On polynomial recurrence for reliability system with a warm reserve
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Publication:5213247
zbMATH Open1431.60108arXiv1907.11982MaRDI QIDQ5213247
Publication date: 31 January 2020
Abstract: Conditions for positive and polynomial recurrence have been proposed for a class of reliability models of two elements with transitions from working state to failure and back. As a consequence, uniqueness of stationary distribution of the model is proved; the rate of convergence towards this distribution may be theoretically evaluated on the basis of the established recurrence.
Full work available at URL: https://arxiv.org/abs/1907.11982
Reliability, availability, maintenance, inspection in operations research (90B25) Markov renewal processes, semi-Markov processes (60K15) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)
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