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On the asymptotic behaviour of the busy-period distribution in M/G/1 queues

Published online by Cambridge University Press:  01 July 2016

Anne-Marie De Meyer  and
J. L. Teugels
Anne-Marie De Meyer
Affiliation:
(Katholieke Universiteit Leuven)
J. L. Teugels
Affiliation:
(Katholieke Universiteit Leuven)
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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. 301 - 302
Copyright
Copyright © Applied Probability Trust 1980 

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References

1. Bingham, N. H. and Doney, R. A. (1974) Asymptotic properties of supercritical branching processes I: The Galton–Watson process. Adv. Appl. Prob. 6, 711–731.Google Scholar
2. De Haan, L. (1976) An Abel–Tauber theorem for Laplace transforms. J. London Math. Soc. (2) 13, 537–542.CrossRefGoogle Scholar
3. De Meyer, A.-M. and Teugels, J. L. (1980) On the asymptotic behaviour of the distributions of the busy period and service time in M/G/1. J. Appl. Prob. 17, (3).Google Scholar