Some renewal-theoretic investigations in the theory of sojourn times in finite semi-Markov processes

DOI10.2307/3214685zbMath0745.60091OpenAlexW4239929193MaRDI QIDQ3988122

Attila Csenki

Publication date: 28 June 1992

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214685

zbMATH Keywords

Laplace transformrenewal theoryTauberian theoremsemi-Markov process

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Markov renewal processes, semi-Markov processes (60K15) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Renewal theory (60K05)

Related Items (6)

Occupation frequencies for irreducible finite semi-Markov processes with reliability applications ⋮ The number of visits to a subset of the state space by a discrete- parameter semi-Markov process ⋮ The joint distribution of sojourn times in finite semi-Markov processes ⋮ On a counting variable in the theory of discrete-parameter Markov chains ⋮ Simple derivations of properties of counting processes associated with Markov renewal processes ⋮ Mission Availability For Repairable Semi-Markov Systems: Analytical Results And Computational Implementation

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