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    Study on Estimating Buffer Overflow Probabilities in High-Speed Communication Networks

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    2015 Study on Estimating Buffer ...
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    Author
    Lokshina, Izabella V.
    Keyword
    High-speed communication networks
    Estimating probability of buffer overflow
    Two-node queuing system with feedback
    Importance sampling method
    Cross-entropy method
    Self-similar queuing system
    RESTART method
    Journal title
    Journal of Cyber Security and Mobility
    Date Published
    2015
    
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    http://riverpublishers.com/journal/journal_articles/RP_Journal_2245-1439_343.pdf; http://hdl.handle.net/20.500.12648/7144
    Abstract
    The paper recommends new methods to estimate effectively the probabilities of buffer overflow in high-speed communication networks. The frequency of buffer overflow in queuing system is very small; therefore the overflow is defined as rare event and can be estimated using rare event simulation with continuous-time Markov chains. First, a two-node queuing system is considered and the buffer overflow at the second node is studied. Two efficient rare event simulation algorithms, based on the Importance sampling and Cross-entropy methods, are developed and applied to accelerate the buffer overflow simulation with Markov chain modeling. Then, the buffer overflow in self-similar queuing system is studied and the simulations with long-range dependent self-similar traffic source models are conducted. A new efficient simulation algorithm, based on the RESTART method with limited relative error technique, is developed and applied to accelerate the buffer overflow simulation with SSM/M/1/B modeling using different parameters of arrival processes and different buffer sizes. Numerical examples and simulation results are provided for all methods to estimate the probabilities of buffer overflow, proposed in this paper.
    DOI
    10.13052/jcsm2245-1439.343
    ae974a485f413a2113503eed53cd6c53
    10.13052/jcsm2245-1439.343
    Scopus Count
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    School of Liberal Arts and Business - Scholarly and Creative Works
    SUNY Oneonta Scholarly and Creative Works

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