Publications with Nicholas G. Duffield
I became aware of
shortly after he shifted his focus from mathematical physics to communications networks
and performance analysis models around 1992. Nick was able to apply his skills in
large deviations theory and other asymptotic methods,
honed on mean-field quantum spin systems and the like, to obtain
very impressive results for queueing models.
My collaborations with Nick
began in 1996 in when he
joined the Mathematics of Services Department headed by Albert Greenberg,
a precursor of the current
IP Network Management and Performance Department
in the Internet and Networking Systems Research Laboratory, headed by
Ever since the formation of our department, Nick has played a leading role in setting up the
My research with Nick focused on
source traffic models that can represent complex Internet traffic and
asymptotic methods to analyze the performance of complex systems. See the
overview of our department's work on
Recovery from Congestion in a Large Multi-Server System.
Teletraffic Contributions for the Information Age, Proceedings of ITC 15,
V. Ramaswami and P. E. Wirth (eds.), Elsevier, Amsterdam, 1997, pp. 371-380.
Control and Recovery from Rare Congestion Events in a Large Multi-Server System.
Queueing Systems, vol. 26, 1997, pp. 69-104.
A Source Traffic Model and its Transient Analysis for Network Control.
Stochastic Models, vol. 14, Nos. 1 and 2, 1998, pp. 51-78.
Large Deviations for Inverse Processes with Nonlinear
Annals of Applied Probability,
vol. 9, No. 4, 1998.
Network Design and Control Using On-Off and Multi-Level Source Traffic Models
with Heavy-Tailed Distributions.
Chapter in Self-Similar Network Traffic and Performance Evaluation,
Kihong Park and Walter Willinger, eds., Wiley, New York,
2000, pp. 421-445.
A Nonstationary Offered-Load Model for Packet Networks.
vol. 13, Nos. 3,4, March-April 2001, pp. 271-296 (with William A. Massey).