MULTI-SERVER LOSS QUEUEING SYSTEM WITH THE BMMAP ARRIVAL PROCESS

In this paper, we consider a multi-server queueing system with heterogeneous customers that arrive according to a Batch Marked Markovian Arrival Process. The service time is exponentially distributed with the rate depending on the type of customer. The system does not have a buffer and the acceptance discipline is Partial Admission. The operation of the system is described by the multi-dimensional Markov chain. The stationary distribution and performance measures of the system including loss probabilities of customers of different types are computed.