Improvement of the reliability of a dependent system under copula

Temraz, Neama Salah Youssef

doi:10.1108/ijqrm-09-2017-0201

Cited by 2 publications

(1 citation statement)

References 17 publications

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“…Singh et al [8] used Copula to analyze the performance of complex systems in series configuration across several failure and repair scenarios. Neama [9] investigated how a dependent system develops its reliability. Yusuf et al [10] studied the RAMD analysis on PV systemplant where PV system mainly consists of five components namelyPV modules, controller, batteries, inverter and Distribution Board.…”

Section: Introductionmentioning

confidence: 99%

Effect of reduction method on the performance a software defined network system using Gumbel Hougaard family copula distribution

Elshoubary

2023

J. Nig. Soc. Phys. Sci.

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This study examines a system that consists of three subsystems 1, 2 and 3. These three subsystems are each linked together in series. Subsystem 1’s three units are wired in series, subsystem 2’s three units are wired in parallel and operating under the 2-out-of-3: G; policy, and subsystem 3’s three units are wired in parallel and operating under the 1-out-of-3: G; policy. Units and subsystems failure rates are constant and follow an exponential distribution. The repair rate follow two types of distributions, namely general and Gumbel Hougaard family copula distribution. The system was studied using Laplace transforms and supplementary variable methods. For specific values of the failure and repair rates, availability, reliability, mean time to failure (MTTF), and cost analysis have been assessed. As a means to improve the system’s overall effectiveness and availability, a reduction strategy is utilized. Tables and graphs are used to display computed results.

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Section: Introductionmentioning

confidence: 99%

Effect of reduction method on the performance a software defined network system using Gumbel Hougaard family copula distribution

Elshoubary

2023

J. Nig. Soc. Phys. Sci.

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Reliability analysis of (r,s)-out-of-n multi-state systems using copulas

Erem Halilsoy,

Iscioglu

2024

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PurposeThis study evaluates the reliability of a multi-state system (MSS) with n components, each having two s-dependent components via copulas.Design/methodology/approachThe study employs copula functions to model dependencies between components in an MSS. Specifically, it analyzes a (1,1)-out-of-n three-state system using Frank and Clayton copulas for reliability evaluation. A simulation-based case study of a micro-inverter solar panel system is also conducted using the Farlie–Gumbel–Morgenstern (FGM) copula.FindingsThe study finds that incorporating component dependencies significantly impacts the reliability of multi-state systems. Using Frank and Clayton copulas, the analysis shows how dependency structures alter system performance compared to independent models. The case study on a micro-inverter solar panel system, using the FGM copula, demonstrates that real-world systems with dependent components exhibit different performances. Also some effects of dependence parameters on the performance characteristics of the system such as mean residual lifetime and mean past lifetime are also examined.Originality/valueThis study is original in its use of copula functions to evaluate the performance of multi-state systems, particularly focusing on a (1,1)-out-of-n three-state system with dependent components. By applying Frank and Clayton copulas, the research advances reliability analysis by considering component dependencies, often overlooked in traditional models. Additionally, a case study on a micro-inverter solar panel system using the FGM copula highlights the practical application of these methods.

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Improvement of the reliability of a dependent system under copula

Cited by 2 publications

References 17 publications

Effect of reduction method on the performance a software defined network system using Gumbel Hougaard family copula distribution

Effect of reduction method on the performance a software defined network system using Gumbel Hougaard family copula distribution

Reliability analysis of (r,s)-out-of-n multi-state systems using copulas

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