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

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  • D'Auria, Bernardo

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]

Suggested Citation

  • D'Auria, Bernardo, 2011. "A short note on the monotonicity of the Erlang C formula in the Halfin-Whitt regime," DES - Working Papers. Statistics and Econometrics. WS 12776, Universidad Carlos III de Madrid. Departamento de Estadística.
    • Handle: RePEc:cte:wsrepe:12776
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    References listed on IDEAS

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    1. Shlomo Halfin & Ward Whitt, 1981. "Heavy-Traffic Limits for Queues with Many Exponential Servers," Operations Research, INFORMS, vol. 29(3), pages 567-588, June.
    2. Sem Borst & Avi Mandelbaum & Martin I. Reiman, 2004. "Dimensioning Large Call Centers," Operations Research, INFORMS, vol. 52(1), pages 17-34, February.
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    Keywords

    Halfin-Whitt regime;

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