A functional approximation for the M/G/1/N queue

  • Authors:
  • Karim Abbas;Bernd Heidergott;Djamil Aïssani

  • Affiliations:
  • LAMOS, University of Bejaia, Bejaia, Algeria;Department of Econometrics, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands;LAMOS, University of Bejaia, Bejaia, Algeria

  • Venue:
  • Discrete Event Dynamic Systems
  • Year:
  • 2013

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Abstract

This paper presents a new approach to the functional approximation of the M/G/1/N built on a Taylor series approach. Specifically, we establish an approximative expression for the remainder term of the Taylor series that can be computed in an efficient manner. As we will illustrate with numerical examples, the resulting Taylor series approximation turns out to be of practical value.