PERFORMANCE ANAYSIS OF COMPLEX SERIES PARALLEL COMPUTER NETWORK WITH TRANSPARENT BRIDGE USING COPULA DISTRIBUTION

Document Type : Original Article

Authors

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

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

Abstract

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 are employed to restore the partial failure and complete failure states. Computed results have been highlighted by the means of tables and graphs.

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Articles in Press, Accepted Manuscript
Available Online from 20 September 2021
  • Receive Date: 03 July 2021
  • Revise Date: 21 July 2021
  • Accept Date: 20 September 2021