arXiv Analytics

Sign in

arXiv:1112.3689 [math.PR]AbstractReferencesReviewsResources

A short note on the monotonicity of the Erlang C formula in the Halfin-Whitt regime

Bernardo D'Auria

Published 2011-12-15Version 1

We prove a monotonicity condition satisfied by the Erlang C formula when computed in the Halfin-Whitt regime. This property was recently conjectured in Janssen et al. [2011].

Comments: 4 pages, 2 figures
Categories: math.PR
Subjects: 60K25
Related articles: Most relevant | Search more
arXiv:1707.07775 [math.PR] (Published 2017-07-25)
Heavy-tailed queues in the Halfin-Whitt regime
arXiv:1404.1957 [math.PR] (Published 2014-04-07, updated 2014-08-23)
Ergodic Control of Multi-Class M/M/N+M Queues in the Halfin-Whitt Regime
arXiv:0912.2837 [math.PR] (Published 2009-12-15)
The $G/GI/N$ queue in the Halfin--Whitt regime

Links

Toolbox