Queueing system BMAP/G/1 with repeated calls

Authors:
A. Dudin;V. Klimenok
Affiliations:
Laboratory of Applied Probabilistic Analysis Faculty of Applied Mathematics and Computer Sciences, Belarus State University 4, F. Skorina Ave., Minsk-50, 220050, Belarus;Laboratory of Applied Probabilistic Analysis Faculty of Applied Mathematics and Computer Sciences, Belarus State University 4, F. Skorina Ave., Minsk-50, 220050, Belarus
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1999

Citing 3
Cited 7

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Abstract

A BMAP/G/1 retrial queueing system is considered. A sufficient condition for existence of a steady-state distribution is obtained. A matrix differential equation for the vector generating function of the stationary queue distribution is derived. An approximate algorithm for calculating the stationary state probabilities is proposed.