Calculating Performance Distributions in Nonstationary Situations by Numerical Transform Inversion

Transient Behavior of the M/M/1 Queue: Starting at the
Origin.
Queueing Systems: Theory and Applications,
vol. 2, No. 1, 1987, pp. 4165
(with Joseph Abate).
[published PDF]

Transient Behavior of Regulated Brownian Motion I:
Starting at the Origin.
Advances in Applied Probability, vol. 19, No. 3, September 1987,
pp. 560598 (with Joseph Abate).
[published PDF]

Transient Behavior of Regulated Brownian Motion, II: NonZero
Initial Conditions.
Advances in Applied Probability,
vol. 19, No. 3, September 1987,
pp. 599631
(with Joseph Abate).
[published PDF]

Transient Behavior of the M/M/1 Queue Via Laplace Transforms.
Advances in Applied Probability,
vol. 20, No. 1, March 1988, pp. 145178 (with Joseph Abate).
[published PDF]

The Correlation Functions of RBM and M/M/1.
Stochastic Models,
vol. 4, No. 2, 1988, pp. 315359 (with Joseph Abate).
[published PDF]

Approximations for the M/M/1 Busy Period.
Queueing Theory and its Applications, Liber Amicorum for J. W. Cohen
NorthHolland, Amsterdam,
1988, pp. 149191 (with Joseph Abate).
[published PDF]

Solving Probability Transform Functional Equations} for Numerical Inversion.
Operations Research Letters, vol. 12, 1992, pp. 275281 (with Joseph Abate).
[published PDF]

Computing Transient Distributions in General SingleServer Queues.
Proceedings of IEEE Globecom 93,
No. 29.1, 1993, pp. 10451050
(with Gagan L. Choudhury and David M. Lucantoni).
[published PDF]

The Transient BMAP/G/1 Queue.
Stochastic Models, vol. 10, No. 1, 1994, pp. 145182 (with Gagan L. Choudhury and David M. Lucantoni).
[published PDF]

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]

MultiDimensional Transform Inversion with Applications to the Transient M/G/1 Queue.
Annals of Applied Probability
vol. 4, 1994, pp. 719740
(with Gagan L. Choudhury and David M. Lucantoni).
[published PDF]

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).
[PostScript]
[PDF]
[published PDF]

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).

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).
[published PDF]

Limits and Approximations for the BusyPeriod Distribution in SingleServer Queues.
Probability in the Engineering and Informational Sciences,
vol. 9, 1995, pp. 581602 (with Joseph Abate).
[PostScript]
[PDF]
[published PDF]

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

Numerical Solution of PiecewiseStationary M_{t}/G_{t}/1 Queues.
Operations Research, vol.~45, No.~3, 1997, pp. 451463,(with Gagan L. Choudhury and David M. Lucantoni).
[published PDF]

A Source Traffic Model and its Transient Analysis for Network Control.
Stochastic Models, vol. 14, Nos. 1 and 2, 1998, pp. 5178 (with Nicholas G. Duffield).
[PostScript]
[PDF]

Calculating Transient Characteristics of the Erlang Loss Model by
Numerical Transform Inversion.
Stochastic Models, vol. 14, No. 3, 1998, pp. 663680
(with Joseph Abate).
[PostScript]
[PDF]
[published PDF]

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).
[PostScript]
[PDF]

Computing Laplace Transforms for Numerical Inversion Via
Continued Fractions.
INFORMS Journal on Computing, vol. 11, No. 4, Fall 1999, pp. 394405
(with Joseph Abate).
[published 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. (with Nicholas G. Duffield).
[PostScript]
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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]
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