160 citations · 206 across the 3 of their papers we have counts for
3 papers
math.PR2009★ 10 cited
Distribution-valued heavy-traffic limits for the queue
Josh Reed, Rishi Talreja
We study the queue in heavy-traffic using tempered distribution-valued processes which track the age and residual service time of each customer in the system…
math.PR2008★ 36 cited
Heavy-traffic limits for waiting times in many-server queues with abandonment
Rishi Talreja, Ward Whitt
We establish heavy-traffic stochastic-process limits for waiting times in many-server queues with customer abandonment. If the system is asymptotically critically loaded, as in the…
math.PR2007★ 160 cited
Martingale proofs of many-server heavy-traffic limits for Markovian queues
Guodong Pang, Rishi Talreja, Ward Whitt
This is an expository review paper illustrating the ``martingale method'' for proving many-server heavy-traffic stochastic-process limits for queueing models, supporting diffusion-…