Functional limit theorems for the number of busy servers in a G/G/∞ queue-Reference-Cited by-同舟云学术

Functional limit theorems for the number of busy servers in a G/G/∞ queue

Published:2018-03 Issue:1 Volume:55 Page:15-29
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:J. Appl. Probab.

Author:

Iksanov Alexander,Jedidi Wissem,Bouzeffour Fethi

Abstract

Abstract We discuss weak convergence of the number of busy servers in a G/G/∞ queue in the J1-topology on the Skorokhod space. We prove two functional limit theorems with random and nonrandom centering, thereby solving two open problems stated in Mikosch and Resnick (2006). A new integral representation for the limit Gaussian process is given.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

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