A maximum entropy approach for the busy period of the M/G
/1 retrial queue |
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Authors: | M J Lopez-Herrero |
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Institution: | (1) School of Statistics, Complutense University of Madrid, Madrid, 28040, Spain |
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Abstract: | This paper concerns the busy period of a single server queueing model with exponentially distributed repeated attempts. Several
authors have analyzed the structure of the busy period in terms of the Laplace transform but, the information about the density
function is limited to first and second order moments. We use the maximum entropy principle to find the least biased density
function subject to several mean value constraints. We perform results for three different service time distributions: 3-stage
Erlang, hyperexponential and exponential. Also a numerical comparative analysis between the exact Laplace transform and the
corresponding maximum entropy density is presented.
AMS subject classification: 90B05 90B22 |
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Keywords: | Retrial queue Busy period Laplace transforms Maximum entropy principle Lagrange multipliers |
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