On the calculation of steady-state loss probabilities in the GI/G/2/0 queue. (1994)

• Record Type: Journal Article
• Authors: Kovalenko, Igor N.; Atkinson, J. Ben
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 7:Number 3(1994)
• Page Start: 397
• Page End: 410
• Publication Date: 1994
• Subjects: matrix-exponential -- discrete-time approximation -- loss probability -- GI/G/2/0 queue; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953394000328
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : This paper considers methods for calculating the steady-state loss probability in the G I / 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 G I / M E / 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.