On the continued Erlang loss function

  • Authors:

  • A.A Jagers;Erik A Van Doorn

  • Affiliations:

  • Department of Applied Mathematics, Twente University of Technology, P.O. Box 217, 7500 AE Enschede, The Netherlands;Department of Applied Mathematics, Twente University of Technology, P.O. Box 217, 7500 AE Enschede, The Netherlands

  • Venue:
  • Operations Research Letters
  • Year:
  • 1986

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Abstract

We prove two fundamental results in teletraffic theory. The first is the frequently conjectured convexity of the analytic continuation B(x, a) of the classical Erlang loss function as a function of x, x = 0. The second is the uniqueness of the solution of the basic set of equations associated with the 'equivalent random method'.