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Transient analysis of the M/M/1 queue
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
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 4:06:12 PM
Last modification on : Thursday, February 11, 2021 - 2:48:05 PM
Long-term archiving on: : Sunday, April 4, 2010 - 10:01:22 PM
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 4:06:12 PM
Last modification on : Thursday, February 11, 2021 - 2:48:05 PM
Long-term archiving on: : Sunday, April 4, 2010 - 10:01:22 PM