2018
DOI: 10.1109/tr.2017.2765352
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A New Analytical Approach for Interval Availability Analysis of Markov Repairable Systems

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Cited by 13 publications
(7 citation statements)
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“…Accordingly, evaluating the reliability and risk management of these grids is very important [32,33]. Analytic methods and methods based on probabilistic simulations have been presented to evaluate reliability and risk management in smart grids [34][35][36][37]. Methods based on probabilistic simulations such as the Monte Carlo (MC) method cover various system uncertainties, and new conditions with new stochastic nature can be easily added [38][39][40].…”
Section: Literature Reviewmentioning
confidence: 99%
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“…Accordingly, evaluating the reliability and risk management of these grids is very important [32,33]. Analytic methods and methods based on probabilistic simulations have been presented to evaluate reliability and risk management in smart grids [34][35][36][37]. Methods based on probabilistic simulations such as the Monte Carlo (MC) method cover various system uncertainties, and new conditions with new stochastic nature can be easily added [38][39][40].…”
Section: Literature Reviewmentioning
confidence: 99%
“…In some articles (for example, [12][13][14][15][16][17][18]), the authors presented a framework for developing sell/purchase strategies for a distribution company in the energy and retail markets considering demand uncertainty, but none of them examined the effect of elasticity on consumption demand. In some studies, no pricing scheme was used, such that the customers of the distribution network were ignored (for example, [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47]). In some articles, load restoration resources in the distribution system and network reliability were considered, but no plan was considered for pricing and participation levels of consumers (for instance, [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49]).…”
Section: Literature Reviewmentioning
confidence: 99%
“…The state sojourn time is defined as the amount of time spent in a state before leaving that state. Many authors have considered modeling system availability assessment using a Markov process, examples include [11]- [13]. However, using a Markov process has several drawbacks.…”
Section: B Stochastic Processes Reviewmentioning
confidence: 99%
“…Following reduction of all cycles c ∈ C into reduced cycles (f, c) as presented in the previous paragraph, equations (5) and (6) can be reformulated into (12) and (13), where R M and R R represent those reduced cycles respectively requiring minimal and perfect maintenance:…”
Section: Mathematical Frameworkmentioning
confidence: 99%
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