July 4, 2013

Scaled control in the QED regime

We will present Scaled control in the QED regime at Performance 2013, which is joint work between A.J.E.M. Janssen, J.S.H. van Leeuwaarden and Jaron Sanders. You can find the preprint on arXiv. The published version appeared in the journal Performance Evaluation, volume 70, issue 10.

Scaled control in the QED regime

Abstract

We develop many-server asymptotics in the QED regime for models with admission control. The admission control, designed to reduce the incoming traffic in periods of congestion, scales with the size of the system. For a class of Markovian models with this scaled control, we identify the QED limits for two stationary performance measures. We also derive corrected QED approximations, generalizing earlier results for the Erlang B, C and A models. These results are useful for the dimensioning of large systems equipped with an active control policy. In particular, the corrected approximations can be leveraged to establish the optimality gaps related to square-root staffing and asymptotic dimensioning with admission control.

Preprint

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