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

Igor N. Kovalenko and J. Ben Atkinson

International Journal of Stochastic Analysis, 1994, vol. 7, 1-14

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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:782827

DOI: 10.1155/S1048953394000328

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