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arXiv · 2110.04816

Some notes on a semi-Markov matrix occurring in the MMinf queue parameters study

Manuel Alberto M. Ferreira
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Abstract

The main objective of this work is to present a process to compute the Markov renewal matrix for Markov renewal processes with countable infinite spaces, which semi-Markov matrixes are immigration and death type and assume a tridiagonal form. These processes occur often in practical applications. And the difficulty in obtaining friendly results for that matrix is a great obstacle to its application in practical cases modelling. It is considered the application to the MMinf queue particular case.

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Manuel Alberto M. Ferreira. 2021-10-10. Some notes on a semi-Markov matrix occurring in the MMinf queue parameters study. https://arxiv.org/abs/2110.04816

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