonia et al [15] used the copula repair approach to examine the performance of a warm standby k-out-of-n: G and 2-out-of-4: G system. Singh et al [22] reported a reliability assessment of a multi-computer system with n clients and the k-out-of-n: G operation scheme with copula repair policy.To analyze the availability of the butteroil production system, Mehta et al [31] developed a mathematical model that took into account the reliability of each subsystem and the system as a whole.…”