Research Article
A diffusion regime with nondegenerate slowdown
@INPROCEEDINGS{10.4108/icst.valuetools.2008.54, author={Rami Atar}, title={A diffusion regime with nondegenerate slowdown}, proceedings={3rd International ICST Conference on Performance Evaluation Methodologies and Tools}, publisher={ICST}, proceedings_a={VALUETOOLS}, year={2010}, month={5}, keywords={}, doi={10.4108/icst.valuetools.2008.54} }- Rami Atar
Year: 2010
A diffusion regime with nondegenerate slowdown
VALUETOOLS
ICST
DOI: 10.4108/icst.valuetools.2008.54
Abstract
In both the conventional and the Halfin-Whitt heavy traffic diffusion regimes, the slowdown (defined as the sojourn time/service time ratio) experienced by a typical customer, degenerates in the limit, to infinity and 1, respectively. In practice, however, it often occurs that delay and service time are comparable. We study a diffusion regime in which delay and service time are of the same order of magnitude. In a setting with many heterogeneous, exponential servers, (possibly with abandonment), we find the limiting joint law of these two processes.
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