A Queuing Model for the Non-continuous Frame Assembly Scheme in Finite Buffers

  • Authors:
  • Boris Bellalta

  • Affiliations:
  • NeTS Research Group - Dpt. of Information and Communication Technologies, Universitat Pompeu Fabra, Barcelona, Spain 08003

  • Venue:
  • ASMTA '09 Proceedings of the 16th International Conference on Analytical and Stochastic Modeling Techniques and Applications
  • Year:
  • 2009

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Abstract

A batch-service finite-buffer queuing model for the non continuous frame assembly scheme is presented. The steady-state probabilities are computed by simply solving the bi-dimensional Markov chain which models the queueing system. However, transitions between states require to know the conditional (as it depends on each state) probability distribution of the on-going batch size, which in turn is computed from the queue departure distribution. Finally, the model is used to evaluate the system performance when the minimum (a ) and maximum (b ) batch size thresholds are tuned.