Numerical analysis of queues with batch arrivals

The steady state distribution of quasi-birth–death processes can be efficiently obtained by matrix geometric (MG) methods. Since a number of telecommunication problems are modelled by processes with batch arrivals, the extension of MG methods for these processes has practical importance. This paper presents an extension of MG methods which is effective for the analysis of quasi-birth–death processes with batch arrivals. The proposed method is compared with one of the well-known methods.