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) 455-2433 Fax: (410) 455-1066 E-mail: 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 non-semimartingale 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 many-server queueing network with impatient customers and feedback, (with G. Pang).
• Well-posedness and Sensitivity Analysis of a Fluid Model for Multiclass Many-Server Queues with Abandonment Under Global FCFS Discipline, Submitted.

Publications:

• Long-Time Limit of Nonlinearly Coupled Measure-Valued Equations that Model Many-Server 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, 404-468, 2017.
• Fluid limits of many-server retrial queues with nonpersistent customers, Queueing Systems, Queueing Systems, 79, 2, 183-219, 2015.
• Existence and Uniqueness of a Fluid Model for Many-Server Queues with Abandonment, Operations Research Letters, 42, 6-7, 478-483, 2014.
• Characterization of stationary distributions of reflected diffusions.
  (with K. Ramanan), Annals of Applied Probability 24, 4, 1329-1374, 2014.
• Fluid approximations of many-server 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 input-queued switch operating under a maximum weight matching algorithm.
  (with R. J. Williams), Stochastic Systems, 2, 277-321, 2012.
• Asymptotic Approximations for Stationary Distributions of Many-Server Queues. (PDF)
  (with K. Ramanan), Annals of Applied Probability, 22, 477-521, 2012.
• A Dirichlet process characterization of a class of reflected diffusions. (PDF)
  (with K. Ramanan), Annals of Probability, 38, 1062-1105, 2010.
• Fluid limits of many-server queues with reneging. (PDF)
  (with K. Ramanan), Annals of Applied Probability, 20, 2204-2260, 2010.
• State space collapse and diffusion approximation for a network operating under a fair bandwidth-sharing policy. (PDF)
  (with F. P. Kelly, N. H. Lee and R. J. Williams), Annals of Applied Probability 19, 1719-1780, 2009.
• The Skorokhod problem in a time-dependent interval. (PDF)
  (with K. Burdzy and K. Ramanan), Stochastic Processes and Their Applications, 119, 428-452, 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, 741-779, 2007.
• Product form stationary distributions for diffusion approximations to a flow-level 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, 36-38, 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, 3938-3943.

 

Last updated in Feburary 2024