Analyse et évaluation de performances de systèmes de files d'attente avec feedback de clients

Abstract

The main objective of this thesis is to analyze di erences queuing systems with Bernoulli feedback when the probability of this latest phenomena depends on the number of customers in the system. At rst, we have considered an MM1 queue with Bernoulli feedback, where we analyzed a particular cases of them. Secondly, we consider the parametric estimation of the characteristics of the waiting model MM1N queue with Bernoulli feedback. A simulation study was carried out with the objective of analyzing the e ect of estimating the starting parameters of the waiting system in question on the statistical properties of its performance measurement estimators obtained via the plug-in method. Where a through discrete event simulation technique, we have analyzed the GI GI 1 queue system with Bernoulli feedback. Numerical and graphic analyzes are carried out to show the e ect of the distribution of inter-arrivals times, the distribution of service times, the probability of Feedback, and the tra c intensity on the stationary characteristics of the system in question and allowed us to draw important conclusions on the behavior of these characteristics