Functional limit theorems for the number of busy servers in a G/G/∞ queue
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, respectively, thereby solving two open problems stated in Mikosch and Resnick (2006. A new integral representation for the limit Gaussian process is given.
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