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- W4240708343 abstract "The paper is concerned with Markov renewal processes satisfying a certain non-singularity condition. The relation of this condition to irreducibility, Harris recurrence and regularity of the associated forward Markov process is studied. This enables one to prove limit theorems of a total variation type for Markov renewal processes and semi-regenerative processes by applying Orey's theorem to the forward process. The results are applied to a GI / G /1 queue and a growth-catastrophe population model." @default.
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- W4240708343 date "1985-06-01" @default.
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- W4240708343 title "On non-singular Markov renewal processes with an application to a growth–catastrophe model" @default.
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- W4240708343 doi "https://doi.org/10.1017/s0021900200037736" @default.
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