Performance Assessment of Complex Repairable System Comprising Two Subsystems in a Series Configuration using Copula Repair Strategy

International Journal of Mathematics Trends and Technology (IJMTT)
© 2022 by IJMTT Journal
Volume-68 Issue-6
Year of Publication : 2022
Authors : Monika, Indukala Tripathi, V. V. Singh

How to Cite?

Monika, Indukala Tripathi, V. V. Singh, " Performance Assessment of complex repairable system comprising two subsystems in a series configuration using copula repair strategy ," International Journal of Mathematics Trends and Technology, vol. 68, no. 6, pp. 33-44, 2022. Crossref,

This paper discusses the reliability analysis of a complex system comprising two subsystems in series configuration together with the switching and human failure. The two subsystems, consist of three identical units in a parallel arrangement and functioning under 1-out-of-3: G operational policy. Switch work is to transfer a load of the failed unit to a new operative unit in both subsystems. The system may have an unforeseeable human failure due to which the system may cause a complete failed state. The failure rate of the units is constant and follows the exponential distribution. The two kinds of repair namely general repair and Gumbel-Hougaard copula repair are used to restore the present failed units and entire subsystem. Using Stochastic theory, differential equations, and supplementary variable approach essential features of reliability such as availability of the system, reliability of the system, MTTF, and profit analysis. It brings a different aspect to the research world to adopt multi-dimensional repair in the form of the copula. In addition, the findings of the model are useful for system engineers and maintenance managers.

Keywords : k-out-of-n: G/F type of redundant system, Availability, Reliability, MTTF, Switching failure, Human failure, Gumbel-Hougaard family copula distribution.


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