Josh E. Reed

activity

20092022

most citedThe

G / G I / N

queue in the Halfin--Whitt regime

113 citations · 178 across the 8 of their papers we have counts for

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Showing 2009 · math.PRShow all

2 papers · 2 filters

math.PR2009★ 113 cited

The $G / G I / N$ queue in the Halfin--Whitt regime

Josh Reed

In this paper, we study the $G / GI / N$ queue in the Halfin--Whitt regime. Our first result is to obtain a deterministic fluid limit for the properly centered and scaled numb…

math.PR2009★ 10 cited

Distribution-valued heavy-traffic limits for the $G / GI /\infty$ queue

Josh Reed, Rishi Talreja

We study the $G / GI /\infty$ queue in heavy-traffic using tempered distribution-valued processes which track the age and residual service time of each customer in the system…

The G/GI/N queue in the Halfin--Whitt regime

Distribution-valued heavy-traffic limits for the G/GI/∞ queue

The $G / G I / N$ queue in the Halfin--Whitt regime

Distribution-valued heavy-traffic limits for the $G / GI /\infty$ queue