Shu Lu Assistant Professor Department of Statistics and Operations Research University of North Carolina at Chapel Hill Office: 355 Hanes Hall    Tel: (919) 962-1048    Fax: (919) 962-0391 E-mail: shulu@email.unc.edu    Mail: 355 Hanes Hall, CB #3260, UNC, Chapel Hill, NC 27599-3260

Education

Tsinghua University (Beijing, China)
M.S. Civil Engineering 2002
B.S. Civil Engineering 2000

Research Interests

Mathematical programming and applications, especially variational analysis and variational inequalities.

Here is a list of publications.

Courses

• STOR 112: Decision Models for Business (Fall 2009, 2010)
• STOR 215: Introduction to Decision Sciences (Fall 2007)
  
• STOR 415: Deterministic Models in Operations Research (Spring 2008, 2009, 2010, 2011, 2012)
• STOR 614: Linear Programming (Spring 2009, 2011, 2012)
• STOR 892: Special Topics in Operations Research (Spring 2010)
  

Grants

• National Science Foundation Award DMS-1109099, Stochastic Variational Inequalities: Analysis, Computation, and Applications, July 15, 2011 - June 30, 2014
• UNC Junior Faculty Development Award, January 1, 2010 – December 31, 2010
• National Science Foundation Award DMS-0807893, Variational Conditions: Analysis, Algorithms and Applications, July 1, 2008 - June 30, 2012
• UNC University Research Council Award, Robust design methods for congestion pricing, December 1, 2007 – November 30, 2009

Recent Presentations

• S. Lu. Confidence regions for stochastic variational inequalities. Invited talk. Presented at the 2012 International Symposium on Mathematical Programming, August 2012, Berlin, Germany
  
• S. Lu. Confidence regions for stochastic variational inequalities. Invited talk at the Wisconsin Institute of Discovery, University of Wisconsin-Madison, February 2012
• S. Lu and A. Budhiraja. Confidence regions for stochastic variational inequalities. Invited talk. Presented by S. Lu at the 2011 INFORMS Annual Meeting, November 2011, Charlotte, NC
• S. Lu. Sensitivity and stability of static traffic user equilibrium problems. Invited talk at the Department of Civil Engineering, Tsinghua University. June 2011
• S. Lu. Finite-dimensional variational inequalities: analysis, algorithms and applications. Invited talk at the Department of Electrical and Computer Engineering, North Carolina State University. February 2011
• S. Lu. Constant rank constraint qualification: geometric properties and perturbation analysis. Invited talk. Presented at the 9th US-Mexico Workshop on Optimization and Applications, Jan 2011, Oaxaca, Oaxaca, Mexico
• S. Singh and S. Lu. A polyhedral projection method for solving variational inequalities. Presented by S. Singh at the 2010 INFORMS Annual Meeting, November 2010, Austin, TX
• S. Lu and Y. (M.) Nie. Stability of user-equilibrium route flow solutions for the traffic assignment problem. Presented by Y. (M.) Nie at the 89th Transportation Research Board Annual Meeting, January 2010, Washington D.C.
• S. Lu. Implications of the constant rank constraint qualification. Invited talk. Presented at the 2009 International Symposium on Mathematical Programming, August 2009,Chicago, IL
  Also presented at Stevens Institute of Technology (Oct 19, 2009) and University of Maryland, Baltimore County (Oct 30, 2009)
• X. Ban, S. Lu, M. Ferris and H. Liu. Risk-averse second-best toll pricing. Presented by X. Ban at the 18^th International Symposium on Transportation and Traffic Theory, July 2009, Hongkong, China
• X. Ban and S. Lu. Considering risk taking behaviors in second-best toll pricing. Presented by X. Ban at the 87th Transportation Research Board Annual Meeting, January 2008, Washington D.C.
• S. Lu. Sensitivity of variational inequalities on perturbed polyhedral convex sets. Invited talk. Presented at the 2007 INFORMS Annual Meeting, November 2007, Seattle, WA
• S. Lu. Sensitivity of Variational Inequalities on Perturbed Polyhedral Convex Sets: Analysis and Implementation. Invited talk. Presented at the Department of Statistics and Operations Research, the University of North Carolina at Chapel Hill. February 2007
  
• S. M. Robinson and S. Lu. Solution continuity in variational conditions. Presented at the workshop on Variational Analysis and Partial Differential Equations, July 2006, Erice, Sicily, Italy
• S. Lu and S. M. Robinson. Variational inequalities over perturbed polyhedral convex sets. Poster presentation at the ACNW Optimization Tutorials, June 2006, Chicago, IL
• S. Lu and S. M. Robinson. Sensitivity of static traffic user equilibria. Presented at the 4th International Conference on Complementarity Problems, August 2005, Stanford, CA
• J. Lu, H. Tang, S. Lu and B. Ran. Locating roadside servers for advanced traveler information systems. Presented at the 85th Transportation Research Board Annual Meeting, January 2006, Washington D.C.
• J. Lu, S. Lu and B. Ran. Sensitivity analysis of traffic network flows under dynamic user equilibrium. Presented at the 2005 INFORMS Annual Meeting, November 2005, San Francisco, CA