8 citations · 9 across the 5 of their papers we have counts for
5 papers
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…
Fluid limits for Queue-based CSMA with polynomial rates, homogenization and reflection
Eyal Castiel
We study in this paper a variation of the acclaimed CSMA random access protocol. We will focus on the case where back-off rates at each node is polynomial in the size of the queue.…
Induced idleness leads to deterministic heavy traffic limits for queue-based random-access algorithms
Eyal Castiel, Sem Borst, Laurent Miclo +2
We examine a queue-based random-access algorithm where activation and deactivation rates are adapted as functions of queue lengths. We establish its heavy traffic behavior on a com…