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

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Title: A short note on the monotonicity of the Erlang C formula in the Halfin-Whitt regime.
Authors: D'Auria, Bernardo1 bernardo.dauria@uc3m.es
Source: Queueing Systems. Aug2012, Vol. 71 Issue 4, p469-472. 4p.
Subjects: ERLANG (Computer program language), Queueing networks, Call centers, Square root, Density functionals, Random variables
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., Queueing Syst. Theory Appl. 68:361-363, ). [ABSTRACT FROM AUTHOR]
Copyright of Queueing Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: 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., Queueing Syst. Theory Appl. 68:361-363, ). [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Queueing Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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