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

A. Yu. Veretennikov ()
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A. Yu. Veretennikov: University of Leeds

Queueing Systems: Theory and Applications, 2020, vol. 94, issue 3, No 3, 243-255

Abstract: Abstract 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 also established under a slightly different set of assumptions on intensities in comparison with those required for existence.

Keywords: GI/GI/1; Mean-field; Existence; Weak uniqueness; Skorokhod lemma; 60-02; 60K25; 90B22 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s11134-019-09626-x

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