Polling Queueing System with Varying Service Rate

We consider a two-buffer polling queueing system with a changing service rate. One of the buffers has an infinite capacity, while another is finite. Changes in service rates occur during service at random moments. The arrival flow is defined by a Marked Markovian arrival process. The process of the system states is defined by a multidimensional Markov chain. The generator of this chain is derived, and its steady-state distribution is computed. The main performance characteristics of the system are obtained.