Performance Assessment and Sensitivity Analysis of a Computer Lab Network Through Copula Repair with Catastrophic Failure

Abstract

The advent of copula distribution by Gumhel-Hougaard family spurred a new direction of research in multi-state complex engineering systems and is widely applied in various series-parallel systems. Considering this aspect, in this paper we study various reliability measures of a complex system consisting of eight identical computer labs as star topology working under 5-out-of-8: G policy, two different centralized data base servers working under 1-out-of-2: G policy, and a switch in series configuration. Failure rates of all the units are assumed to be constant and follow exponential distribution, while repair supports general distribution and copula distribution. The objective of this paper is to evaluate availability of the system, reliability of the system, mean time to failure and expected profit analysis by choosing arbitrary values of the parameters in a way that numerical solutions can be obtained systematically in a reasonable computational time. The problem is modelled using supplementary variable technique, Laplace transform and copula repair. We highlight the use of copula repair, while identifying the factors for improvement and future directions of work.

Linear Consecutive-k-out-of-n: G System Reliability Analysis

“…If k = 1 and n, a k-out-of-n: G system reduces to parallel and series systems, respectively. Linton and Saw (1974), Gupta and Goyal (1992), Singh and Dayal (1991), Mishra and Jain (2013), Wu et al (2014), Kumar (2014, 2015), Singh and Poonia (2022), Poonia (2022) and have used SVT to develop stochastic models to evaluate the reliability of k-out-of-n: G/F systems. These studies have addressed various situations, such as different types of failures (common cause, human, partial, catastrophic), repairs and maintenance strategies.…”