17 citations · 34 across the 7 of their papers we have counts for
9 papers
The Stationary Behavior of Reflecting Coupled Brownian Motions with Applications to Shortest Remaining Processing Time Queues
Sixian Jin, Marvin Pena, Amber L. Puha
With the objective of characterizing the stationary behavior of the scaling limit for shortest remaining processing time (SRPT) queues with a heavy-tailed processing time distribut…
Heavy Traffic Scaling Limits for Shortest Remaining Processing Time Queues with Light Tailed Processing Time Distributions
Chunxu Ji, Amber L. Puha
We prove a heavy traffic scaling limit for a shortest remaining processing time queue. We are interested in the case where the processing time distribution has a tail that decays r…
Asymptotically Optimal Idling in the GI/GI/N+GI Queue
Yueyang Zhong, Amy R. Ward, Amber L. Puha
We formulate a control problem for a GI/GI/N+GI queue, whose objective is to trade off the long-run average operational costs (i.e., abandonment costs and holding costs) with serve…
The Life and Mathematical Legacy of Thomas M. Liggett
David Aldous, Pietro Caputo, Rick Durrett +3
Thomas Milton Liggett was a world renowned UCLA probabilist, famous for his monograph Interacting Particle Systems. He passed away peacefully on May 12, 2020. This is a perspective…
Heavy Traffic Scaling Limits for shortest remaining processing time queues with heavy tailed processing time distributions
Sayan Banerjee, Amarjit Budhiraja, Amber L. Puha
We study a single server queue operating under the shortest remaining processing time (SRPT) scheduling policy; that is, the server preemptively serves the job with the shortest re…
Diffusion limits for shortest remaining processing time queues under nonstandard spatial scaling
Amber L. Puha
We develop a heavy traffic diffusion limit theorem under nonstandard spatial scaling for the queue length process in a single server queue employing shortest remaining processing t…
Fluid Limits for Overloaded Multiclass FIFO Single-Server Queues with General Abandonment
Otis B. Jennings, Amber L. Puha
We consider an overloaded multiclass nonidling first-in-first-out single-server queue with abandonment. The interarrival times, service times, and deadline times are sequences of i…
Diffusion limits for shortest remaining processing time queues
H. Christian Gromoll, Łukasz Kruk, Amber L. Puha
We present a heavy traffic analysis for a single server queue with renewal arrivals and generally distributed i.i.d. service times, in which the server employs the Shortest Remaini…
Invariant states and rates of Convergence for a critical fluid model of a processor sharing queue
Amber L. Puha, Ruth J. Williams
This paper contains an asymptotic analysis of a fluid model for a heavily loaded processor sharing queue. Specifically, we consider the behavior of solutions of critical fluid mode…