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Article Dans Une Revue Stochastic Models Année : 2022

Singular perturbation for a two-class Processor-Sharing queue with impatience

Résumé

A two-class Processor-Sharing queue with one impatient class is studied. Local exponential decay rates for its stationary distribution are established in the heavy traffic regime where the arrival rate of impatient customers grows proportionally to a large factor A. This regime is characterized by two time-scales, so that no general Large Deviations result is applicable.

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Dates et versions

hal-03977416 , version 1 (07-02-2023)

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Alain Simonian, Florian Simatos, Ridha Nasri. Singular perturbation for a two-class Processor-Sharing queue with impatience. Stochastic Models, 2022, pp.0. ⟨10.1080/15326349.2022.2133142⟩. ⟨hal-03977416⟩
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