Will E. Leland, Murad S. Taqqu, Walter Willinger, and Daniel V. Wilson. Statistical analysis of high timeresolution ethernet Lan = traffic measurements. In PCmpScSt25, pages 146-- 155, 1993.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....subject of active research. This classical work on heavy traffic approximations has little relevance to recent work in communication networks, which explains self similarity of network traffic by means of on off models having infinite variance and heavy tailed transmission time distributions. See [2, 28, 20, 21, 31, 22, 32, 11, 10, 12, 24, 16, 15, 14]) A recent stimulating paper by Boxma and Cohen [4] studies the stationary waiting time for the GI G 1 queue under the assumptions that the system is under heavy traffic and the service distribution has infinite variance, while the interarrival distribution tail is of smaller order than the ....

Will E. Leland, Murad S. Taqqu, Walter Willinger, and Daniel V. Wilson. Statistical analysis of high timeresolution ethernet Lan = traffic measurements. In PCmpScSt25, pages 146-- 155, 1993.

....data . Sidney Resnick s research was also partially supported by NSF grant DMS 97 04982 and NSA Grant MDA904 98 1 0041 at Cornell University. 1 2 C.A. GUERIN, H. NYBERG, O. PERRIN, S. RESNICK, H. ROOTZ EN, AND C. ST ARIC A origins and effects of the self similarity. Willinger et al. [57, 58, 59, 77, 83, 84, 85]) discussed self similarity of packet counts per unit time in LANS and WANS and a parallel discussion of selfsimilarity of bytes per unit time in WWW traffic was conducted by Crovella et al. ( 15, 16, 19, 17] Crovella, Kim and Park ( 18] conducted a large simulation study to assess the causes ....

Will E. Leland, Murad S. Taqqu, Walter Willinger, and Daniel V. Wilson. Statistical analysis of high timeresolution ethernet Lan traffic measurements. In PCmpScSt25, 146-- 155, 1993.

....cumulative input, buffer content and time to buffer overflow. 1. Introduction The identification of self similarity in various types of teletraffic flow rates has created widespread interest in the possible origins and effects of the self similarity. Willinger et al. 32] 24] 25] 35] [26], 36] 37] discussed self similarity of packet counts per unit time in LANS and WANS and a parallel discussion of self similarity of bytes per unit time in WWW traffic was conducted by Crovella et al. ( 6, 7, 10, 8] Crovella, Kim and Park ( 9] conducted a large simulation study to assess the ....

Will E. Leland, Murad S. Taqqu, Walter Willinger, and Daniel V. Wilson. Statistical analysis of high timeresolution ethernet Lan traffic measurements. In PCmpScSt25, pages 146-- 155, 1993.

....in time dependent external parameters, rather than statistically through parsimonious modelling by fBM, then Quality of Service predictions may be achieved by applications of techniques familiar for short range dependent traffic. 1 Introduction In a series of recent papers, Leland et al. [17, 18] propose that Ethernet traffic can be modelled by self similar possesses and possesses long range dependence (lrd) Similar proposals have been made for Variable Bit Rate sources by Beran et al. [2] In the former case the proposal is justified using traffic observations that were taken from an ....

....nm X k=1 (X k Gamma ) D n H m X k=1 (X k Gamma ) 8) for some H 2 [1=2; 1) Here D means approximately equal in distribution . Then X is said to be asymptotically self similar with Hurst parameter H; if H 1=2 the process exhibits lrd. This is a criterion which Leland et al. [17, 18] have employed to infer self similarity from observed timeseries. If (8) holds in a suitably rigorous sense and the relevant expectations are finite, then the scaled cumulant generating function defined by ( lim n 1 n ( where n ( n Gamma2(1 GammaH) log Ee n 1 Gamma2H P n k=1 Xk ....

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W.E. Leland, M.S. Taqqu, W. Willinger and D.V. Wilson (1993). Statistical analysis of high timeresolution Ethernet LAN traffic measurements. Proceedings of INTERFACE, 1993

....issues raised by the Bellcore data N.G. Duffield 1;2 , J.T. Lewis 2 , Neil O Connell 2;3 , Raymond Russell 2 and Fergal Toomey 2 Introduction There has been a recent surge of literature claiming that Ethernet traffic is selfsimilar and possesses long range dependence [12, 13, 14]; similar claims have been made with reference to other forms of telecommunications traffic [2] Leland et al. 12, 13, 14] have justified these claims using traffic observations that were taken from an Ethernet local area network at Bellcore Laboratories: we refer to these observations, which ....

.... Russell 2 and Fergal Toomey 2 Introduction There has been a recent surge of literature claiming that Ethernet traffic is selfsimilar and possesses long range dependence [12, 13, 14] similar claims have been made with reference to other forms of telecommunications traffic [2] Leland et al. [12, 13, 14] have justified these claims using traffic observations that were taken from an Ethernet local area network at Bellcore Laboratories: we refer to these observations, which have been made publicly available, as the Bellcore data . In this lecture we discuss the implications of such claims for the ....

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W.E. Leland, M.S. Taqqu, W. Willinger and D.V. Wilson. Statistical analysis of high time-resolution Ethernet LAN traffic measurements. Proceedings of INTERFACE, 1993.

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W.E. Leland, M.S. Taqqu, W. Willinger and D.V. Wilson, "Statistical Analysis of High Time-Resolution Ethernet LAN Tra#c Measurements", Proc. of the 25th Symposium on the Interface, San Diego, CA, pp. 146-155, 1993. 13

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Leland, W., Taqqu, M., Willinger, W. & Wilson, D. (1993b), Statistical analysis of high time--resolution Ethernet LAN traffic measurements, in `Proceedings of INTERFACE'.

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