Year: 2006
Type: article
Abstract: The aim of this paper is to show how to use in practice the strong stability method and also to prove its efficiency.That is why we chose the GI/M/1 model for which there exist analytical results.For this purpose, we first determine the approximation conditions of the characteristics of the GI/M/1 system.Under these conditions, we obtain the stability inequalities of the stationary distribution of the queue size.We finally elaborate upon an algorithm for the approximation of the GI/M/1 system by the M/M/1 system, which calculates the approximation error with an exact computation.In order to give some idea about its application in practice, we give a numerical example.The accuracy of the approach is evaluated by comparison with some known exact results.
Authors: Louiza Bouallouche, Djamil Aïssani
Institution: University of Béjaïa
Language: English
Subfield: Management Information Systems
Domain: Social Sciences
Open Access status: bronze
OpenAlex ID: W1545438282