activity
20122021
most citedA queueing model with independent arrivals, and its fluid and diffusion limits

24 citations · 50 across the 8 of their papers we have counts for

collaborators

10 papers

math.OC2021

Asymptotically Optimal Idling in the GI/GI/N+GI Queue

Yueyang Zhong, Amy R. Ward, Amber L. Puha

We formulate a control problem for a GI/GI/N+GI queue, whose objective is to trade off the long-run average operational costs (i.e., abandonment costs and holding costs) with serve…

math.PR2021★ 1 cited

Stationary Distribution Convergence of the Offered Waiting Processes in Heavy Traffic under General Patience Time Scaling

Chihoon Lee, Amy R. Ward, Heng-Qing Ye

We study a sequence of single server queues with customer abandonment (GI/GI/1+GI) under heavy traffic. The patience time distributions vary with the sequence, which allows for a w…

math.OC2021★ 10 cited

Matching Impatient and Heterogeneous Demand and Supply

Angelos Aveklouris, Levi DeValve, Maximiliano Stock +1

Service platforms must determine rules for matching heterogeneous demand (customers) and supply (workers) that arrive randomly over time and may be lost if forced to wait too long…

math.PR2017

Conditioned Functional Limits and Applications to Queues

Harsha Honnappa, Rahul Jain, Amy R. Ward

We consider a renewal process that is conditioned on the number of events in a fixed time horizon. We prove that a centered and scaled version of this process converges to a Browni…

math.PR2015

On the Control of Fork-Join Networks

Erhun Özkan, Amy R. Ward

Networks in which the processing of jobs occurs both sequentially and in parallel are prevalent in many application domains, such as computer systems, healthcare, manufacturing, an…

math.PR2015★ 1 cited

Stationary Distribution Convergence of the Offered Waiting Processes for GI/GI/1+GI Queues in Heavy Traffic

Chihoon Lee, Amy R. Ward, Heng-Qing Ye

A result of Ward and Glynn (2005) asserts that the sequence of scaled offered waiting time processes of the queue converges weakly to a reflected Ornstein-Uhlenbeck pr…

math.PR2014★ 12 cited

On Transitory Queueing

Harsha Honnappa, Rahul Jain, Amy R. Ward

We introduce a framework and develop a theory of transitory queueing models. These are models that are not only non-stationary and time-varying but also have other features such as…

math.PR2014

Staffing Call Centers with Uncertain Arrival Rates and Co-sourcing

Yasar Levent Kocaga, Mor Armony, Amy R. Ward

In a call center, staffing decisions must be made before the call arrival rate is known with certainty. Then, once the arrival rate becomes known, the call center may be over-staff…

cs.GT2014★ 2 cited

Routing and Staffing when Servers are Strategic

Ragavendran Gopalakrishnan, Sherwin Doroudi, Amy R. Ward +1

Traditionally, research focusing on the design of routing and staffing policies for service systems has modeled servers as having fixed (possibly heterogeneous) service rates. Howe…

math.PR2012★ 24 cited

A queueing model with independent arrivals, and its fluid and diffusion limits

Harsha Honnappa, Rahul Jain, Amy R. Ward

We introduce the Δ(i)/GI/1 queue, a new queueing model. In this model, customers from a given population independently sample a time to arrive from some given distribution F. Thus,…