Large Deviation Limits and Tail Probability Asymptotics (Including Effective Bandwidths)

Tail Probabilities with Statistical Multiplexing and Effective Bandwidths in
Multiclass Queues.
Telecommunication Systems, vol. 2, 1993, pp. 71107.
[published PDF]

HeavyTraffic Asymptotic Expansions for the Asymptotic Decay Rates in the BMAP/G/1 Queue.
Proceedings of the ITC Seminar on Teletraffic Analysis Methods for Current and Future Telecom Networks,
Bangalore, India, November 1993, pp. 129136.
(with Gagan L. Choudhury).

HeavyTraffic Asymptotic Expansions for the Asymptotic Decay Rates in the
BMAP/G/1 Queue.
Stochastic Models, vol. 10, No. 2, 1994,
pp. 453498 (with Gagan L. Choudhury).
[PostScript]
[PDF]
[published PDF]

Asymptotics for SteadyState Tail Probabilities in Structured Markov Queueing Models.
Stochastic Models, vol. 10, No. 1, 1994, pp. 99143
(with Joseph Abate and Gagan L. Choudhury).
[PDF]

On the Effectiveness of Effective Bandwidths for Admission Control in ATM Networks.
The Fundamental Role of Teletraffic in the Evolution of Telecommunications
Networks, Proceedings of the 14th International Teletraffic Congress,
J. Labetoulle and J. W. Roberts (eds.), Elsevier,
Amsterdam, vol. 1a, 1994, pp. 411420
(with Gagan L. Choudhury and David M. Lucantoni).

Numerical Transform Inversion to Analyze Teletraffic Models.
The Fundamental Role of Teletraffic in the Evolution of Telecommunications Networks, Proceedings of the 14th International Teletraffic Congress,
J. Labetoulle and J. W. Roberts (eds.), Elsevier, Amsterdam,
vol. 1b, 1994, 10431052
(with Gagan L. Choudhury and David M. Lucantoni).
[PostScript]
[PDF]

WaitingTime Tail Probabilities in Queues with LongTail ServiceTime Distributions.
Queueing Systems, vol. 16, 1994, pp. 311338
(with Joseph Abate and Gagan L. Choudhury).
[published PDF]

Logarithmic Asymptotics for SteadyState Tail Probabilities in a SingleServer Queue.
Studies in Applied Probability, Papers in Honour of Lajos Takács, J. Galambos and J. Gani (eds.), Applied
Probability Trust, Sheffield, England, 1994, pp. 131156 (with Peter W. Glynn).
[published PDF]

Large Deviations Behavior of Counting Processes and Their Inverses.
Queueing Systems, vol. 17, 1994, pp. 107128 (with Peter W. Glynn).
[published PDF]

A HeavyTraffic Expansion for the Asymptotic Decay Rates of Tail Probabilities in MultiChannel Queues.
Operations Research Letters, vol. 15, 1994, pp. 223230 (with Joseph Abate).
[PostScript]
[PDF]

Exponential Approximations for Tail
Probabilities in Queues, I:
Waiting Times.
Operations Research, vol. 43, 1995, pp. 885901
(with Joseph Abate and Gagan L. Choudhury).
[published PDF]

Asymptotic Analysis of Tail Probabilities Based on the
Computation of Moments.
Annals of Applied Probability,
vol. 5, 1995, pp. 9831007
(with Joseph Abate, Gagan L. Choudhury and David M. Lucantoni).
[published PDF]

Squeezing the Most Out of ATM.
IEEE Transactions on Communications,
vol. 44, No. 2, 1996, pp. 203217
(with Gagan L. Choudhury and David M. Lucantoni).
[published PDF]

Exponential Approximations for Tail Probabilities in Queues, II: Sojourn Time and Workload.
Operations Research, vol. 44, 1996, pp. 758763
(with Joseph Abate and Gagan L. Choudhury).
[published PDF]
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Functional Large Deviation Principles for Queues.
Proceedings of 34th Allerton Conference on Communication, Control and Computing, S. P. Meyn and W. K. Jenkins (eds.), 1996, pp. 722731
(with Anatolii A. Puhalskii).
}

Asymptotics for M/G/1 LowPriority WaitingTime Tail Probabilities.
Proceedings of 34th Allerton Conference on Communication, Control and Computing,
S. P. Meyn and W. K. Jenkins (eds.) 1996, pp. 923931
(with Joseph Abate).

Fitting Mixtures of Exponentials to LongTail Distributions to
Analyze Network Performance Models.
IEEE Infocom `97,
1997, pp. 10981106
(with Anja Feldmann).
[published PDF]

Functional Large Deviations Principles for FirstPassageTime Processes.
Annals of Applied Probability,
vol. 7, No. 2, 1997, pp. 362381
(with Anatolii Puhalskii).
[published PDF]

Recovery from Congestion in a Large MultiServer System.
Teletraffic Contributions for the Information Age, Proceedings of ITC 15,
V. Ramaswami and P. E. Wirth (eds.), Elsevier,
Amsterdam, 1997, pp. 371380 (with Nicholas G. Duffield).

Asymptotics for M/G/1 LowPriority WaitingTime Tail Probabilities.
Queueing Systems,
vol. 25, 1997, pp. 173223 (with Joseph Abate).
[published PDF]

Control and Recovery from Rare Congestion Events in a Large MultiServer
System.
Queueing Systems, vol. 26, 1997, pp. 69104 (with Nicholas G. Duffield).
[published PDF]

Fitting Mixtures of Exponentials to LongTail Distributions to Analyze Network Performance Models.
Performance Evaluation,
vol. 31, 1998, pp. 245279 (with Anja Feldmann).
[published PDF]

Effective Bandwidths with Priorities.
IEEE/ACM Transactions on Networking,
vol. 6, No. 4, August 1998, pp. 447460 (with Arthur W. Berger).
[PostScript]
[PDF]
[PDF file from IEEE]
[published PDF]

Functional Large Deviation Principles for Waiting and Departure Processes.
Probability in the Engineering and Informational Sciences, vol. 12, 1998, pp. 479507 (with Anatolii Puhalskii).
[published PDF]

Modeling ServiceTime Distributions with NonExponential Tails: Beta Mixtures
of Exponentials.
Stochastic Models, vol. 15, No. 3, 1999, pp. 517546
(with Joseph Abate).
[PostScript]
[PDF]

Explicit M/G/1 WaitingTime Distributions for a Class of LongTail ServiceTime Distributions.
Operations Research Letters, vol. 25, No. 1, August 1999, pp. 2531.
[published PDF]

Winning the Hand of the Princess Saralinda.
Chapter 16, pp. 231246 in
Appied Probability and Stochastic Processes, Festschrift for Julian Keilson, J. G. Shanthikumar and U. Sumita (eds.), Kluwer,
Boston (with Peter W. Glynn).
[PostScript]
[PDF]

Network Design and Control Using OnOff and MultiLevel Source Traffic Models with HeavyTailed Distributions.
Chapter in SelfSimilar Network Traffic and Performance Evaluation,
Kihong Park and Walter Willinger, eds., Wiley, New York,
2000, pp. 421445. (with Nicholas G. Duffield).
[PostScript]
[PDF]

The Impact of a HeavyTailed ServiceTime Distribution upon
the M/GI/s WaitingTime Distribution,.
Queueing Systems, vol. 36, 2000, pp. 7187.
[published PDF]

Predicting Response Times in ProcessorSharing Queues.
In Proceedings of the Fields Institute Conference on
Communication Networks, P. W. Glynn, D. J. MacDonald
and S. J. Turner, (eds.) (with Amy R. Ward).
[PostScript]
[PDF]

Workload Bounds in Fluid Models with Priorities.
Performance Evaluation, vol. 41, 2000, pp. 249267
(with Arthur W. Berger).
[PostScript]
[PDF]

An Overview of Brownian and NonBrownian FCLTs for SingleServer Queues.
Queueing Systems, vol. 36, 2000, pp. 3970.
[PostScript]
[PDF]
[published PDF]
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