Calculating SteadyState Performance Distributions of a Queue by Numerical Transform Inversion

The FourierSeries Method for Inverting Transforms of Probability Distributions.
Queueing Systems, vol. 10, No. 1, 1992, pp. 588 (with Joseph Abate).
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Calculation of the GI/G/1 SteadyState WaitingTime Distribution and its Cumulants from Pollaczek's Formula.
Archiv für Elektronik und Übertragungstechnik,
vol. 47, No. 5/6, 1993, pp.311321 (with Joseph Abate and Gagan L. Choudhury).
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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).
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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).
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WaitingTime Tail Probabilities in Queues with LongTail ServiceTime Distributions.
Queueing Systems, vol. 16, 1994, pp. 311338 (with Joseph Abate and Gagan L. Choudhury).
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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).

Computing Transient and SteadyState Distributions in Polling Models
by Numerical Transform Inversion.
IEEE International Conference on Communications,
Seattle, WA, June 1995, pp. 803809 (with Gagan L. Choudhury).
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Q^{2}: A New Performance Analysis Tool Exploiting Numerical Transform
Inversion.
Proceedings of Third International Workshop on Modeling, Analysis and
Simulation of Computer and Telecommunication Systems,
(MASCOTS `95), Durham, NC, January 1995, pp. 411415 (with Gagan L. Choudhury).
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Calculating the M/G/1 BusyPeriod Density and the LIFO WaitingTime Distribution by Direct Numerical Transform Inversion.
Operations Research Letters,
vol. 18, 1995, pp. 113119 (with Joseph Abate and Gagan L. Choudhury).

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).
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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).
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Computing Distributions and Moments in Polling Models by Numerical Transform Inversion.
Performance Evaluation,
vol. 25, No. 4, 1996, pp. 267292
(with Gagan L. Choudhury).
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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).

Fluid and Diffusion Limits for Queues in Slowly Changing Random Environments.
Stochastic Models,
vol. 13, No. 1, 1997, pp. 121146
(with Gagan L. Choudhury, Avi Mandelbaum and Martin I. Reiman).
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Fitting Mixtures of Exponentials to LongTail Distributions to Analyze Network Performance Models.
IEEE Infocom `97,
1997, pp. 10981106
(with Anja Feldmann).
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Asymptotics for M/G/1 LowPriority WaitingTime Tail Probabilities.
Queueing Systems,
vol. 25, 1997, pp. 173223 (with Joseph Abate).
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Limits and Approximations for the M/G/1 LIFO
WaitingTime Distribution.
Operations Research Letters, vol. 20, 1997, pp. 199206
(with Joseph Abate).
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LongTail BufferContent Distributions in Broadband Networks.
Performance Evaluation, vol. 30, 1997, pp. 177190 (with Gagan L. Choudhury).
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Fitting Mixtures of Exponentials to LongTail
Distributions to Analyze Network Performance Models.
Performance Evaluation,
vol. 31, 1998, pp. 245279
(with Anja Feldmann).
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An Introduction to Numerical Transform Inversion and its Application to Probability Models. In
Computational Probability, W. Grassman (ed.), Kluwer, Boston, 1999, pp. 257323
(with Joseph Abate and Gagan Choudhury).
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