Performance Analysis of Multi-computer System Consisting of Three Subsystems in Series Configuration Using Copula Repair Policy

Abstract

The present paper discuss the reliability characteristics of computer network system consisting of the devices load balancer, distributed database servers and a centralized server configured as series parallel system containing three subsystems. Subsystem 1: load balancer (LB) a device that act as a medium of channeling request to servers and receiving request or response from servers. Subsystem 2: identical distributed database servers (DDS) I, II and III connected in parallel, working under 2-out-of-3: G: policy, which manages and store some part of application data and Subsystem 3: centralized distributed database server (CDDS), which takes care of all the application data in DDS. Through the transition diagram, system of firstorder partial differential equations are derived and solved using supplementary variable techniques, Laplace transforms and copula method. All failures are assumed to be exponentially distributed, whereas repairs follow two types of distributions; general distribution and Gumbel-Hougaard family copula, partial failures are repaired by general distribution while complete failures are repaired by copula distribution. The objective is to obtain the expressions for availability, reliability, mean time to failure (MTTF) and cost function. Computations for reliability measures are taken as particular case by evaluating: reliability, availability, MTTF and cost analysis, so as to capture the effect of both failure and repair rates to reliability measures. The results of the computations are presented in tables and graphs. The analysis of the results obtained with respect to the availability and expected profit indicates that copula repair policy is reliable than general repair policy.

Markov Modeling and Reliability analysis of solar photovoltaic system Using Gumbel Hougaard Family Copula

“…Singh et al [11] studied the Performance analysis of a complex repairable system with two subsystems in a series configuration with an imperfect switch. Yusuf et al [12] studied the Performance Analysis of Multi-computer System Consisting of Three Subsystems in Series Configuration Using Copula Repair Policy. Raghav [13] studied the Reliability Prediction of Distributed System with Homogeneity in Software and Server using Joint Probability Distribution via Copula Approach.…”

Reliability Analysis of Multi-Hardware–Software System with Failure Interaction

“…Also, an investigation of the dependability of complex systems controlled by a human operator, with three units operating under the superpriority, priority, and ordinary policies, and a preemptive resume repair policy has been reported. Yusuf et al (2020) have shown the effectiveness of a multi-computer system consisting of three subsystems in series using the Copula repair technique. Singh et al ( 2020) provided an improved model for detecting flaws in previously published models and evaluating performance for various types of failure and repair, claiming that the system performs better than once assessed systems.…”

“…Potapov et al (2019) used the Markov process to construct mathematical models for analyzing a system with a client-server architecture. The dependability characteristics of a computer network system comprised of load balancers, distributed database servers, and a centralized server arranged as a series-parallel system with three subsystems are discussed in Yusuf et al (2020). With an architecture-based self-adaptive framework, Modibbo et al (2021) proposed two concepts for estimating reliability functions based on Maximum Likelihood Estimators (MLE) and Uniformly Minimum Variance Unbiased Estimators (UMVUE) techniques.…”

Performance Analysis of Photovoltaic Systems Using (RAMD) Analysis

“…Singh [17] analyzed the performance of a system with imperfect switch consisting of two subsystem arranged in series through copula approach. Yusuf et al [18] focus on reliability analysis of computer system configured as series-parallel system having three dissimilar subsystem via copula approach. Raghav et al [19] dealt with reliability prediction and performance evaluation of distributed system consisting with similarity software and server architecture using joint probability distribution via Copula approach.…”