Sankhya: The Indian Journal of Statistics

2004, Volume 66, Pt. 1, 140--158

On the Single Server Retrial Queue with Batch Arrivals


J.R. Artalejo, Complutense University of Madrid, Spain & I. Atencia, University of Malaga, Spain

SUMMARY. We consider a single server retrial queue with batch arrivals which operates under the so-called linear retrial discipline. In addition, each individual customer is subject to a control admission policy upon arrival. This model generalizes the classical $M/G/1$ retrial policy with arrivals in batches. We carry out an extensive analysis of the system, including existence of the stationary regime, embedded Markov chain, stochastic decomposition and calculation of the first moments.

AMS (1991) subject classification}. 60K25, 90B22.

Key words and phrases. Batch arrivals, control of admission, retrial queue.

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