Reliability assessment of multi-computer system consisting n clients and the k-out-of-n: G operation scheme with copula repair policy

Rawal, D. K.; Sahani, Suresh Kumar; Singh, V. V.; Jibril, Abbas

doi:10.1007/s41872-022-00192-5

Cited by 3 publications

(1 citation statement)

References 21 publications

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“…Many researchers, including Ram and Singh (2010), Rawal et al (2015), Chopra and Ram (2019), Yusuf et al (2021), Rawal et al (2022), andSanusi et al (2022) have applied the copula approach in their models. Poonia (2021) studied the performance of a multi-state computer network system incorporating copula modeling.…”

Section: Introductionmentioning

confidence: 99%

Linear Consecutive-k-out-of-n: G System Reliability Analysis

Chopra

Ram

2023

JRSS

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The concerned study pertains to the development of a new stochastic model for the reliability analysis of linear consecutive-k-out-of-n: G system, where k>n2. In the developed model, system may collapse as a result of common cause failure or hardware failure in its units. The system has exponentially distributed failure rates, and in case of breakdown, it is repaired with the copula method. The developed model has been examined through supplementary variable technique (SVT) along with Laplace transform. The current paper has specifically studied consecutive-(n-1)-out-of-n: G system. The performance of such system having ten components is explored and its various reliability measures have been obtained and discussed with the help of graphs. The originality of this work lies in incorporating common cause failure in conjunction with copula repair in the reliability modeling of consecutive systems through the SVT. The study confirms that an increase in failure rates and the number of components of the concerned system decreases mean time to failure (MTTF). The profit of linear consecutive-9-out-of-10: G system is examined with the help of a numerical example.

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Section: Introductionmentioning

confidence: 99%

Linear Consecutive-k-out-of-n: G System Reliability Analysis

Chopra

Ram

2023

JRSS

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Stochastic Evaluation of Serial Multi-Purpose Solar System Using Gumbel–Hougaard Family Copula

Ismail,

Aminu,

Yusuf

2023

Int. J. Appl. Comput. Math

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Stochastic Evaluation of Serial Multi-Purpose Solar System Thru Gumbel-Hougaard Family Copula

Ismail

Aminu

Yusuf

2023

Preprint

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Considering the high cost and safety risks linked with traditional energy sources such as fossil fuels, hydroelectricity, thermal electricity etc. this made it mandatory for the globe to investigate in renewable energy sector. In line with above mentioned issues, the present study concentrated on a multi-purpose solar system consisting of four subsystems: a solar panel, a controller, two USB charge points and four electric bulb points all merged together in a series-parallel conformation. Components/units failure is constant and in line with exponential function, copula and general repairs are available for the repair of partial and entire system failure. The transition diagram of the system is used to derived the partial differential equations of order one, and solved using supplementary variable and Laplace transformation procedures. Maple software package is used to generate expressions for availability, reliability, mean time to failure (MTTF), sensitivity and cost. Results are justified using particular examples and presented in Tables and Figures.

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Reliability assessment of multi-computer system consisting n clients and the k-out-of-n: G operation scheme with copula repair policy

Cited by 3 publications

References 21 publications

Linear Consecutive-k-out-of-n: G System Reliability Analysis

Linear Consecutive-k-out-of-n: G System Reliability Analysis

Stochastic Evaluation of Serial Multi-Purpose Solar System Using Gumbel–Hougaard Family Copula

Stochastic Evaluation of Serial Multi-Purpose Solar System Thru Gumbel-Hougaard Family Copula

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