Some asymptotic properties of the Erlang-C formula in many-server limiting regimes

Gopalakrishnan, R and Zhong, Y (2024) Some asymptotic properties of the Erlang-C formula in many-server limiting regimes. Operations Research Letters, 54. pp. 107-116. ISSN 0167-6377

Abstract

This paper presents asymptotic properties of the Erlang-C formula in a spectrum of many-server limiting regimes. Specifically, we address an important gap in the literature regarding its limiting value in critically loaded regimes by studying extensions of the well-known square-root safety staffing rule used in the Quality-and-Efficiency-Driven (QED) regime.