MAP/SM/1/b model of packet buffer

  • Authors:
  • Krzysztof Rusek;Zdzisław Papir

  • Affiliations:
  • AGH University of Science and Technology, Krakow, Poland;AGH University of Science and Technology, Krakow, Poland

  • Venue:
  • Proceedings of the 24th International Teletraffic Congress
  • Year:
  • 2012

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Abstract

In some implementations, packet buffers are limited to a fixed number of packets regardless their lengths. Service times in a queuing model of such implementation are proportional to the packet lengths. Since packet lengths are not independent, the traditional queuing models assuming independence of service times are not suitable for such implementations. The new queuing model for such types of packet buffers is proposed. The buffer is described as a finite FIFO queuing system with a Markovian Arrival Process (MAP) and semi-Markov (SM) service times. The new analytical results for the loss ratio, the local loss intensity or the total number of losses are developed. All results are suitable either for a transient or a stationary analysis.