Weining Kang
Associate
Professor of Mathematics
Department of Mathematics and Statistics
University of Maryland, Baltimore County
1000 Hilltop Circle
Baltimore, MD 21250
Office: MP 403
Voice: (410) 4552433
Fax: (410) 4551066
Email:
wkang AT umbc
DOT edu


Education
Ph.D.
in Mathematics, Department of Mathematics, University of California, San Diego,
2005
Research
Research Interests:
Probability
Theory, Stochastic Processes, Stochastic Networks, Stochastic Modeling
Preprints:
 An equivalence property for nonsemimartingale
reflected diffusions, (with K. Ramanan).
 An Algorithm to Compute Fluid Models of Gt/GI/Nt + GI Queues, (with G. Pang).
 Impatience Differentiation of G/GI/N+G Queues with
Delayed Feedback, (with G. Pang).
 Fluid limits of manyserver queueing network with
impatient customers and feedback, (with G. Pang).
 Wellposedness and
Sensitivity Analysis of a Fluid Model for Multiclass ManyServer Queues
with Abandonment Under Global FCFS Discipline, Submitted.
Publications:
 LongTime Limit of Nonlinearly Coupled MeasureValued
Equations that Model ManyServer Queues with Reneging. (with R. Atar, H. Kaspi and K.
Ramanan), SIAM Journal on Mathematical Analysis, 55, 6, 2023.
 Equivalence of Fluid Models for Gt/GI/N + GI Queues. (with G.
Pang), The IMA Volumes in Mathematics and its Applications, 2019.
 On the Submartingale Problem
for Reflected Diffusions in domains with Piecewise Smooth boundaries.
(with K. Ramanan), Annals of Probability, 45, 1, 404468, 2017.
 Fluid limits of manyserver retrial queues with
nonpersistent customers, Queueing Systems, Queueing Systems, 79, 2,
183219, 2015.
 Existence and Uniqueness of a Fluid Model for
ManyServer Queues with Abandonment, Operations Research Letters, 42, 67,
478483, 2014.
 Characterization of stationary distributions of
reflected diffusions.
(with K. Ramanan), Annals of Applied Probability 24, 4, 13291374, 2014.
 Fluid approximations of manyserver queues with delayed
feedback and heterogeneous service and patience times.
(with H. Lu and G. Pang), the Workshop on Mathematical performance
Modeling and Analysis (MAMA) in conjunction with ACM Sigmetrics,
2013.
 Diffusion approximation for an inputqueued switch
operating under a maximum weight matching algorithm.
(with R. J. Williams), Stochastic Systems, 2, 277321, 2012.
 Asymptotic Approximations for Stationary Distributions
of ManyServer Queues. (PDF)
(with K. Ramanan), Annals of Applied Probability, 22, 477521, 2012.
 A Dirichlet process characterization of a class of
reflected diffusions. (PDF)
(with K. Ramanan), Annals of Probability, 38, 10621105, 2010.
 Fluid limits of manyserver queues with reneging. (PDF)
(with K. Ramanan), Annals of Applied Probability, 20, 22042260, 2010.
 State space collapse and diffusion approximation for a
network operating under a fair bandwidthsharing policy. (PDF)
(with F. P. Kelly, N. H. Lee and R. J. Williams), Annals of Applied
Probability 19, 17191780, 2009.
 The Skorokhod problem in a
timedependent interval. (PDF)
(with K. Burdzy and K. Ramanan), Stochastic
Processes and Their Applications, 119, 428452, 2008.
 An invariance principle for semimartingale
reflecting Brownian motions in domains with piecewise smooth boundaries. (PDF)
(with R. J. Williams), Annals of Applied Probability, 17, 741779, 2007.
 Product form stationary distributions for diffusion
approximations to a flowlevel model operating under a proportional fair
sharing policy.
(with F. P. Kelly, N. H. Lee and R. J. Williams),
ACM SIGMETRICS Performance Evaluation Review, Volume 35, Issue 2, 3638,
2007.
 On fluid and Brownian approximations for an Internet
congestion control model.
(with F. P. Kelly, N. H. Lee and R. J. Williams),
Proceedings of the 43rd IEEE Conference on Decision and Control. December
2004, 39383943.
Last updated in Feburary 2024