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

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  • Igor N. Kovalenko
  • J. Ben Atkinson

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.

Suggested Citation

  • Igor N. Kovalenko & J. Ben Atkinson, 1994. "On the calculation of steady-state loss probabilities in the G I / G / 2 / 0 queue," International Journal of Stochastic Analysis, Hindawi, vol. 7, pages 1-14, January.
    • Handle: RePEc:hin:jnijsa:782827
    DOI: 10.1155/S1048953394000328
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