@misc{Rusek_Krzysztof_Transient, author={Rusek, Krzysztof and Janowski, Lucjan and Papir, Zdzisław}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={A packet buffer limited to a fixed number of packets (regardless of their lengths) is considered. The buffer is described as a finite FIFO queuing system fed by a Markovian Arrival Process (MAP) with service times forming a Semi-Markov (SM) process (MAP/SM/1/b in Kendall`s notation). Such assumptions allow us to obtain new analytical results for the queuing characteristics of the buffer.}, abstract={In the paper, the following are considered: the time to fill the buffer, the local loss intensity, the loss ratio, and the total number of losses in a given time interval. Predictions of the proposed model are much closer to the trace-driven simulation results compared with the prediction of the MAP/G/1/b model.}, title={Transient and stationary characteristics of a packet buffer modelled as an MAP/SM/1/b system}, type={artykuł}, keywords={router interface, Markovian arrival process, semi-Markov service time, hidden Markov model, finite-buffer queue, packet losses, first passage time}, }