PROBABILISTIC ANALYSIS OF A SYSTEM CONSISTING OF TWO SUBSYSTEMS IN THE SERIES CONFIGURATION UNDER COPULA REPAIR APPROACH
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2020, v.27 no.3, pp.137-155
https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.3.137
Raghav, Dhruv
Pooni, P.K.
Gahlot, Monika
Singh, V.V.
Ayagi, Hamisu Ismail
Abdullahi, Ameer Hassan
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D.
, Pooni,,
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(2020). PROBABILISTIC ANALYSIS OF A SYSTEM CONSISTING OF TWO SUBSYSTEMS IN THE SERIES CONFIGURATION UNDER COPULA REPAIR APPROACH. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 27(3), 137-155, https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.3.137
Abstract
Redundancy is commonly employed to improve system reliability. In most situations, components in the standby configurations are assumed statistically similar but independent. In many realistic models, all parts in standby are not treated as identical as they have different failure possibilities. The operational structure of the system has subsystem-1 with five identical components working under 2-out-of-5: G; policy, and the subsystem-2 has two units and functioning under 1-out-of-2: G; policy. Failure rates of units of subsystems are constant and assumed to follow an exponential distribution. Computed results give a new aspect to the scientific community to adopt multi-dimension repair in the form of the copula.
- keywords
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repairable systems,
k-out-of-n: G system,
availability,
MTTF,
cost analysis,
Gumbel-Hougaard family copula distribution