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On the speed of convergence for the queue length process of the GI/G/K system in heavy traffic

Published online by Cambridge University Press:  14 July 2016

Xing Jin  and
Rongxin Wang
Xing Jin*
Affiliation:
Institute of Applied Mathematics, Academia Sinica
Rongxin Wang*
Affiliation:
Xian Jiaotong University
*
∗Postal address: Institute of Applied Mathematics, Academia Sinica, Beijing, China.
∗∗Postal address: Department of Mathematics, Xian Jiaotong University, Xian, Shanxi Province, China.
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Abstract

This paper continues the study (initiated in [2]) of the GI/G/K system in heavy traffic. We give a Berry–Esseen type theorem for the rate of convergence of the queue length.

Keywords

WAITING TIMEIDLE PERIODRATE OF CONVERGENCE
Type
Research Papers
Information
Journal of Applied Probability , Volume 27 , Issue 2 , June 1990 , pp. 417 - 424
Copyright
Copyright © Applied Probability Trust 1990 

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References

[1] Chow, Y. S. and Teicher, H. (1978) Probability Theory. Springer-Verlag, Berlin,Google Scholar
[2] Jin, Xing (1988) On Berry-Esseen rate for queue length of the GI/G/K system in heavy traffic. J. Appl. Prob. 25, 596–611.Google Scholar
[3] Petrov, P. P. (1975) Sums of Independent Random Variables. Springer-Verlag, Berlin.Google Scholar