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Reliability modelling and analysis of client–server system using Gumbel–Hougaard family copula

机译：可靠性建模与分析客户机-服务器系统使用Gumbel-Hougaard家庭连系动词

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摘要

Abstract The present paper deals with the reliability analysis of a computer network system as series parallel system consisting of two subsystems. Subsystem I consist of four homogeneous clients while subsystem II consist of two homogeneous servers. Both clients and servers have exponential failure whereas repairs follow two types of distributions that are general and Gumbel–Hougaard family copula. The network under consideration has three states: normal, partial failure state and complete failure state. From the transition diagram, the system of first-order partial differential equations is derived and solved using a supplementary variable technique and Laplace transforms. The system is analyzed using Laplace transforms to solve the mathematical equations. The results obtained are presented in tables and graphs. Some important measures of reliability such as availability of system, reliability of the system, MTTF, sensitivity and cost analysis have been discussed. Some particular cases have also been derived and examined to see the practical effect of the model.
机译：摘要本文处理计算机网络系统的可靠性分析串并联系统组成的两个子系统。齐次二世由客户而子系统两个同构服务器。指数失败而维修跟进两种类型的分布一般Gumbel-Hougaard家庭连系动词。考虑有三种状态:正常、部分故障状态和完整的故障状态。转换图,系统一阶偏微分方程推导使用一个辅助变量技术解决和拉普拉斯变换。利用拉普拉斯变换来解决数学方程。提出了表和图。可靠性可用性等措施系统,系统的可靠性、MTTF敏感性和成本分析进行了讨论。派生和检查看到实际效果的模型。

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