Performance Analysis of Complex Series Parallel Computer Network with Transparent Bridge Using Copula Distribution

Isa, Muhammad Salihu; Abubakar, Muhammad Idris; Ibrahim, Kabiru Hamis; Yusuf, Ibrahim; Tukur, Ismail

doi:10.30699/IJRRS.4.1.7

Performance Analysis of Complex Series Parallel Computer Network with Transparent Bridge Using Copula Distribution

Document Type : Original Research Article

Authors

Muhammad Salihu Isa ¹

Muhammad Idris Abubakar ²

Kabiru Hamis Ibrahim ³

Ibrahim Yusuf ⁴

Ismail Tukur ⁵

¹ Department of Mathematics, Federal University Dutse

² Department of Mathematics, Federal College of Education (Tech.), Bichi, Kano

³ Department of Mathematics, Aminu Kano College of Islamic and Legal Studies, Kano

⁴ Bayero University, Kano, Nigeria

⁵ Department of Mathematics, Kano State Polytechnic, Kano, Nigeria

10.30699/IJRRS.4.1.7

Abstract

A network bridge is a computer networking device that creates a single aggregate network from multiple communication network or network segments. One of the type of network bridge is transparent bridge saddle with responsibility of checking incoming network traffic to identify media access control addresses. In this present research work on series parallel computer network performance, availability and cost analysis of complex computer network was considered to focus on a network that has four subsystems A, B, C and D and all the subsystems are arranged in series-parallel, subsystem A and B are working on 1-out-of-2: G and 2-out-of-3: F policy respectively, C subsystem behaved as a bridge with one unit and D subsystem has five units and are working in 3-out-of-5: G scheme. The system has two types of failure, degraded (partial failure) or complete failed states. The system was analyzed using supplementary variables techniques and Laplace transform, general distribution and copula family were employed to restore the partial failure and complete failure states. Computed results have been highlighted by the means of tables and graphs to investigate the performance of computer network. The result has shown that computer network with transparent bridge will be more reliable to filter incoming frame and forward it to media access control (MAC).

Keywords

Availability

Reliability

Sensitivity

Mean time to failure (MTTF)

Gumbel-Hougaard family

Cost Analysis

Subjects

Reliability Engineering

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