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Burst ratio for a versatile traffic model.

Andrzej Chydzinski1

  • 1Department of Computer Networks and Systems, Silesian University of Technology, Gliwice, Poland.

Plos One
|August 1, 2022
PubMed
Summary
This summary is machine-generated.

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This study introduces an exact formula for the burst ratio in finite-buffer queues with batch Markovian arrival processes (BMAP). This formula quantifies job loss tendency, crucial for computer networking traffic analysis.

Area of Science:

  • Queueing Theory
  • Computer Networks
  • Stochastic Processes

Background:

  • Finite-buffer queues are essential in systems like computer networks.
  • Job losses due to buffer overflows are a critical performance metric.
  • Understanding loss patterns, like burstiness, is vital for network stability.

Purpose of the Study:

  • To derive an exact formula for the burst ratio in finite-buffer queues.
  • To analyze the burst ratio using the versatile batch Markovian arrival process (BMAP).
  • To investigate the impact of system parameters on burst ratio through numerical examples.

Main Methods:

  • Utilizing the batch Markovian arrival process (BMAP) to model complex arrival streams.
  • Deriving an explicit, ready-to-use mathematical formula for the burst ratio.

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  • Conducting numerical analyses to demonstrate parameter impacts.

    • Main Results:

    • An exact formula for the burst ratio in queues with BMAP arrivals and arbitrary service times is presented.
    • The formula provides a ready-to-use tool for analyzing loss tendency.
    • Numerical examples illustrate how system parameters influence the burst ratio.

    Conclusions:

    • The derived formula offers a significant contribution to understanding burstiness in queueing systems.
    • The results are highly applicable to computer networking traffic analysis.
    • The versatile BMAP model allows for broader applications beyond networking.