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arxiv: 1804.07830 · v3 · pith:Q3SSAFF2new · submitted 2018-04-20 · 🧮 math.PR

On mean-field \(GI/GI/1\) queueing model: existence, uniqueness

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keywords mean-fieldqueueinguniquenessassumptionsconsideredconstructeddifferentdistribution
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A mean-field extension of the queueing system \(GI/GI/1\) is considered. The process is constructed as a Markov solution of a martingale problem. Uniqueness in distribution is established under a bit different sets of assumptions on intensities.

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