Abstract

AbstractA retrial single-server queueing model with two types of customers is considered. Arrivals occur according to the Marked Markovian Arrival Process (MMAP). In case of the server occupancy at the arrival epoch, the customer moves to the orbit depending on the type of the customer. One orbit is an infinite while the second one is a a finite. Service time distributions are exponential with the parameter depending on the type of a customer. Joint distribution of the number of customers in the orbits and some performance measures are computed. Numerical results are presented. Possible extensions of the model are outlined.Keywords MMAP/M 2/1 queueing modelretrialsstationary state distributionasymptotically quasi-Toeplitz Markov chains

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