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Strong approximations for multiple channel queues in heavy traffic

Published online by Cambridge University Press:  14 July 2016

Zhang Hanqin ,
Hsu Guanghui  and
Wang Rongxin
Zhang Hanqin*
Affiliation:
Hebei Institute of Technology
Hsu Guanghui*
Affiliation:
Institute of Applied Mathematics, Academia Sinica
Wang Rongxin*
Affiliation:
Xian Jiaotong University
*
∗Postal address: Teaching and Research Section of Mathematics, Hebei Institute of Technology, Tianjin, The People's Republic of China.
∗∗Postal address: Institute of Applied Mathematics, Academic Sinica, Beijing, The People's Republic of China.
∗∗∗Postal address: Department of Mathematics, Xian Jiaotong University, Xian, Shanxi Province, The People's Republic of China.
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Abstract

We prove strong approximations for multiple channel queues in heavy traffic. Strong approximations are given for the waiting time and queue length processes, and for embedded sequences associated with the length process.

Keywords

WIENER PROCESSWAITING TIMEQUEUE LENGTH
Type
Research Papers
Information
Journal of Applied Probability , Volume 27 , Issue 3 , September 1990 , pp. 658 - 670
Copyright
Copyright © Applied Probability Trust 1990 

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