Almost sure convergence of the waiting time for a G/G/1 queue in heavy traffic

Ye Xia

Statistics & Probability Letters, 2025, vol. 219, issue C

Abstract: Consider a G/G/1 queueing model with traffic intensity ρ=1. Let Wn be the waiting time in the queue for customer n. We provide a class of sufficient conditions for almost sure convergence of Wn/nα to 0, where α>1/2.

Keywords: GI/GI/1 queue; Waiting time; Almost sure convergence; Heavy traffic (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2024.110326

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