Availability,MTTF and Cost analysis of complex system under Preemptive resume repair policy using copula distribution

Singh, V. V.; Rawal, D. K.

doi:10.18187/pjsor.v10i3.724

Cited by 14 publications

(6 citation statements)

References 19 publications

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“…Singh and Ayagi [11] investigated system performance using the preemptive resume repair policy and Gumbel-Hougaard family copula repair approach. The availability, MTTF, and cost analysis of the complex system using copula distribution under the preemptive resume repair policy were studied by Singh and Rawal [12].…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Assessment of Computer-Based Test (CBT) Network System Consists of Four Subsystems in Series Configuration Using Copula Linguistic Approach

Singh

Ismail

Yusuf

et al. 2021

JRSS

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A complex repairable computer-based test (CBT) network system studied in this paper consists of three client computers, a load balancer, two database servers, with the centralized server structured in a series configuration. Subsystem 1 consists of three homogeneous clients arranged in parallel configuration, subsystem 2 comprises a load balancer, subsystem 3 is comprised of two distributed homogeneous database servers in parallel arrangement and subsystem 4 consists of a centralized database server. Through the transition diagram, the first-order differential equations are derived. The model has solved using supplementary variables, with implications of Laplace transforms. Reliability metrics of system effects such as availability, reliability, MTTF, MTTF sensitivity, and the cost function is estimated to see the impact of failure and repair patterns on reliability evaluations. The results of this study indicated that system performance could be improved when the copula repair is employed.

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Section: Introductionmentioning

confidence: 99%

Probabilistic Assessment of Computer-Based Test (CBT) Network System Consists of Four Subsystems in Series Configuration Using Copula Linguistic Approach

Singh

Ismail

Yusuf

et al. 2021

JRSS

View full text Add to dashboard Cite

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“…Garg [10] focus on the performance of an industrial system using soft computing based hybridized technique Kumar et al [12] dealt with assessment of reliability of a system by applying hesitant fuzzy set. Singh and Rawal [15] presented study on availability, MTTF, and cost analysis of the complex system under preemptive resume repair policy using copula distribution. Yusuf et al [17] discussed the reliability Analysis of a linear consecutive 2-out-of-3 System in the presence of supporting device and repairable service station.…”

Section: Introductionmentioning

confidence: 99%

Availability Analysis of Hybrid Systems Consisting of Main Units and Cold Standby Processors

Yusuf

Usman²,

Bala

2021

JRSS

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The present paper studies availability of four hybrid systems configured as series-parallel systems. Each system or configuration consisting of main units and their corresponding processors. Configuration I consist of three processors is a 2-out-of-3 unit connected to 2-out-of-3 processors, Configuration II is a 2-out-of-3 unit connected to 2-out-of-4 processors, Configuration III is a 2-out-of-4 unit connected to 2-out-of-4 processors while Configuration IV is a 2-out-of-4 unit connected to 2-out-of-3 processors. The failure and repair times of units and their processors are assumed to be exponentially distributed. Explicit expressions for steady state availability are developed for each system using first order linear differential difference equations and validated by performing numerical experiments. Analysis of the effect of various system parameters on availability was performed. Graphical illustrations are given to highlight important results. The systems are ranked based on their availability and found that Configuration IV is better. Sensitivity analysis on the model’s outcomes are performed using partial rank correlation coefficients (PRCC) to determine the most critical parameters leading to increase (decrease) in the value of availability.

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“…Singh and Ayagi [14] analyzed a complex system under preemptive resume repair policy using Gumbel-Hougaard family of copula repair strategy. Singh and Rawal [15] have studied availability, MTTF, and cost analysis of complex system under preemptive resume repair policy using copula distribution.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2020

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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.

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Availability,MTTF and Cost analysis of complex system under Preemptive resume repair policy using copula distribution

Cited by 14 publications

References 19 publications

Probabilistic Assessment of Computer-Based Test (CBT) Network System Consists of Four Subsystems in Series Configuration Using Copula Linguistic Approach

Probabilistic Assessment of Computer-Based Test (CBT) Network System Consists of Four Subsystems in Series Configuration Using Copula Linguistic Approach

Availability Analysis of Hybrid Systems Consisting of Main Units and Cold Standby Processors

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

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