Approximations for the Steady-State Performance of a Queue
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Weak Convergence Theorems for Queues in Heavy Traffic. Ph.D. Thesis, Cornell University January 1969.
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Multiple Channel Queues in Heavy Traffic I.
Advances in Applied Probability,
vol. 2, No. 1, Spring 1970, pp. 150-177 (with Donald L. Iglehart).
[published PDF]
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Multiple Channel Queues in Heavy Traffic II: Sequences, Networks, and Batches. Advances in Applied Probability,
vol. 2, No. 2, Autumn 1970, pp. 355-369 (with Donald L. Iglehart).
[published PDF]
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Multiple Channel Queues in Heavy Traffic III: Random Server Selection.
Advances in Applied Probability, vol. 2, No. 2, Autumn 1970, pp. 370-375.
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Weak Convergence Theorems for Priority Queues: Preemptive-Resume Discipline.
Journal of Applied Probability, vol. 8, No. 1, March 1971, pp. 74-94.
[published PDF]
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Heavy-Traffic Limits for Queues with
Many Exponential Servers.
Operations Research, vol. 29, No. 3, May-June 1981,
pp. 567-588 (with Shlomo Halfin).
[published PDF]
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Refining Diffusion Approximations for
Queues.
Operations Research Letters,
vol. 1, No. 5, November 1982, pp. 165-169.
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The Marshall and Stoyan Bounds for IMRL/G/1
Queues Are Tight.
Operations Research Letters,
vol. 1, No. 6, December 1982, pp. 209-213.
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On the Heavy-Traffic Limit Theorem
For GI/G/infty; Queues.
Advances in Applied Probability, vol. 14, No. 1,
March 1982, pp. 171-190.
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Comparing Batch Delays and Customer Delays.
Bell System Technical Journal,
vol. 62, No. 7,
September 1983, pp. 2001-2009.
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On Approximations for Queues, I: Extremal Distributions.
AT&T Bell Laboratories Technical Journal,
vol. 63, No. 1, January 1984, pp. 115-138.
[published PDF]
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On Approximations for Queues, II: Shape Constraints.
AT&T Bell Laboratories Technical Journal, vol. 63, No. 1,
January 1984, pp. 139-161 (with John G. Klincewicz).
[published PDF]
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On Approximations for Queues, III: Mixtures of Exponential Distributions.
AT&T Bell Laboratories Technical Journal,
vol. 63, No. 1, January 1984,
pp. 163-175.
[published PDF]
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Heavy Traffic Approximations
for Service Systems with Blocking.
AT&T Bell Laboratories Technical Journal, vol. 63, No. 4, May-June
1984, pp. 689-708.
[published PDF]
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Characterizing Superposition Arrival Processes and the Performance of
Multiplexers for Voice and Data.
Proceedings of IEEE Global Telecommunications Conference,
New Orleans, December 1985, vol. 2, pp. 25.4.1-7 (with K. Sriram).
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Queues with Superposition Arrival Processes in Heavy Traffic.
Stochastic Processes and Their Applications,
vol. 21, No. 1, December 1985, pp. 81-91.
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Characterizing Superposition Arrival Processes in Packet Multiplexers for Voice
and Data.
IEEE Journal on Selected Areas in Communications,
vol. SAC-4, No. 6, September 1986, pp. 833-846 (with K. Sriram).
[published PDF]
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Dependence in Packet Queues: A Multi-Class Batch-Poisson Model.
Teletraffic Science for New Cost-Effective Systems, Networks and Services,
ITC 12, (ed. M. Bonatti), North-Holland,
Amsterdam, 1989, pp. 1450-1454 (with Kerry W. Fendick and Vikram R. Saksena).
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Measurements and Approximations to Describe the Offered Traffic and Predict the
Average Workload in a Single-Server Queue.
Proceedings of the IEEE,
vol. 77, No. 1, 1989, pp. 171-194, (with Kerry W. Fendick).
(Reprinted in Stochastic Analysis of Computer and Communication Systems (ed. H. Takagi),
North-Holland, Amsterdam, 1990, pp. 3-56.)
[published PDF]
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Dependence in Packet Queues.
IEEE Transactions on Communications,
vol. 37, No. 11, 1989, pp. 1173-1183
(with Kerry W. Fendick and Vikram R. Saksena).
[published PDF]
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An Interpolation Approximation for the Mean Workload in a GI/G/1 Queue.
Operations Research, vol. 37, No. 6, 1989, pp. 936-952.
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Diffusion Approximations for Queues with Server Vacations.
Advances in Applied Probability,
vol. 22, No. 3, 1990, pp. 706-729 (with Offer Kella).
[published PDF]
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Queues with Service Times and Interarrival Times Depending Linearly and
Randomly Upon Waiting Times.
Queueing Systems , vol. 6, No. 4, 1990, pp. 335-351.
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Investigating Dependence in Packet Queues with the Index of Dispersion
for Work.
IEEE Transactions on Communications, vol. 39, No. 8, 1991, pp. 1231-1244 (with Kerry W. Fendick and Vikram R. Saksena).
[published PDF]
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Queues with Server Vacations and Lévy Processes with Secondary Jump Input.
Annals of Applied Probability , vol. 1, No. 1, 1991, pp. 104-117 (with Offer Kella).
[PostScript]
[PDF]
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A New View of the Heavy-Traffic Limit for Infinite-Server Queues.
Advances in Applied Probability, vol. 23, No. 1, 1991, pp. 188-209 (with Peter W. Glynn).
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A Storage Model with a Two-State Random Environment.
Operations Research, vol. 40, Supplement 2, 1992, pp. S257-S262 (with Offer Kella).
[PostScript]
[PDF]
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Useful Martingales for Stochastic Storage Processes with Lévy Input.
Journal of Applied Probability, vol. 29, No. 2, 1992, pp. 396-403 (with Offer Kella).
[published PDF]
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The Brownian Approximation for Rate-Control Throttles and the G/G/1/C Queue.
Journal of Discrete Event Dynamic Systems, vol. 2, No. 1, 1992, pp. 7-60 (with Arthur W. Berger).
[published PDF].
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Understanding the Efficiency of Multi-Server Service Systems.
Management Science, vol. 38, No. 5, 1992, pp. 708-723.
[published PDF]
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Tail Probabilities with Statistical Multiplexing and Effective Bandwidths in
Multiclass Queues.
Telecommunication Systems, vol. 2, 1993, pp. 71-107.
[published PDF]
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Approximations for the GI/G/m Queue.
Production and Operations Management,
vol. 2, No. 2, 1993, pp. 114-161.
[published PDF]
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Asymptotics for Steady-State Tail Probabilities in Structured Markov Queueing Models.
Stochastic Models, vol. 10, No. 1, 1994, pp. 99-143
(with Joseph Abate and Gagan Choudhury).
[published PDF]
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Heavy-Traffic Asymptotic Expansions for the Asymptotic Decay Rates in the BMAP/G/1 Queue.
Stochastic Models, vol. 10, No. 2, 1994, pp. 453-498 (with Gagan L. Choudhury).
[PostScript]
[PDF]
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Waiting-Time Tail Probabilities in Queues with Long-Tail Service-Time Distributions.
Queueing Systems, vol. 16, 1994, pp. 311-338
(with Joseph Abate and Gagan L. Choudhury).
[published PDF]
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Logarithmic Asymptotics for Steady-State Tail Probabilities in a Single-Server Queue.
Studies in Applied Probability, Papers
in Honour of Lajos Takàcs, J. Galambos and J. Gani (eds.), Applied
Probability Trust, Sheffield, England, 1994, pp. 131-156. (with Peter Glynn)
[published PDF]
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A Heavy-Traffic Expansion for the Asymptotic Decay Rates of Tail Probabilities in Multi-Channel Queues.
Operations Research Letters, vol. 15, 1994, pp. 223-230 (with Joseph Abate).
[PostScript]
[PDF]
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Exponential Approximations for Tail Probabilities in Queues, I:
Waiting Times.
Operations Research, vol. 43, 1995, pp. 885-901
(with Joseph Abate and Gagan L. Choudhury).
[PostScript]
[PDF]
expontailOR95.pdf">[published PDF]
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Squeezing the Most Out of ATM.
IEEE Transactions on Communications,
vol. 44, No. 2, 1996, pp. 203-217
(with Gagan L. Choudhury and David M. Lucantoni).
[PostScript]
[PDF]
[published PDF]
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Exponential Approximations for Tail Probabilities in Queues, II: Sojourn Time and Workload.
Operations Research, vol. 44, 1996, pp. 758-763 (with Joseph Abate and Gagan L. Choudhury).
[PostScript]
[PDF]
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Long-Tail Buffer-Content Distributions in Broadband Networks.
Performance Evaluation, Vol. 30,
1997, pp. 177-190 (with Gagan L. Choudhury).
[PostScript]
[PDF]
[published PDF]
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Fluid and Diffusion Limits for Queues in Slowly Changing Random Environments.
Stochastic Models, vol. 13, No. 1, 1997, pp. 121-146
(with Gagan L. Choudhury, Avi Mandelbaum and Martin I. Reiman).
[PostScript]
[PDF]
[published PDF]
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Asymptotics for M/G/1 Low-Priority Waiting-Time Tail Probabilities.
Queueing Systems,
vol. 25, 1997, pp. 173-223 (with Joseph Abate).
[PostScript]
[PDF]
[published PDF]
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Limits and Approximations for the M/G/1 LIFO Waiting-Time Distribution.
Operations Research Letters, vol. 20, 1997, pp. 199-206
(with Joseph Abate).
[PostScript]
[PDF]
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Extending the Effective-Bandwidth Concept to Networks with Priority Classes.
IEEE Communications Magazine, vol. 36, No 8, August 1998, pp. 78-84 (with Arthur W. Berger).
[PostScript]
[PDF]
[PDF file from IEEE]
[published PDF]
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Effective Bandwidths with Priorities.
IEEE/ACM Transactions on Networking,
vol. 6, No. 4, August 1998, pp. 447-460 (with Arthur W. Berger).
[PostScript]
[PDF]
[PDF file from IEEE]
[published PDF]
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An Overview of Brownian and Non-Brownian FCLTs for Single-Server Queues.
Queueing Systems, to appear.
[PostScript]
[PDF]
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Limits for Cumulative Input Processes to Queues.
Probability in the Engineering and Information Sciences,
vol. 14, 2000, pp. 123-150.
[PostScript]
[PDF]
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Workload Bounds in Fluid Models with Priorities.
Performance Evaluation, to appear (with Arthur W. Berger).
[PostScript]
[PDF]
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