Heavy-Traffic Limits and Diffusion Approximations for Queueing Networks
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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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Departures from a Queue with Many Busy
Servers.
Mathematics of Operations Research, Vol. 9,
No. 4, November 1984, pp. 534-544.
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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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The Heavy-Traffic Bottleneck Phenomenon in Open Queueing Networks.
Operations Research Letters, vol. 9, No. 6, 1990, pp. 355-362
(with S. Suresh).
[PostScript]
[PDF]
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Departures from Many Queues in Series.
Annals of Applied Probability, vol. 1, No. 4, 1991, pp. 546-572 (with Peter W. Glynn).
[PostScript]
[PDF]
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Large Fluctuations in a Deterministic Multiclass Network of Queues,
Management Science, vol. 39, No. 8, 1993, pp. 1020-1028.
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Diffusion Approximations for Open Queueing Networks with Service Interruptions.
Queueing Systems, vol. 13, No. 4, 1993, pp. 335-359 (with Hong Chen).
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Towards Better Multi-Class Parametric-Decomposition Approximations for Open
Queueing Networks.
Annals of Operations Research,
vol. 48, 1994, pp. 221-248.
[PostScript]
[PDF]
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Periodic Load Balancing.
Queueing Systems, vol. 30, Nos. 1-2, 1998, pp. 203-250
(with Gísli Hjálmtýsson).
[PostScript]
[PDF]
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Approximations for Periodic Load Balancing.
37th IEEE Conference on Decision and Control, Tampa, Florida
(with Gísli Hjálmtýsson).
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The Reflection Map with Discontinuities.
Mathematics of Operations Research, vol. 26, No. 3, 2001,
pp. 447-484.
[PostScript]
[PDF]