A diffusion regime with nondegenerate slowdown

Rami  Atar

3rd International ICST Conference on Performance Evaluation Methodologies and Tools

Research Article

A diffusion regime with nondegenerate slowdown

Cite: BibTeX Plain Text

@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

Rami Atar¹

1: Technion Israel

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.

Published: 2010-05-16
Publisher: ICST

: http://dx.doi.org/10.4108/icst.valuetools.2008.54