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Some Asymptotic Properties of the Erlang-C Formula in Many-Server Limiting Regimes

Probability 2024-05-14 v4

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.

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Cite

@article{arxiv.2304.13845,
  title  = {Some Asymptotic Properties of the Erlang-C Formula in Many-Server Limiting Regimes},
  author = {Ragavendran Gopalakrishnan and Yueyang Zhong},
  journal= {arXiv preprint arXiv:2304.13845},
  year   = {2024}
}

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14 pages