140 citations · 310 across the 9 of their papers we have counts for
9 papers
Large-time limit of nonlinearly coupled measure-valued equations that model many-server queues with reneging
Rami Atar, Weining Kang, Haya Kaspi +1
The large-time behavior of a nonlinearly coupled pair of measure-valued transport equations with discontinuous boundary conditions, parameterized by a positive real-valued paramete…
Equivalence of Fluid Models for Queues
Weining Kang, Guodong Pang
Four different fluid model formulations have been recently developed for queues, including a two-parameter fluid model in Whitt (2006) by tracking elapsed service and…
On the submartingale problem for reflected diffusions in domains with piecewise smooth boundaries
Weining Kang, Kavita Ramanan
Two frameworks that have been used to characterize reflected diffusions include stochastic differential equations with reflection and the so-called submartingale problem. We introd…
Characterization of stationary distributions of reflected diffusions
Weining Kang, Kavita Ramanan
Given a domain G, a reflection vector field d(.) on the boundary of G, and drift and dispersion coefficients b(.) and σ(.), let L be the usual second-order elliptic operator associ…
Fluid limits of many-server queues with reneging
Weining Kang, Kavita Ramanan
This work considers a many-server queueing system in which impatient customers with i.i.d., generally distributed service times and i.i.d., generally distributed patience times ent…
A Dirichlet process characterization of a class of reflected diffusions
Weining Kang, Kavita Ramanan
For a class of stochastic differential equations with reflection for which a certain continuity condition holds with , it is shown that any weak solution that…