{ "id": "1112.3689", "version": "v1", "published": "2011-12-15T23:25:50.000Z", "updated": "2011-12-15T23:25:50.000Z", "title": "A short note on the monotonicity of the Erlang C formula in the Halfin-Whitt regime", "authors": [ "Bernardo D'Auria" ], "comment": "4 pages, 2 figures", "categories": [ "math.PR" ], "abstract": "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].", "revisions": [ { "version": "v1", "updated": "2011-12-15T23:25:50.000Z" } ], "analyses": { "subjects": [ "60K25" ], "keywords": [ "halfin-whitt regime", "short note", "monotonicity condition" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1112.3689D" } } }