Title: Optimising network resilience: a comprehensive study on reliability modelling and performance analysis of computer network topologies

Authors: Ibrahim Yusuf; Abubakar Muhammad Hamza; Babangida Ibrahim Babura; U.A. Ali; Abdullahi Sanusi

Addresses: Department of Mathematical Sciences, Bayero University, Kano, Nigeria ' Department of Mathematics, Federal University, Dutse, Nigeria ' Department of Mathematics, Federal University, Dutse, Nigeria ' Department of Mathematics, Federal University, Dutse, Nigeria ' Department of Science, School of Continuing Education (SCE), Bayero University, Kano, Nigeria

Abstract: This study delves into the performance evaluation of a computer network's topology, comprising three interconnected subsystems under general repairs and copula-based repairs. The study leverages Laplace transforms, a powerful mathematical tool for solving partial differential equations, and incorporates additional variables to enhance the analytical framework. Solving these equations yielded crucial reliability metrics such as MTTF, system availability, and profit function. The objectives of the study are threefold: first is to develop expressions for reliability metrics, including availability, reliability, and mean time to failure, the second is to assess the overall reliability and performance of the computer network topology, ensuring that the system meets the required operational standards and performance benchmarks, and the third is to analyse the impact of time on the availability, reliability, and profit function. The results, presented in detailed tables and graphs, indicate that copula repair methods enhance the functionality of systems compared to traditional repair approaches.

Keywords: availability; reliability; performance; topology; mean time to failure; MTTF; computer network.

DOI: 10.1504/IJQET.2024.142223

International Journal of Quality Engineering and Technology, 2024 Vol.10 No.2, pp.177 - 201

Received: 15 Feb 2024
Accepted: 18 Jun 2024
Published online: 14 Oct 2024 *

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