44 citations · 93 across the 21 of their papers we have counts for
9 papers · 1 filter
A Note on Many-server Fluid Models with Time-varying Arrivals
Zhenghua Long, Jiheng Zhang
We extend the measure-valued fluid model, which tracks residuals of patience and service times, to allow for time-varying arrivals. The fluid model can be characterized by a one-di…
Heavy-traffic approximations for a layered network with limited resources
Angelos Aveklouris, Maria Vlasiou, Jiheng Zhang +1
Motivated by a web-server model, we present a queueing network consisting of two layers. The first layer incorporates the arrival of customers at a network of two single-server nod…
Instantaneous Control of Brownian Motion with a Positive Lead Time
Zhen Xu, Jiheng Zhang, Rachel Q. Zhang
Consider a storage system where the content is driven by a Brownian motion absent control. At any time, one may increase or decrease the content at a cost proportional to the amoun…
Insensitivity of Proportional Fairness in Critically Loaded Bandwidth Sharing Networks
Maria Vlasiou, Jiheng Zhang, Bert Zwart
Proportional fairness is a popular service allocation mechanism to describe and analyze the performance of data networks at flow level. Recently, several authors have shown that th…
Separation of timescales in a two-layered network
Maria Vlasiou, Jiheng Zhang, Bert Zwart
We investigate a computer network consisting of two layers occurring in, for example, application servers. The first layer incorporates the arrival of jobs at a network of multi-se…
Convergence to Equilibrium States for Fluid Models of Many-server Queues with Abandonment
Zhenghua Long, Jiheng Zhang
Fluid models have become an important tool for the study of many-server queues with general service and patience time distributions. The equilibrium state of a fluid model has been…
A Unified Approach to Diffusion Analysis of Queues with General Patience-time Distributions
Junfei Huang, Hanqin Zhang, Jiheng Zhang
We propose a unified approach to establishing diffusion approximations for queues with impatient customers within a general framework of scaling customer patience time. The approac…
Diffusion limits of limited processor sharing queues
Jiheng Zhang, J. G. Dai, Bert Zwart
We consider a processor sharing queue where the number of jobs served at any time is limited to , with the excess jobs waiting in a buffer. We use random counting measures on th…
Fluid Models of Many-server Queues with Abandonment
Jiheng Zhang
We study many-server queues with abandonment in which customers have general service and patience time distributions. The dynamics of the system are modeled using measure- valued p…