160 citations · 372 across the 13 of their papers we have counts for
13 papers
A Robust Queueing Network Analyzer Based on Indices of Dispersion
Ward Whitt, Wei You
We develop a robust queueing network analyzer algorithm to approximate the steady-state performance of a single-class open queueing network of single-server queues with Markovian r…
A Switching Fluid Limit of a Stochastic Network Under a State-Space-Collapse Inducing Control with Chattering
Ohad Perry, Ward Whitt
Routing mechanisms for stochastic networks are often designed to produce state space collapse (SSC) in a heavy-traffic limit, i.e., to confine the limiting process to a lower-dimen…
Many-server heavy-traffic limit for queues with time-varying parameters
Yunan Liu, Ward Whitt
A many-server heavy-traffic FCLT is proved for the queueing model, having time-varying arrival rate and staffing, a general arrival process satisfying a FC…
Achieving Rapid Recovery in an Overload Control for Large-Scale Service Systems
Ohad Perry, Ward Whitt
We consider an automatic overload control for two large service systems modeled as multi-server queues, such as call centers. We assume that the two systems are designed to operate…
An ODE for an Overloaded X Model Involving a Stochastic Averaging Principle
Ohad Perry, Ward Whitt
We study an ordinary differential equation (ODE) arising as the many-server heavy-traffic fluid limit of a sequence of overloaded Markovian queueing models with two customer classe…
Diffusion Approximation for an Overloaded X Model Via a Stochastic Averaging Principle
Ohad Perry, Ward Whitt
In previous papers we developed a deterministic fluid approximation for an overloaded Markovian queueing system having two customer classes and two service pools, known in the call…
Integer Sequences from Queueing Theory
Joseph Abate, Ward Whitt
Operators on probability distributions can be expressed as operators on the associated moment sequences, and so correspond to operators on integer sequences. Thus, there is an oppo…
A Fluid Limit for an Overloaded X Model Via a Stochastic Averaging Principle
Ohad Perry, Ward Whitt
We prove a many-server heavy-traffic fluid limit for an overloaded Markovian queueing system having two customer classes and two service pools, known in the call-center literature…
Continuity of a queueing integral representation in the topology
Guodong Pang, Ward Whitt
We establish continuity of the integral representation , , mapping a function into a function when the underlying function space is…
Two-Parameter Heavy-Traffic Limits for Infinite-Server Queues
Guodong Pang, Ward Whitt
In order to obtain Markov heavy-traffic approximations for infinite-server queues with general non-exponential service-time distributions and general arrival processes, possibly wi…
Heavy-traffic limits for waiting times in many-server queues with abandonment
Rishi Talreja, Ward Whitt
We establish heavy-traffic stochastic-process limits for waiting times in many-server queues with customer abandonment. If the system is asymptotically critically loaded, as in the…
Martingale proofs of many-server heavy-traffic limits for Markovian queues
Guodong Pang, Rishi Talreja, Ward Whitt
This is an expository review paper illustrating the ``martingale method'' for proving many-server heavy-traffic stochastic-process limits for queueing models, supporting diffusion-…
Proofs of the martingale FCLT
Ward Whitt
This is an expository review paper elaborating on the proof of the martingale functional central limit theorem (FCLT). This paper also reviews tightness and stochastic boundedness,…