Results 101 to 110 of about 460 (112)

Countable State Space Markov Renewal and Semi-Markov Processes

2001
In 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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A semimarkov model of a renewal process with an unreliable switch

Journal of Mathematical Sciences, 1996
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Obzherin, Yu. E., Peschanskij, A. I.
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On Some Consequences of the Equation for the Markov Renewal Function of a Semi-Markov Process

Ukrainian Mathematical Journal, 2004
We obtain chains of equations that relate the sojourn times of a semi-Markov process in a set of states to its Markov renewal function. We use the mathematical apparatus of the theory of Markov and semi-Markov processes.
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Filtering of Markov renewal queues, III: semi-Markov processes embedded in feedback queues

Advances in Applied Probability, 1984
In 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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Some renewal-theoretic investigations in the theory of sojourn times in finite semi-Markov processes

Journal of Applied Probability, 1991
In this note, an irreducible semi-Markov process is considered whose finite state space is partitioned into two non-empty sets A and B. Let MB (t) stand for the number of visits of Y to B during the time interval [0, t], t > 0. A renewal argument is used to derive closed-form expressions for the Laplace transform (with respect to
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Non-Homogeneous Semi-Markov and Markov Renewal Processes and Change of Measure in Credit Risk

Mathematics, 2021
Panagiotis Vassiliou
exaly  

Semi-semi-Markov processes: a generalized renewal approach for individual based branching processes

2007
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 ...
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Limit theorems for semi-Markov processes and renewal theory for Markov chains on general state spaces

Advances in Applied Probability, 1978
K. B. Athreya, P. Ney
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Markov Renewal Processes, Markov Random Walks and Semi-Markov Processes

2006
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Semi‐Markov Processes and Hidden Models

2011
Nikolaos Limnios
exaly