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Dependability prediction of a hybrid multi client computer networking system using Gumbel-Hougaard family copula

Author

Listed:
  • Abubakar Bawa Zarogi
  • Abdulkareem Lado Ismail
  • Nura Jibrin Fagge

Abstract

This paper presents a Markov model of a computer networking system. It consists of four subsystems: z client, router, load balancer, and two distributed data-based servers. They are arranged in a series-parallel configuration and integrated with a switch. The paper research objectives include evaluating the system for various dependability metrics and to see the effect of the repairs. Unit failure is presumed to be continuous and follows exponential distribution, and two repairs are available: general repair addresses partially failed states while copula repair addresses the system failure. The derived equations are studied utilising supplementary variables techniques and Laplace conversion procedures in order to obtain dependability metrics expressions such as reliability, availability, MTTF, sensitivity, and costs. The results were justified using numerical examples and presented in the tables and figures. It was observed that copula repair produces better outcomes than general repair and therefore is recommended for optimal performance of the system.

Suggested Citation

  • Abubakar Bawa Zarogi & Abdulkareem Lado Ismail & Nura Jibrin Fagge, 2024. "Dependability prediction of a hybrid multi client computer networking system using Gumbel-Hougaard family copula," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 27(4), pages 509-530.
    • Handle: RePEc:ids:ijmore:v:27:y:2024:i:4:p:509-530
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