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Queue-Size Distribution in M/G/1-Type System with Bounded Capacity and Packet Dropping

  • Oleg Tikhonenko
  • Wojciech M. Kempa
Part of the Communications in Computer and Information Science book series (CCIS, volume 356)

Abstract

A single-server queueing system of M/G/1-type with boun- ded total volume is considered. It is assumed that volumes of arriving packets are generally distributed random variables. The AQM-type mechanism is used to control the actual buffer state: each of arriving packets is dropped with probability depending on its volume and the occupied volume of the system at the pre-arrival epoch. The explicit formulae for the stationary queue-size distribution and loss probability are found.

Keywords

AQM algorithms finite buffer loss probability single-server queueing system queue-size distribution 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Oleg Tikhonenko
    • 1
  • Wojciech M. Kempa
    • 2
  1. 1.Institute of MathematicsCzestochowa University of TechnologyCzestochowaPoland
  2. 2.Institute of MathematicsSilesian University of TechnologyGliwicePoland

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