Time-dependent performance analysis of a discrete-time priority queue

  • Authors:
  • Joris Walraevens;Dieter Fiems;Herwig Bruneel

  • Affiliations:
  • SMACS Research Group, Department of Telecommunications and Information Processing (IR07), Ghent University - UGent, Sint-Pietersnieuwstraat 41, B-9000 Gent, Belgium;SMACS Research Group, Department of Telecommunications and Information Processing (IR07), Ghent University - UGent, Sint-Pietersnieuwstraat 41, B-9000 Gent, Belgium;SMACS Research Group, Department of Telecommunications and Information Processing (IR07), Ghent University - UGent, Sint-Pietersnieuwstraat 41, B-9000 Gent, Belgium

  • Venue:
  • Performance Evaluation
  • Year:
  • 2008

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Abstract

We present the transient analysis of the system content in a two-class discrete-time M^X/D/1 priority queue. In particular, we derive an expression for the generating function of the transient system contents of both classes at the beginning of slots. Performance measures are calculated from this generating function. To illustrate our approach we conclude with some examples.