On the Rate of Convergence and Truncations for a Class of Markovian Queueing Systems

We deal with nonstationary continuous-time Markov chains for Markovian queues with bulk arrivals and group services. Under the assumption that arrival and service rates do not depend on the length of the queue, we suggest the approach of obtaining the sharp bounds on the rate of convergence to the limiting regime. We also study the approximations of the limiting characteristics of the queue-length process.