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

publication date

  • August 2012

start page

  • 469

end page

  • 472

issue

  • 4

volume

  • 71

international standard serial number (ISSN)

  • 0257-0130

electronic international standard serial number (EISSN)

  • 1572-9443

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, 2011).