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• W4225013617 endingPage "108549" @default.
• W4225013617 startingPage "108549" @default.
• W4225013617 abstract "Multi-state system models are more practical and valuable when describing complex engineering structures than binary-state system models. Modelling of linear consecutive-(k,l)-out-of-n: F systems with shared components under non-homogeneous Markov dependence is discussed in this work. The proposed model is an extension of both “consecutive-k-out-of-n: F system” and “consecutive-k-out-of-n: F system with shared components between adjacent subsystems”. All the components in the system are assumed to have three states and are non-homogeneous Markov-dependent. Using the method of sum of disjoint products (SDP), the system reliability formula is derived by summing the reliability values for all disjoint cases. The well-known finite Markov chain imbedding approach (FMCIA) is used for deriving the reliability formula for each disjoint case. For the special cases of systems with homogeneous Markov-dependent or independent components, the corresponding results are deduced. Finally, some numerical examples are presented to illustrate all the results developed here." @default.
• W4225013617 created "2022-04-29" @default.
• W4225013617 creator A5027508984 @default.
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• W4225013617 date "2022-08-01" @default.
• W4225013617 modified "2023-10-18" @default.
• W4225013617 title "Reliability of consecutive-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e5902 altimg=si136.svg><mml:mrow><mml:mo>(</mml:mo><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi>l</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>-out-of-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e5916 altimg=si137.svg><mml:mi>n</mml:mi></mml:math>: F systems with shared components under non-homogeneous Markov dependence" @default.
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• W4225013617 doi "https://doi.org/10.1016/j.ress.2022.108549" @default.
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