1. Reliability Analysis of Multi-Workstation Computer Network Configured as Series-Parallel System via Gumbel - Hougaard Family Copula.
- Author
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Isa, Muhammad Salihu, Yusuf, Ibrahim, Ali, U. A., Suleiman, Kabiru, Yusuf, Bashir, and Ismail, Abdul Kareem Lado
- Subjects
COMPUTER systems ,MATHEMATICAL models ,CONSUMPTION (Economics) ,COMPUTER software ,HOLDING cost - Abstract
The purpose of this paper is to investigate the dependability of a computer system composed of four workstations, three hubs and two routers. Subsystem 1 consists of workstations A
1 , A2 , A3 , and A4 that are parallel and linked to Subsystem 2 (hubs B1 , B2 and B3 ), while Subsystem 3 router consists of C1 and C2 that are also parallel to each other. Each subsystem is assigned a human operator (H1 , H2 , and H3 ). To assess the system's reliability, a system of first order partial differential equations is derived from the system's transition diagram and solved using the supplementary variables technique and Laplace transforms. It is assumed that workstation, hub, and router failure times follow an exponential distribution, whereas repair times follow a general distribution and the Gumbel-Hougaard family copula distribution. Reliability measures of testing system effectiveness, such as reliability, availability, MTTF, and cost function, are developed and investigated. Tables and graphs show some of the most important findings. [ABSTRACT FROM AUTHOR]- Published
- 2022
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