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A new heavy-traffic limit theorem for many-server queues

Published online by Cambridge University Press:  01 July 2016

Shlomo Halfin  and
Ward Whitt
Shlomo Halfin
Affiliation:
(Bell Laboratories)
Ward Whitt
Affiliation:
(Bell Laboratories)
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Abstract

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Type
Ninth Conference on Stochastic Processes and their Applications, Evanston, Illinois, 6–10 August 1979
Information
Advances in Applied Probability , Volume 12 , Issue 2 , June 1980 , pp. 295
Copyright
Copyright © Applied Probability Trust 1980 

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References

1. Borovkov, A. A. (1967) On limit laws for service processes in multi-channel systems. Siberian Math. J. 8, 746–763.CrossRefGoogle Scholar
2. Iglehart, D. L. (1965) Limit diffusion approximations for the many server queue and repairman problem. J. Appl. Prob. 2, 429–441.CrossRefGoogle Scholar
3. Iglehart, D. L. and Whitt, W. (1970) Multiple channel queues in heavy traffic, II: sequences, networks and batches. Adv. Appl. Prob. 2, 355–369.CrossRefGoogle Scholar
4. Kingman, J. F. C. (1961) The single server queue in heavy traffic. Proc. Camb. Phil. Soc. 57, 902–904.CrossRefGoogle Scholar