## Semi-Markov models: theory and applications |

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### Contents

Some limit theorems for Markov additive processes | 3 |

Stationary regenerative processes | 13 |

Asymptotic analysis of some nonhomogeneous semiMarkov | 23 |

Copyright | |

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### Common terms and phrases

algorithm analysis applications approximation assume assumptions asymptotic behaviour branching processes censored Cinlar consider continuous convergence customers cycle decision models decision problems defined denote denumerable depend discrete distribution function Duyn Schouten dynamic dynamic programming earthquake embedded points equation ergodic estimation example exists exponential failure finite formula Galton-Watson process given Hordijk IEEE independent interval J.Appl.Probab Kalashnikov Lemma limit theorems M/G/l queue Markov chain Markov decision processes Markov model Markov processes Markov renewal processes Markovian matrix method Nummelin observed obtain optimal policies parameters patients pension benefits point process Poisson process problem Proof properties queueing models queueing networks queueing systems queueing theory random variables recurrent regenerative reliability renewal theory reward Russian semi semi-Markov model semi-Markov processes sequence Ser.A sojourn space stationary policy statistical stochastic models stochastic processes subset theory time-homogeneous tion transition probabilities vector wage