Effect of Copula and Fault tolerance factor on  Availability of the system

Author(s)	Dr. M. Gayathri
Country	India
Abstract	In this paper we discuss the effect of Copula and Fault tolerance factor on Availability of the system consists of nine states and each state contains two subsystems A and B. Both subsystems contain two units which are similar. The units of the subsystem either in the condition of working or failed due to hardware failure, human error, Catastrophic failure, Common cause failure. Expressions for availability of the system is evaluated under different conditions. With the help of these numerical calculations and graphs are also developed.
Keywords	System, Availability, Copula, Fault tolerant factor, Failure, Gumbel-Hougaard family copula
Field	Mathematics
Published In	Volume 8, Issue 2, March-April 2026
Published On	2026-03-05
DOI	https://doi.org/10.36948/ijfmr.2026.v08i02.87737

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