Title: Integrating durability and fault tolerance in heterogeneous distributed systems: an extensive copula-based study of server-client architectures reliability and performance

Authors: Ibrahim Yusuf; Ismail Tukur

Addresses: Department of Mathematical Sciences, Bayero University, Kano, Nigeria ' Department of Art and Humanities, Kano State Polytechnic, Kano, Nigeria

Abstract: This study delves into the investigation of reliability and performance metrics, specifically focusing on availability, reliability, mean time to failure (MTTF), sensitivity, and cost analysis. The system under study is a tree-topology computer networking system, comprising five subsystems labeled A, B, C, D, and E, which are configured in a series-parallel. The system is prone to two types of failures: complete failure and degraded failure. The study employs the Laplace transform and supplementary variables techniques. These methods are utilised to derive explicit expressions for key metrics: availability, reliability, MTTF, sensitivity, and the cost function. The results are illustrated in tables and graphs. Reliability personnel can enhance their strategies to improve system dependability, maintenance managers can better plan maintenance schedules, and engineers can gain a deeper understanding of system performance dynamics. Through this comprehensive investigation, the study contributes valuable knowledge to the fields of reliability engineering and network system performance analysis.

Keywords: durability; resilience; robustness; adaptability; metrics.

DOI: 10.1504/IJMMNO.2024.143847

International Journal of Mathematical Modelling and Numerical Optimisation, 2024 Vol.14 No.3/4, pp.168 - 191

Received: 18 Oct 2023
Accepted: 29 Sep 2024
Published online: 10 Jan 2025 *

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