01216nas a2200157   4500000000100000000000100001008004100002260005000043100002100093700001900114700002400133700002400157245006900181300001400250520079400264       2014                            d  bSpringer International Publishing Switzerland1 aJoanna Domańska1 aAdam Domański1 aTadeusz Czachórski1 aTadeusz Czachórski00aA few investigations of long-range dependence in network traffic  a137–1443 aThe paper presents measurements and analysis of a LAN long-range dependence traffic collected in IITiS PAN (The Institute of Theoretical and Applied Informatics of the Polish Academy of Sciences). Several methods of Hurst parameter estimation were used, the results obtained by the methods differ substantially. The analysis was made for the whole traffic and traffics generated by particular types of protocols. We seek for a dependence of Hurst parameter on a protocol type. Then, a MMPP(Markov-Modulated Poisson Process) model was applied to mimic the traces. It allows us to consider Markovian queueing models with long-range dependent and self-similar traffic, an important factor as we dispose an efficient software tool to solve numerically very large continuous-time Markov chains.