Markov renewal processes, semi-markov processes

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Semi-Markov and Markov Renewal Processes

2011
State space is usually defined by the number of units that are working satisfactorily. As far as the applications to reliability theory is concerned, we consider only a finite number of states, contrast with a queueing theory. We mention only the theory of stationary Markov processes with a finite-state space. It is shown that transition probabilities,
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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
P -C G Vassiliou
exaly

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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Using Semi-Markov Chains to Solve Semi-Markov Processes

Methodology and Computing in Applied Probability, 2020
Bei Wu, Nikolaos Limnios, Limnios Nikolaos +2 more
exaly

Application of Markov renewal theory and semi‐Markov decision processes in maintenance modeling and optimization of multi‐unit systems

Naval Research Logistics, 2020
Nooshin Salari, Viliam Makis
exaly

Semi-Markov generated point processes and the superposition of finite numbers of independent Erlang and hyperexponential renewal processes.

http://archive.org/details ...
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Chapter 6 Renewal processes and semi-Markov processes

1975
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