Title: Stochastic analysis of delayed reporting of faults in a computer network using copula distribution

Authors: Praveen Kumar Poonia; Vijay Vir Singh

Addresses: Department of General Requirements, University of Technology and Applied Sciences, Ibri College of Applied Sciences, Ibri, Oman ' Department of Mathematics, Yusuf Maitama Sule University, Kofar Nassarawa, Kano State, Nigeria

Abstract: The objective of this paper is to study the system reliability of a computer network incorporating delayed reporting of non-fatal faults. We divided the network into four subsystems that includes router, gateway switch, two identical load balancers, and n similar application or web servers working under k-out-of-n: G policy with standby arrangement and all are connected in series. This mathematical model uses a significant feature of load balancing combining delayed reporting of non-fatal faults in a computer network under catastrophic failure by assuming two different forms of failure between neighbouring transitions from which the designed system's behavioural analysis can be examined. The paper aims to find various reliability characteristics using supplementary variable technique and Laplace transformation with the implications of Gumbel-Hougaard family of copula distribution. The study shows a significant improvement in availability and expected cost while we ensured with the use of copula repair.

Keywords: k-out-of-n: G system; load balancer; router; catastrophic failure; Gumbel-Hougaard family copula distribution; delayed reporting; supplementary variable technique.

DOI: 10.1504/IJQET.2023.131551

International Journal of Quality Engineering and Technology, 2023 Vol.9 No.2, pp.161 - 182

Received: 19 Jul 2021
Accepted: 31 May 2022
Published online: 19 Jun 2023 *

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