On the calculation of steady-state loss probabilities in the \(GI/G/2/0\) queue
type: Item
instance of: scholarly article
title: On the calculation of steady-state loss probabilities in the \(GI/G/2/0\) queue
zbMATH Open document ID: 0812.60088
DOI: 10.1155/S1048953394000328
author: I. M. Kovalenko
author: J. Ben Atkinson
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 1995-05-14T00:00:00Z
full work available at URL: https://eudml.org/doc/47150
review text: Summary: This paper considers methods for calculating the steady-state loss probability in the \(GI/G/2/0\) queue. A previous study analyzed this queue in discrete time and this led to an efficient, numerical approximation scheme for continuous-time systems. The primary aim of the present work is to provide an alternative approach by analyzing the \(GI/ME/2/0\) queue; i.e., assuming that the service time can be represented by a matrix- exponential distribution. An efficient computational scheme based on this method is developed and some numerical examples are studied. Some comparisons are made with the discrete-time approach, and the two methods are seen to be complementary.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 722521
zbMATH Keywords: discrete-time approximation
zbMATH Keywords: loss probability
zbMATH Keywords: steady-state loss probability
zbMATH Keywords: numerical approximation scheme
zbMATH Keywords: matrix-exponential distribution
MaRDI profile type: Publication
OpenAlex ID: W2167911406
description: scientific article; zbMATH DE number 722521