Title: Performance analysis of client-server distributed system using Gumbel-Hougaard family Copula

Authors: Ibrahim Yusuf; Abdullahi Sanusi; Alhassan Ibrahim

Addresses: Department of Mathematical Sciences, Bayero University, Kano, Kano State, Nigeria ' Department of Science, School of Continuing Education, Bayero University, Kano, Kano State, Nigeria ' Department of Science, School of Continuing Education, Bayero University, Kano, Kano State, Nigeria

Abstract: The current paper compares the performance of two distinct client-server distributed system architectures using the capabilities of the Gumbel-Hougaard Family Copula. Using the Gumbel-Hougaard Family Copula, this paper presents a comprehensive comparative analysis of the performance of two distinct client-server distributed system architectures. The first architecture consists of three identical clients, a load balancer and three identical servers, whereas the second employs a three-component warm standby system with imperfect switching. The failure and repair patterns in both systems are exponential. The analysis entails using supplementary variable technique and Laplace transforms to solve first-order differential equations derived from transition diagrams for each system. While failures are distributed exponentially, repair times are represented by the versatile Gumbel-Hougaard Family Copula and a general distribution. The study considers various parametric values to evaluate various reliability metrics such as system availability, system reliability, Mean Time To Failure (MTTF), MTTF sensitivity and cost function. The findings are presented in the form of tables and figures, which provide a clear visual representation of the obtained insights.

Keywords: architecture; client-server; distributed system; Gumbel-Hougaard; performance; reliability.

DOI: 10.1504/IJRS.2024.139200

International Journal of Reliability and Safety, 2024 Vol.18 No.1, pp.19 - 54

Received: 16 Nov 2022
Accepted: 22 Oct 2023
Published online: 25 Jun 2024 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article