Author:
Leguesdron P.,Pellaumail J.,Rubino G.,Sericola B.
Abstract
A new approach is used to obtain the transient probabilities of the M/M/1 queueing system. The 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.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Cited by
8 articles.
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1. Multi-Server M/M/c Queue with N-Policy and d-Type Working Vacation;Queueing Theory and Network Applications;2017
2. Other Applications;International Series in Operations Research & Management Science;2016-12-16
3. Transient Queueing Analysis;International Series in Operations Research & Management Science;2016-12-16
4. Stochastic Simulation;International Series in Operations Research & Management Science;2016-12-16
5. Sums of Independent Discrete Random Variables;International Series in Operations Research & Management Science;2016-12-16