RELIABILITY ANALYSIS OF MULTI-WORKSTATION COMPUTER NETWORK CONFIGURED AS SERIES-PARALLEL SYSTEM VIA GUMBEL - HOUGAARD FAMILY COPULA

International Journal of Operations Research

article

Muhammad Salihu Isa¹  Ibrahim Yusuf²  U. A Ali¹  Kabiru Suleiman³  Bashir Yusuf¹  Abdul Kareem Lado Ismail⁴ 

[1] Department of Mathematics, Federal University Dutse;Department of Mathematical Sciences, Bayero University;Department of Mathematics, Yusuf Maitama Sule University Kano;Department of Mathematics, Kano State College of Education

关键词: Reliability;    network;    series-parallel;    computer;    workstation;    Gumbel-Hougaard family copula;    hub androuters.;   

DOI  :  10.6886/IOR.202203 19(1).0002

学科分类：数学（综合）

来源: Operations research society of Taiwan

【 摘 要 】

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 A1, A2, A3, and A4 that are parallel andlinked to Subsystem 2 (hubs B1, B2 and B3), while Subsystem 3 router consists of C1 and C2 that are also parallelto each other. Each subsystem is assigned a human operator (H1, H2, and H3). To assess the system’s reliability, asystem of first order partial differential equations is derived from the system’s transition diagram and solved using thesupplementary variables technique and Laplace transforms. It is assumed that workstation, hub, and router failure timesfollow an exponential distribution, whereas repair times follow a general distribution and the Gumbel-Hougaard familycopula distribution. Reliability measures of testing system effectiveness, such as reliability, availability, MTTF, and costfunction, are developed and investigated. Tables and graphs show some of the most important findings.

【 授权许可】

CC BY