Journal of Applied Mathematics and Stochastic Analysis 
Volume 7 (1994), Issue 3, Pages 397-410
doi:10.1155/S1048953394000328

On the calculation of steady-state loss probabilities in the GI/G/2/0 queue

Igor N. Kovalenko1 and J. Ben Atkinson2

 1Ukrainian National Academy of Sciences, Institute of Cybernetics, 40 Prospekt Glushkova, Kiev 252207 , Ukraine
2University of North London, School of Mathematical Sciences, Holloway Road, London N7 8DB, UK
Received 1 March 1994; Revised 1 June 1994

Abstract

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.