Ward Whitt - Queueing Networks

Queueing Networks

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]
Multiple Channel Queues in Heavy Traffic III: Random Server Selection. Advances in Applied Probability, vol. 2, No. 2, Autumn 1970, pp. 370-375.
The Queueing Network Analyzer. Bell System Technical Journal, vol. 62, No. 9, November 1983, pp. 2779-2815. [published PDF]
Performance of the Queueing Network Analyzer. Bell System Technical Journal, vol. 62, No. 9, November 1983, pp. 2817-2843. [published PDF]
Approximations for Networks of Queues. Proceedings of the Tenth International Teletraffic Congress, Montreal, June 1983, Paper Number 4.1.1.
Toward an Approximation Theory for Point Processes and Networks of Queues. Newsletter of the ORSA/TIMS Applied Probability Group, Fall 1983, pp. 2-4.
Open and Closed Models for Networks of Queues. AT&T Bell Laboratories Technical Journal, vol. 63, No. 9, November 1984, pp. 1911-1979. [published PDF]
The Best Order for Queues in Series. Management Science, vol. 31, No. 4, April 1985, pp. 475-487. [published PDF]
The Amount of Overtaking in a Network of Queues. Networks, vol. 14, No. 3, Fall 1984, pp. 411-426. [published PDF]
Departures from a Queue with Many Busy Servers. Mathematics of Operations Research, Vol. 9, No. 4, November 1984, pp. 534-544.
Approximations for Departure Processes and Queues in Series. Naval Research Logistics Quarterly, vol. 31, No. 4, December 1984, pp. 499-521.
Open and Closed Models for Networks of Queues. AT&T Bell Laboratories Technical Journal, vol. 63, No. 9, November 1984, pp. 1911-1979. [published PDF]
The Best Order for Queues in Series. Management Science, vol. 31, No. 4, April 1985, pp. 475-487. [published PDF]
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).
Queues with Superposition Arrival Processes in Heavy Traffic. Stochastic Processes and Their Applications, vol. 21, No. 1, December 1985, pp. 81-91.
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]
The Influence of Service-Time Variability in a Closed Network of Queues. Performance Evaluation, vol. 6, September 1986, pp. 219-234 (with André B. Bondi).
A Light-Traffic Approximation for Single-Class Departure Processes from Multi-Class Queues. Management Science, vol. 34, No. 11, 1988, pp. 1333-1346.
A Queueing Network Analyzer for Manufacturing. Teletraffic Science for New Cost-Effective Systems, Networks and Services, Proceedings of ITC 12 (ed. M. Bonatti), North-Holland, Amsterdam, 1989, pp. 1146-1152 (with Moshe Segal). [published PDF]
Dependence in Packet Queues: A Multi-Class Batch-Poisson Model. Teletraffic Science for New Cost-Effective Systems, Networks and Services, Proceedings of ITC 12, (ed. M. Bonatti), North-Holland, Amsterdam, 1989, pp. 1450-1454 (with Kerry W. Fendick and Vikram R. Saksena).
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]
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]
Arranging Queues in Series: A Simulation Experiment. Management Science, vol. 36, No. 2, 1990, pp. 1080-1091 (with S. Suresh). [PostScript] [PDF]
The Heavy-Traffic Bottleneck Phenomenon in Open Queueing Networks. Operations Research Letters, vol. 9, No. 6, 1990, pp. 355-362 (with S. Suresh). [published PDF]
Departures from Many Queues in Series. Annals of Applied Probability, vol. 1, No. 4, 1991, pp. 546-572 (with Peter W. Glynn). [PostScript] [PDF]
Networks of Infinite-Server Queues with Nonstationary Poisson Input. Queueing Systems, vol. 13, No. 1, 1993, pp. 183-250 (with William A. Massey).
Using Distributed-Event Parallel Simulation to Study Many Queues in Series. Probability in the Engineering and Informational Sciences, vol. 7, No. 2, 1993, pp. 159-186 (with Albert G. Greenberg and Otmar Schlunk). [PostScript] [PDF]
Diffusion Approximations for Open Queueing Networks with Service Interruptions. Queueing Systems, vol. 13, No. 4, 1993, pp. 335-359 (with Hong Chen).
Large Fluctuations in a Deterministic Multiclass Network of Queues, Management Science, vol. 39, No. 8, 1993, pp. 1020-1028. [publishedPDF]
Tail Probabilities with Statistical Multiplexing and Effective Bandwidths in Multiclass Queues. Telecommunication Systems, vol. 2, 1993, pp. 71-107.
An Algorithm for Closed Queueing Networks Based on Numerical Transform Inversion. Proceedings of the 1994 Conference on Information Science and Systems, ed. H. Kobayashi, Department of Electrical Engineering, Princeton University, pp. 7-11 (with Gagan L. Choudhury and Kin K. Leung).
Towards Better Multi-Class Parametric-Decomposition Approximations for Open Queueing Networks. Annals of Operations Research, vol. 48, 1994, pp. 221-248. [PostScript] [PDF]
Variability Functions for Parametric-Decomposition Approximations of Queueing Networks. Management Science, vol. 41, No. 10, 1995, pp. 1704-1715. [PostScript] [PDF]
Calculating Normalization Constants of Closed Queueing Networks by Numerically Inverting Their Generating Functions. Journal of the Association for Computing Machinery, vol. 42, 1995, pp. 935-970 (with Gagan L. Choudhury and Kin K. Leung). [PostScript] [PDF] From ACM Digital Library.
Functional Large Deviation Principles for Waiting and Departure Processes. Probability in the Engineering and Informational Sciences, vol. 12, 1998, pp. 479-507 (with Anatolii Puhalskii).
Long-Tail Buffer-Content Distributions in Broadband Networks. Performance Evaluation, Vol. 30, 1997, pp. 177-190 (with Gagan L. Choudhury). [PostScript] [PDF]
Decomposition Approximations for Time-Dependent Markovian Queueing Networks. Operations Research Letters, vol. 24, April 1999, pp. 97-103. [PostScript] [PDF]
The Reflection Map with Discontinuities. Mathematics of Operations Research, vol. 26, No. 3, 2001, pp. 447-484. [PostScript] [PDF]
BOOK: Stochastic-Process Limits, published by Springer in 2002 (602 pages).
Internet Supplement to the Book, published by Springer in 2002 (602 pages).

Related topics:

Approximations for Queues

Heavy-Traffic Limits and Diffusion Approximations for Queues

Customer Contact Centers or Telephone Call Centers

Stochastic Networks