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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

journal of applied mathematics and stochastic analysis

On the calculation of steady-state loss probabilities in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$GI/G/2/0$"><mml:mrow><mml:mi>G</mml:mi><mml:mi>I</mml:mi><mml:mo>/</mml:mo><mml:mi>G</mml:mi><mml:mo>/</mml:mo><mml:mn>2</mml:mn><mml:mo>/</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> queue

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