Past Present and Future of Scaling Behaviour in Telecommunications Networks

An historical overview of the discovery of scale invariance in telecommunications networks is given. This is followed by a critical overview of the ‘second wave’ of discoveries, leading up to the present day, concern ing multifractal behaviour. An overview of wavelet methods fo r the detection of scale invariance is then given, and the paper concludes with an indication of the stat istical tools most needed to enable definitive statements abou t the presence of scaling into the future.

[1]  Rudolf H. Riedi,et al.  This is Printer Multifractal Processes , 1999 .

[2]  Krishna Kant On aggregate traffic generation with multifractal properties , 1999, Seamless Interconnection for Universal Services. Global Telecommunications Conference. GLOBECOM'99. (Cat. No.99CH37042).

[3]  Patrice Abry,et al.  A Wavelet-Based Joint Estimator of the Parameters of Long-Range Dependence , 1999, IEEE Trans. Inf. Theory.

[4]  Patrice Abry,et al.  Long‐range Dependence: Revisiting Aggregation with Wavelets , 1998 .

[5]  Patrice Abry,et al.  Wavelets for the Analysis, Estimation, and Synthesis of Scaling Data , 2002 .

[6]  Kathleen S. Meier-Hellstern,et al.  TRAFFIC MODELS FOR ISDN DATA USERS: OFFICE AUTOMATION APPLICATION , 1991 .

[7]  Zhi-Li Zhang,et al.  Small-time scaling behaviors of Internet backbone traffic: an empirical study , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[8]  Walter Willinger,et al.  On the self-similar nature of Ethernet traffic , 1993, SIGCOMM '93.

[9]  Patrice Abry,et al.  Multifractality in TCP/IP traffic: the case against , 2005, Comput. Networks.

[10]  Sally Floyd,et al.  Wide area traffic: the failure of Poisson modeling , 1995, TNET.

[11]  Patrice Abry,et al.  Wavelet Analysis of Long-Range-Dependent Traffic , 1998, IEEE Trans. Inf. Theory.

[12]  Patrice Abry,et al.  Cluster processes: a natural language for network traffic , 2003, IEEE Trans. Signal Process..

[13]  D. Veitch,et al.  Infinitely divisible cascade analysis of network traffic data , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[14]  Will E. Leland,et al.  High time-resolution measurement and analysis of LAN traffic: Implications for LAN interconnection , 1991, IEEE INFCOM '91. The conference on Computer Communications. Tenth Annual Joint Comference of the IEEE Computer and Communications Societies Proceedings.

[15]  Richard G. Baraniuk,et al.  A Multifractal Wavelet Model with Application to Network Traffic , 1999, IEEE Trans. Inf. Theory.

[16]  Walter Willinger,et al.  Self-Similar Network Traffic and Performance Evaluation , 2000 .

[17]  Anja Feldmann,et al.  The changing nature of network traffic: scaling phenomena , 1998, CCRV.

[18]  Sally Floyd,et al.  Wide-area traffic: the failure of Poisson modeling , 1994 .

[19]  Iraj Saniee,et al.  Performance impacts of multi-scaling in wide area TCP/IP traffic , 2000, Proceedings IEEE INFOCOM 2000. Conference on Computer Communications. Nineteenth Annual Joint Conference of the IEEE Computer and Communications Societies (Cat. No.00CH37064).

[20]  Azer Bestavros,et al.  Self-similarity in World Wide Web traffic: evidence and possible causes , 1996, SIGMETRICS '96.

[21]  Rudolf H. RiediRice Tcp Traac Is Multifractal: a Numerical Study , 1997 .

[22]  Mark Crovella,et al.  Characteristics of WWW Client-based Traces , 1995 .

[23]  Richard G. Baraniuk,et al.  Multiscale nature of network traffic , 2002, IEEE Signal Process. Mag..