Study of reliability measures of a local area network via copula linguistics approach

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

doi:10.1108/ijqrm-07-2011-0102

Cited by 13 publications

(10 citation statements)

References 11 publications

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“…The availability of the designed power plant can be examined by taking the inverse Laplace transformation of Equation (18) and by putting the value of failure and repair rates as λ G =0.06, λ R =0.11, λ B =0.20, λ GB =0.30, λ C =0.03, λ CSF =0.01, μ =1, ϕ ( x )=1 (Rawal et al , 2015; Manglik and Ram, 2015; Le Gourieres, 2014; Singh et al , 2013). One may get the availability of the power plant as follows: …”

Section: Particular Cases and Their Numerical Computationsmentioning

confidence: 99%

Stochastic modelling of a wind electric generating power plant

Goyal

Ram

2017

IJQRM

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Purpose The purpose of this paper is to analyse the performance of a wind electric generating power plant through the study of reliability measures. The enhancement of the performance of the wind power plant using various approaches is also an objective of this paper. Design/methodology/approach This paper describes two models of a wind electric generating power plant using the Markov process and supplementary variable technique and solved with the help of Laplace transformation. The first model has been analyzed without fault coverage and Gumbel-Hougaard family of copula, while the second model of the wind power plant employs fault coverage and Gumbel-Hougaard family of copula which are used to enhance the performance. The proposed methodology is then illustrated in detail considering numerical examples. Findings Numerous reliability characteristics such as availability, reliability and mean time to failure to examine the performance of the wind power plant have been investigated. Through the comparative study of both the models, the authors concluded that the plant can generate electricity over long periods of time by covering more and more detected faults, which is made possible with two types of repair facility. Originality/value In this work, the authors have developed a mathematical model based on a wind electric generating power plant. This work incorporates not only the component failures that stop or degrade the working of the plant but also deals with the catastrophic and repair strategy of the plant.

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Section: Particular Cases and Their Numerical Computationsmentioning

confidence: 99%

Stochastic modelling of a wind electric generating power plant

Goyal

Ram

2017

IJQRM

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“…The configuration consisting of the first subsystem working policy k-out-ofn: G policy and the second subsystems containing three identical units with uniform failure rates. Raghav et al [30] analyzed a system comprising two subsystems under the k-out-of-n: G strategy with two types of repair with copula repair approach. Kumar and Singh [31] computed reliability indices of a repairable system with deliberate failure and reboot delay employing supplementary variables.…”

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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“…Ram et al (2013) discussed the stochastic analysis of a standby system using waiting repair strategy. Rawal et al (2015) analyzed the study of reliability measures of a local area network via a copula linguistics approach.…”

Section: Introductionmentioning

confidence: 99%

Cost assessment of complex repairable system consisting two subsystems in series configuration using Gumbel Hougaard family copula

Lado

Singh

2019

IJQRM

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Purpose The purpose of this paper is to covenant with the cost assessment of a complex repairable system, consisting of two subsystems (Subsystem 1 and Subsystem 2) connected in series configuration and being operated by a human operator. Each subsystem has two identical units in parallel configuration and has different types of failure and two types of repairs (general repair and copula repair). Through the transition diagram, the system of first-order partial differential equations is derived and solved using a supplementary variable technique, Laplace transforms. All failures are assumed to follow exponential distribution, whereas repairs follow two types of distributions that are general and Gumbel–Hougaard family copula. In this paper, explicit expressions for reliability, availability, mean time to failure (MTTF) and cost analysis functions have been obtained. In this paper, two types of repairs (copula repair and general repair) have been studied, and it has been concluded that copula repair is more reliable as compared to general repair. Some computations 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 have been shown in tables and graphs. The convincing part has been discussed in last section of this study. Design/methodology/approach This paper is focused on the cost assessment of a system consisting two subsystem series configuration. Each subsystem has two identical units in parallel configuration. The performance of the system has been analyzed by supplementary variable techniques and Laplace transforms. Various measures of the reliability have been discussed by evaluations. Software called Maple 13 is used for computations. Findings In this research paper, the authors have evaluated the operational cost and incurred profit of the system together with other reliability measures for various situations and different types of failures and two types of repairs using Gumbel–Hougaard family copula distribution. Research limitations/implications The present research focuses on the series and parallel configured complex systems that is used everywhere in industry and other sectors. The authors main aim is to claim that repair through the joint probability distribution copula is far better than general repair. Copula repair for a completely failed system is more beneficial for industrial system operations that will increase profit to the industrial sector. Practical implications The authors have observed that when repair follows general distribution the values of reliability obtained of the system are less compared to the those obtained when the authors apply copula repair, a joint probability distribution. It is a clear implication for industrial sector and organization to use the policy for a better generate revenue. Social implications According to the best of authors’ knowledge, there is no social implication as this study is meant for reliability section. The study in management and case study matters is considered to have social implication. Originality/value This research is the original work of authors. Nothing has been copied from any paper or book. The references are cited according to the relevance of study.

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Study of reliability measures of a local area network via copula linguistics approach

Cited by 13 publications

References 11 publications

Stochastic modelling of a wind electric generating power plant

Stochastic modelling of a wind electric generating power plant

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

Cost assessment of complex repairable system consisting two subsystems in series configuration using Gumbel Hougaard family copula

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