Classification of Markov chains describing the evolution of random strings

Abstract : We consider LIFO queue with several customer types, batch arrival and batch services. We get necessary and sufficient conditions for this queue to be ergodic, null recurrent and transient. These are given in terms of positive solutions of finite system of equations pi = Fi(p1, ..., pk), i = 1, ..., k, where Fi are polynomials with positive coefficients.
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Rapport
[Research Report] RR-2022, INRIA. 1993
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https://hal.inria.fr/inria-00074649
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Soumis le : mercredi 24 mai 2006 - 15:59:40
Dernière modification le : vendredi 25 mai 2018 - 12:02:05
Document(s) archivé(s) le : mardi 12 avril 2011 - 18:01:26

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A. Gajrat, Vadim A. Malyshev, M.V. Menshikov. Classification of Markov chains describing the evolution of random strings. [Research Report] RR-2022, INRIA. 1993. 〈inria-00074649〉

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