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Light traffic equivalence in single-server queues - MaRDI portal

Light traffic equivalence in single-server queues (Q1201314)

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scientific article; zbMATH DE number 97549
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English
Light traffic equivalence in single-server queues
scientific article; zbMATH DE number 97549

    Statements

    Light traffic equivalence in single-server queues (English)
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    17 January 1993
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    The behaviour of the steady-state waiting time of the \(GI/G/1\) queue in light traffic is studied, resulting in rather deep insights. The analysis is based upon a light traffic limit theorem for random walks in a triangular array setting, which is proved at the outset. The special case of phase-type distributions is shown to allow more explicit and computationally tractable results.
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    waiting time
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    steady-state waiting time
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    light traffic limit
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    random walks
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    phase-type distributions
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