149 citations · 178 across the 6 of their papers we have counts for
6 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…
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…
Asymptotically Optimal Control of a Centralized Dynamic Matching Market with General Utilities
Jose H. Blanchet, Martin I. Reiman, Viragh Shah +2
We consider a matching market where buyers and sellers arrive according to independent Poisson processes at the same rate and independently abandon the market if not matched after…
Asymptotically Optimal Inventory Control for Assemble-to-Order Systems
Martin I. Reiman, Haohua Wan, Qiong Wang
We consider Assemble-to-Order (ATO) inventory systems with a general Bill of Materials and general deterministic lead times. Unsatisfied demands are always backlogged. We apply a f…
The heavy traffic limit of an unbalanced generalized processor sharing model
Kavita Ramanan, Martin I. Reiman
This work considers a server that processes classes using the generalized processor sharing discipline with base weight vector and redistribution weight vecto…
Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic
Rami Atar, Avi Mandelbaum, Martin I. Reiman
We consider the problem of scheduling a queueing system in which many statistically identical servers cater to several classes of impatient customers. Service times and impatience…