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Optimal trajectory to overflow in a queue fed by a large number of sources - MaRDI portal

Optimal trajectory to overflow in a queue fed by a large number of sources (Q1294082)

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scientific article; zbMATH DE number 1310871
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Optimal trajectory to overflow in a queue fed by a large number of sources
scientific article; zbMATH DE number 1310871

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    Optimal trajectory to overflow in a queue fed by a large number of sources (English)
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    10 September 2000
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    The authors analyze the deviation behavior of a queue fed by a large number of traffic streams. In particular, they explicitly give the most likely trajectory (or ``optimal path'') to buffer overflow, by applying large deviations techniques. This is done for a broad class of sources, consisting of Markov fluid sources and periodic sources. Apart from a number of ramifications of this result, the authors present guidelines for the numerical evaluation of the optimal path.
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    queueing theory
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    large deviations asymptotics
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    buffer overflow
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    calculus of variations
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    ATM multiplexers
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    Markov fluid sources
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    periodic sources
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