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Corpus ID: 11090941

On the BMAP_1, BMAP_2/PH/g, c retrial queueing system

@article{Wu2015OnTB,
title={On the BMAP_1, BMAP_2/PH/g, c retrial queueing system},
author={J. Wu and Yi Peng and Zaiming Liu},
journal={ArXiv},
year={2015},
volume={abs/1504.01191}
}

In this paper, we analyze a retrial queueing system with Batch Markovian Arrival Processes and two types of customers. The rate of individual repeated attempts from the orbit is modulated according to a Markov Modulated Poisson Process. Using the theory of multi-dimensional asymptotically quasi-Toeplitz Markov chain, we obtain the stability condition and the algorithm for calculating the stationary state distribution of the system. Main performance measures are presented. Furthermore, we… CONTINUE READING