%0 Book Section %1 Laskin2001457 %A Laskin, N. %A Lambadaris, I. %A Harmantzis, F.C. %A Devetsikiotis, M. %B Teletraffic Engineering in the Internet EraProceedings of the International Teletraffic Congress - ITC-I7 %D 2001 %E Jorge Moreira de Souza, Nelson L.S. da Fonseca %E de Souza e Silva, Edmundo A. %I Elsevier %K itc itc17 %P 457 - 470 %R http://dx.doi.org/10.1016/S1388-3437(01)80143-8 %T Fractional lévy motion and its application to network traffic modeling %V 4 %X We introduce a general non-Gaussian, self-similar, stochastic process called the fractional Lévy motion (fLm). We formally expand the family of traditional fractal network traffic models, by including the fLm process. The main findings are the probability density function of the fLm process, several scaling results related to a single-server infinite buffer queue fed by fLm traffic, e.g., scaling of the queue length, and its distribution, scaling of the queuing delay when independent fLm streams are multiplexed, and an asymptotic lower bound for the probability of overflow (decreases hyperbolically as a function of the buffer size).

@incollection{Laskin2001457, abstract = {We introduce a general non-Gaussian, self-similar, stochastic process called the fractional Lévy motion (fLm). We formally expand the family of traditional fractal network traffic models, by including the fLm process. The main findings are the probability density function of the fLm process, several scaling results related to a single-server infinite buffer queue fed by fLm traffic, e.g., scaling of the queue length, and its distribution, scaling of the queuing delay when independent fLm streams are multiplexed, and an asymptotic lower bound for the probability of overflow (decreases hyperbolically as a function of the buffer size). }, added-at = {2016-07-12T14:53:52.000+0200}, author = {Laskin, N. and Lambadaris, I. and Harmantzis, F.C. and Devetsikiotis, M.}, biburl = {https://www.bibsonomy.org/bibtex/2ba72b61ac6f7404a5dbfefd497aad117/itc}, booktitle = {Teletraffic Engineering in the Internet EraProceedings of the International Teletraffic Congress - ITC-I7}, doi = {http://dx.doi.org/10.1016/S1388-3437(01)80143-8}, editor = {Jorge Moreira de Souza, Nelson L.S. da Fonseca and de Souza e Silva, Edmundo A.}, interhash = {386a0bf36aef6aec58b06578f6e6967d}, intrahash = {ba72b61ac6f7404a5dbfefd497aad117}, issn = {1388-3437}, keywords = {itc itc17}, pages = {457 - 470}, publisher = {Elsevier}, series = {Teletraffic Science and Engineering }, timestamp = {2020-04-30T18:17:29.000+0200}, title = {Fractional lévy motion and its application to network traffic modeling }, volume = 4, year = 2001 }