Abstract : A new approach is given to obtain the transient probabilities of the M/M/1 queueing system. A first step of this approach deals with the generating function of the transient probabilities of the uniformized Markov chain associated with this queue. The second step consists of the inversion of this generating function. A new analytical expression of the transient probabilities of the M/M/1 queue is then obtained.
https://hal.inria.fr/inria-00074697
Contributeur : Rapport de Recherche Inria
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Soumis le : mercredi 24 mai 2006 - 16:06:12
Dernière modification le : mercredi 11 avril 2018 - 01:51:24
Document(s) archivé(s) le : dimanche 4 avril 2010 - 22:01:22
Patrice Leguesdron, Jean Pellaumail, Gerardo Rubino, Bruno Sericola. Transient analysis of the M/M/1 queue. [Research Report] RR-1976, INRIA. 1993. 〈inria-00074697〉
