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References

ACW94
 J. Abate, G. Choudhury and W. Whitt, ``Waiting-Time Tail Probabilities in Queues with Long-Tail Service-Time Distributions,'' Queueing Systems, Vol.16, pp.311-338, 1994.
AMS82
 D. Anick, D. Mitra and M. Sondhi, ``Stochastic Theory of a Data Handling System with Multiple Sources,'' Bell Syst. Tech. J., Vol.61, pp.1871-94, 1982.
AnN98
 A. Andersen and B. Nielsen, ``A Markovian Approach for Modeling Packet Traffic with Long-Range Dependence,'' IEEE JSAC, Vol.16, No.5, pp.749-763, 1998.
ATM96
 ATM Forum Technical Committee, Traffic Management Specification Version 4.0, af-tm-0056.000, April 1996.
Bai91
 A. Baiochi et al., ``Loss Performance Analysis of an ATM Multiplexer Loaded with High-Speed ON-OFF Sources,'' IEEE Journal on Selected Areas in Communications, Vol.9, No.3, pp.388-392, 1991.
Ber94
 Jan Beran, Statistics for Long-Memory Processes , Chapman & Hall, 1994.
BST95
 J. Beran, R. Sherman, M. Taqqu, and W. Willinger, ``Long-Range Dependence in Variable-Bit-Rate Video Traffic,'' IEEE Trans. on Communications, Vol.43, Nos.2-4, pp.1566-79, February/March/April 1995.
Bor76
 A. Borovkov, Stochastic Processes in Queueing Theory, Springer-Verlag, 1976.
BoC98
 O. Boxma and J. Cohen, ``The M/G/1 Queue with Heavy-Tailed Service Time Distribution,'' IEEE JSAC, Vol.16, No.5, pp.719-732, 1998.
Box96
 O. Boxma, ``Fluid Queues and Regular Variation,'' Performance Evaluation, Vols.27&28, pp.699-712, 1996.
BRS96
 F. Brichet, J. Roberts, A. Simonian and D. Veitch, ``Heavy Traffic Analysis of a Storage Model with Long Range Dependent On/Off sources,'' Queueing Systems, Vol.23, pp.197-215, 1996.
Cha94
 C.S. Chang, ``Stability, Queue Length and Delay of Deterministic and Stochastic Queueing Networks,'' IEEE Trans. on Automatic Control, Vol.39, No.5, pp.913-931, May 1994.
Coh73
 J. Cohen, ``Some Results on Regular Variation for Distributions in Queueing and Fluctuation Theory,'' J. Appl. Prob., Vol.10, pp.343-353, 1973.
Coh82
 J. Cohen, The Single Server Queue, North Holland, 1982 (Second Edition).
CrB97
 M. Crovella and A. Bestavros, ``Self-Similarity in World Wide Web Traffic: Evidence and Possible Causes,'' IEEE/ACM Trans. on Networking, Vol.5, No.6, pp.835-846, December 1997.
Cru91
 R. Cruz, ``A Calculus for Network Delay, Part I: Network Elements in Isolation,'' IEEE Trans. on Information Theory, Vol.37, No.1, pp.114-131, January 1991.
DuC95
 N.G. Duffield and N. O'Connell, ``Large Deviations and Overflow Probabilities for the General Single Server Queue, with Applications,'' Mathematical Proceedings of the Cambridge Philosophical Society, No.118, pp.363-374, 1995.
ENW96
 A. Erramilli, O. Narayan and W. Willinger, ``Experimental Queueing Analysis with Long-Range Dependent Packet Traffic,'' IEEE/ACM ToN, Vol.4, No.2, pp.209-223, April 1996.
Fel71
 W. Feller, An Introduction to Probability Theory and Its Applications, Volume II, John Wiley & Sons, 1971 (Second Edition).
FeW98
 A. Feldmann and W. Whitt, ``Fitting Mixture of Exponentials to Long-Tail Distributions to Analyze Network Performance Models,'' Performance Evaluation, Vol.31, pp.245-279, 1998.
GAN91
 R. Guérin, H. Ahmadi, and M. Naghshineh, ``Equivalent Capacity and Its Application to Bandwidth Allocation in High-Speed Networks,'' IEEE Journal on Selected Areas in Communications, Vol.9, No.7, pp.968-981, September 1991.
GJK99
 M. Greiner, M. Jobmann and C. Klüppelberg, ``Telecommunication Traffic, Queueing Models, and Subexponential Distributions,'' to appear in Queueing Systems, 1999.
GJL99
 M. Greiner, M. Jobmann and L. Lipsky, ``The Importance of Power-tail Distributions for Telecommunication Traffic Models,'' to appear in Operations Research, 1999.
GoK98
 C. Goldie and C. Klüppelberg, ``Subexponential Distributions,'' in A Practical Guide to Heavy Tails: Statistical Techniques for Analysing Heavy Tailed Distributions, pp.435-459, R. Adler, R. Feldman, M. Taqqu (Eds), Birkhäuser, 1998.
GVC97
 P. Goyal, H. Vin, and H. Cheng, ``Start-Time Fair Queueing: A Scheduling Algorithm for Integrated Services Packet Switching Networks,'' IEEE/ACM Trans. on Networking, Vol.5, No.5, pp.690-704, October 1997.
HeL86
 H. Heffes and D. Lucantoni, ``Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance,'' IEEE Journal on Selected Areas in Communications, Vol.4, No.6, pp.856-868, 1986.
JeL96
 P. Jelenkovic, and A. Lazar, ``The Asymptotic Behavior of a Network Multiplexer with Multiple Time Scale and Subexponential Arrivals,'' in Stochastic Networks: Stability and Rare Events, pp.215-235, Springer Verlag, editors: P. Glasserman, K. Sigman, and D.D. Yao, 1996.
Jel96
 P. Jelenkovic, ``The Effect of Multiple Time Scales and Subexponentiality on the Behavior of a Broadband Network Multiplexer,'' Ph.D. thesis, Columbia University, 1996.
Kar96
 G. Karlsson, ``Asynchronous Transfer of Video,'' IEEE Communications Magazine, pp.118-126, August 1996.
KLS98
 V. Kumar, T. Lakshman, and D. Stiliadis, ``Beyond Best Effort: Router Architectures for the Differentiated Services of Tomorrow's Internet,'' IEEE Communications Magazine, Vol.36, No.5, pp.152-164, May 1998.
Kur92
 J. Kurose, ``On Computing Per-Session Performance Bounds in High-Speed Multi-Hop Computer Networks,'' Perform. 92, Newport, CA, June 1992.
Lee95
 K. Lee, ``Performance Bounds in Communication Networks with Variable-Rate Links,'' Sigcomm '95, pp.126-136.
LTW94
 W. Leland, M. Taqqu, W. Willinger and D. Wilson, ``On the Self-Similar Nature of Ethernet Traffic (Extended Version),'' IEEE/ACM Trans. on Networking, Vol.2, No.1, pp.1-15, 1994.
Mag88
 B. Maglaris et al., ``Performance Models of Statistical Multiplexing in Packet Video Communication,'' IEEE Trans. on Communications, Vol.36, No.7, pp.834-844, July 1988.
Man71
 B. Mandelbrot, ``A Fast Fractional Gaussian Noise Generator,'' Water Resources Research, Vol.7, No.3, pp.543-553, 1971.
Nor95
 I. Norros, ``On the Use of Fractional Brownian Motion in the Theory of Connectionless Networks,'' IEEE JSAC, Vol.13, No.6, pp.953-962, August 1995.
PaF95
 V. Paxson and S. Floyd, ``Wide Area Traffic: The Failure of Poisson Modeling,'' IEEE/ACM Trans. on Networking, Vol.3, No.3, pp.226-244, June 1995.
PaG94
 A. Parekh and R. Gallager, ``A Generalized Processor Sharing Approach to Flow Control in Integrated Services Networks: The Multiple Node Case,'' IEEE/ACM ToN, Vol.2, No.2, pp.137-150, April 1994.
Pak75
 A. Pakes, ``On the Tails of Waiting-Time Distributions,'' J. Appl. Prob., Vol.12, pp.555-564, 1975.
Par94
 C. Partridge, Gigabit Networking, MA: Addison Wesley, 1994.
PeE96
 H.G. Perros, and K.M. Elsayed, ``Call Admission Control Schemes: A Review,'' IEEE Communications Magazine, pp.82-91, November 1996.
PKO76
 J. Patel, C. Kapadia, and D. Owen, Handbook of Statistical Distributions, Marcel Dekker, NY, 1976.
Pry93
 Martin de Prycker, Asynchronous Transfer Mode, 2nd ed, New York: Ellis Norwood, 1993.
ReS98
 S. Resnick and G. Samorodnitsky, ``Fluid Queues, Leaky Buckets, On-Off Processes and Teletraffic Modeling with Highly Variable and Correlated Inputs,'' in Self-Similar Network Traffic and Performance Evaluation, K. Park and W. Willinger (Eds), Wiley, 1998.
RoL97
 S. Robert and J.-Y. Le Boudec ``New Models for Pseudo Self-Similar Traffic,'' Performance Evaluation, Vol.30, pp.57-68, 1997.
Sch96
 M. Schwartz, Broadband Integrated Networks , Prentice-Hall, Upper Saddle River, NJ, 1996.
SPG97
 S. Shenker, C. Partridge, and R. Guérin, ``Specification of Guaranteed Quality of Service,'' RFC 2212, IETF, September 1997.
SrW86
 K. Sriram and W. Whitt, ``Characterizing Superposition Arrival Processes in Packet Multiplexers for Voice and Data,'' IEEE Journal on Selected Areas in Communications, Vol.4, No.6, pp.833-846, 1986.
StS98a
 D. Starobinski and M. Sidi, ``Stochastically Bounded Burstiness for Communication Networks,'' accepted for publication in the IEEE Transactions on Information Theory.
StS98b
 D. Starobinski and M. Sidi, ``Modeling and Analysis of Power-Tail Distributions via Classical Teletraffic Methods,'' accepted for publication in Queueing Systems (QUESTA).
StS99a
 D. Starobinski and M. Sidi, ``Stochastically Bounded Burstiness for Communication Networks,'' in the proceedings of INFOCOM '99, New York, March 1999.
StS99b
 D. Starobinski and M. Sidi, ``Modeling and Analysis of Heavy-Tailed Distributions via Classical Teletraffic Methods,'' in the proceedings of the 16th International Teletraffic Congress (ITC '16), Edinburgh, June 1999.
SWS97
 A. Scheller-Wolf and K. Sigman, ``Delay Moments for FIFO GI/GI/s Queues,'' Queueing Systems, Vol.25, pp.77-95, 1997.
TGT95
 D.N. Tse, R.G. Gallager, and J.H. Tsitsiklis, `` Statistical Multiplexing of Multiple Time-Scale Markov Streams,'' IEEE JSAC, Vol.13, No.6, pp.1028-38, August 1995.
Wol89
 R. Wolff, Stochastic Modeling and the Theory of Queues, Prentice-Hall, 1989.
Wro97
 J. Wroclawski, ``Specification of the Controlled-Load Network Element Service,'' RFC 2211, IETF, September 1997.
WTS95
 W. Willinger, M. Taqqu, R. Sherman, and Daniel Wilson, ``Self-Similarity Through High-Variability: Statistical Analysis of Ethernet LAN Traffic at the Source Level,'' in proceedings of Sigcomm '95, pp.100-113.
YaS93
 O. Yaron and M. Sidi, ``Performance and Stability of Communication Networks via Robust Exponential Bounds,'' IEEE/ACM ToN, Vol.1, No.3, pp.372-385, June 1993.
YaS94
 O. Yaron and M. Sidi, ``Generalized Processor Sharing Networks with Exponentially Bounded Burstiness Arrivals,'' Journal of High Speed Networks, Vol.3, pp.375-387, 1994.
Zha93
 L. Zhang et al.,``RSVP A New Resource ReSerVation Protocol,'' IEEE Network Magazine, Vol.7, pp.8-18, Sept./Oct. 1993.
ZTK95
 Z. Zhang, D. Towsley, and J. Kurose, ``Statistical Analysis of the Generalized Processor Sharing Scheduling Discipline,'' IEEE JSAC, Vol.13, No.6, pp.1071-80, August 1995.



David Starobinski

Mon Nov 1 15:20:02 PST 1999