Abstract
Loss networks in heavy traffic under Kelly's scaling are analyzed. In the case of a single node and $R$ classes of calls, a degenerate diffusion approximation theorem around the corresponding fluid limit in an $({R-1})$-dimensional hyperplane is proved.
Citation
Christine Fricker. Philippe Robert. Danielle Tibi. "A degenerate central limit theorem for single resource loss systems." Ann. Appl. Probab. 13 (2) 561 - 575, May 2003. https://doi.org/10.1214/aoap/1050689594
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