Title: Reliability analysis of (n) clients system under star topology and copula linguistic approach

Authors: Vijay Vir Singh; Monika Gahlot

Addresses: Department of Mathematics, Yusuf Maitama Sule University, Kano, Nigeria ' Department of Mathematics, Mewar University, Chittorgarh, Rajasthan, India

Abstract: This paper contrasts with the study of a computer laboratory system with n clients under star topology and k-out-of-n: G scheme. The system has two servers, one is operational and another a redundant server. The main server connects the clients, and failure of the main server acknowledge as a partial failure. The system also has another needed device such as switch and router, and failure in switch and router brings the system in the entire failed situation. The main server bears a partial failure, and the redundant server before the repair of the main server brings the system in a completely failed state. The failure rates of transmuting one state to another state are constant and presume to follow an exponential time distribution. The repairs follow two types of distributions the system analysed by employing the supplementary variable and the Laplace transform. The various traditional measures of system performance through reliability context have computed for different types of failures and repair. Some computations reliability parameters corresponding to assumed values of parameters has illustrated as examples.

Keywords: availability; mean time to system failure; MTSF; switch failure; server failure; router failure; Gumbel-Hougaard family copula distribution.

DOI: 10.1504/IJCSYSE.2021.113261

International Journal of Computational Systems Engineering, 2021 Vol.6 No.3, pp.123 - 133

Received: 13 Jun 2020
Accepted: 09 Aug 2020

Published online: 25 Feb 2021 *

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