Yuan Li

most citedHeavy-tailed queues in the Halfin-Whitt regime

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2018

Large deviations analysis for the $M / H_{2} / n + M$ queue in the Halfin-Whitt regime

David A. Goldberg, Debankur Mukherjee, Yuan Li

We consider the FCFS $M / H_{2} / n + M$ queue in the Halfin-Whitt heavy traffic regime. It is known that the normalized sequence of steady-state queue length distributions is tight and…

math.PR2017★ 2 cited

Heavy-tailed queues in the Halfin-Whitt regime

David A. Goldberg, Yuan Li

We consider the FCFS G/G/n queue in the Halfin-Whitt regime, in the presence of heavy-tailed distributions (i.e. infinite variance). We prove that under minimal assumptions, i.e. o…

math.PR2017

Simple and explicit bounds for multi-server queues with $1/ (1 - ρ)$ scaling

David A. Goldberg, Yuan Li

We consider the FCFS $G I / G I / n$ queue, and prove the first simple and explicit bounds that scale as $\frac{1}{1 - ρ}$ under only the assumption that inter-arrival times have finite se…

Large deviations analysis for the M/H2​/n+M queue in the Halfin-Whitt regime

Heavy-tailed queues in the Halfin-Whitt regime

Simple and explicit bounds for multi-server queues with 1/(1−ρ) scaling

Large deviations analysis for the $M / H_{2} / n + M$ queue in the Halfin-Whitt regime

Simple and explicit bounds for multi-server queues with $1/ (1 - ρ)$ scaling