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Block-structured supermarket models - MaRDI portal

Block-structured supermarket models (Q503021)

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Block-structured supermarket models
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    Block-structured supermarket models (English)
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    11 January 2017
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    The authors propose supermarket model with non-Poisson inputs and non-exponential service times. They provide the PHase-type (PH) structure for the operate semigroup for the Markovian Arrival Processes inputs and to the PH service times. They also propose a generalized matrix-analytic method both for computing the fixed point and for analyzing the performance measures of their supermarket model. The paper contains also some numerical examples.
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    randomized load balancing
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    supermarket model
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    matrix-analytic method
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    operator semigroup
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    mean-field limit
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    Markovian arrival processes (MAP)
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    phase-type (PH) distribution
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    invariance of environment factors
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    doubly exponential tail
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    RG-factorization
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