Results 131 to 140 of about 1,070 (159)
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Markov Renewal Processes, Semi-Markov Processes and Markov Random Walks
2007Janssen Jacques, Manca Raimondo
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Semi-semi-Markov processes: a generalized renewal approach for individual based branching processes
We consider the evolution of an individual-based branching population with semi-Markovian transitions (population with infinitely many types), and we generalize to this process the formalization of a classical individual semi-Markov model: we assume that for each individual of the branching population, the chain representing his jump states and jump ...
Jacob, Christine
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Semi-Markov model of a renewal process with switching
Journal of Mathematical Sciences, 1994A semi-Markov process with a discrete-continuous phase space is applied to describe a renewal process with switching. Formulas are derived for the stationary distribution of the embedded Markov chain and the stationary characteristics of the system.
Yu. E. Obzherin +2 more
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Naval Research Logistics (NRL), 2020
AbstractIn this paper, a condition‐based maintenance model for a multi‐unit production system is proposed and analyzed using Markov renewal theory. The units of the system are subject to gradual deterioration, and the gradual deterioration process of each unit is described by a three‐state continuous time homogeneous Markov chain with two working ...
Nooshin Salari, Viliam Makis
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AbstractIn this paper, a condition‐based maintenance model for a multi‐unit production system is proposed and analyzed using Markov renewal theory. The units of the system are subject to gradual deterioration, and the gradual deterioration process of each unit is described by a three‐state continuous time homogeneous Markov chain with two working ...
Nooshin Salari, Viliam Makis
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A semimarkov model of a renewal process with an unreliable switch
Journal of Mathematical Sciences, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Obzherin, Yu. E., Peschanskij, A. I.
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Computational Methods for Renewal Theory and Semi-Markov Processes with Illustrative Examples
The American Statistician, 1988Abstract Some illustrative applications of semi-Markov processes in biostatistics, demography, and queuing theory are discussed. Algorithms for implementing such processes on a computer are also described, with suggestions for statistical inference based on models constructed from renewal theory and semi-Markov processes.
Charles J. Mode, Gary T. Pickens
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Countable State Space Markov Renewal and Semi-Markov Processes
2001In this chapter we present basic results for the countable case. By “countable case” we mean that the state space E is finite or countable and that e = P(E). We give two different kinds of results: the first one concerns some specialization of the general case; the second one concerns results which can be stated only in the countable case, as the ...
N. Limnios, G. Oprişan
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Filtering of Markov renewal queues, III: semi-Markov processes embedded in feedback queues
Advances in Applied Probability, 1984In Part I (Hunter) a study of feedback queueing models was initiated. For such models the queue-length process embedded at all transition points was formulated as a Markov renewal process (MRP). This led to the observation that the queue-length processes embedded at any of the ‘arrival', ‘departure', ‘feedback', ‘input', ‘output ...
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