149 citations · 402 across the 36 of their papers we have counts for
45 papers
Diffusion limits in the quarter plane and non-semimartingale reflected Brownian motion
Rami Atar, Amarjit Budhiraja
We consider a continuous-time random walk in the quarter plane for which the transition intensities are constant on each of the four faces , $F_1=\{0\}\times(0,\infty…
Asymptotic optimality of switched control policies in a simple parallel server system under an extended heavy traffic condition
Rami Atar, Eyal Castiel, Marty Reiman
This paper studies a 2-class, 2-server parallel server system under the recently introduced extended heavy traffic condition, which states that the underlying 'static allocation' l…
Scheduling in the high uncertainty heavy traffic regime
Rami Atar, Eyal Castiel, Yonatan Shadmi
We propose a model uncertainty approach to heavy traffic asymptotics that allows for a high level of uncertainty. That is, the uncertainty classes of underlying distributions accom…
Parallel server systems under an extended heavy traffic condition: A lower bound
Rami Atar, Eyal Castiel, Martin I. Reiman
The standard setting for studying parallel server systems (PSS) at the diffusion scale is based on the heavy traffic condition (HTC), which assumes that the underlying static alloc…
Large-time limit of nonlinearly coupled measure-valued equations that model many-server queues with reneging
Rami Atar, Weining Kang, Haya Kaspi +1
The large-time behavior of a nonlinearly coupled pair of measure-valued transport equations with discontinuous boundary conditions, parameterized by a positive real-valued paramete…
On the Persistent-Idle Load Distribution Policy Under Batch Arrivals and Random Service Capacity
Rami Atar, Isaac Keslassy, Gal Mendelson +2
The Persistent-Idle (PI) load distribution policy was recently introduced as an appealing alternative to current low-communication load balancing techniques. In PI, servers only up…