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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. Thismodel 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.
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