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

Selected Publications

• S. Lu. Variational conditions under the constant rank constraint qualification. 23 pages, accepted for publication in Mathematics of Operations Research  [pdf]
• S. Lu and Y. (M.) Nie. Stability of user-equilibrium route flow solutions for the traffic assignment problem. 17 pages, accepted for publication in Transporation Research Part B  [pdf]
• S. Lu. Implications of the constant rank constraint qualification. 24 pages. Mathematical Programming Series A, published online at DOI 10.1007/s10107-009-0288-3 [pdf]
• X. Ban, S. Lu, M. Ferris and H. Liu. Risk-averse second-best toll pricing. 22 pages. Proceedings of the 18th International Symposium on Transportation and Traffic Theory [pdf]
• S. Lu and S. M. Robinson. Variational inequalities over perturbed polyhedral convex sets. Mathematics of Operations Research, 2008, Vol. 33, pp. 689-711 [pdf]
• S. Lu and S. M. Robinson. Normal fans of polyhedral convex sets: structures and connections. Set-valued Analysis, 2008, Vol. 16, pp. 281-305 [pdf]
• S. Lu. Sensitivity of static traffic user equilibria with perturbations in arc cost function and travel demand. Transportation Science, 2008, Vol. 42, No. 1, pp. 105-123 [pdf]
• S. M. Robinson and S. Lu. Solution continuity in variational conditions. Journal of Global Optimization, 2008, Vol. 40, pp. 405-415 [pdf]
• S. Lu, H. Lu, H. Tang and J. Lu. Analysis of influencing factors on urban travel speed. Journal of Highway and Transportation Research and Development, 2003, Vol.20, No.1, p.110-113 (in Chinese)
• S. Lu and H. Lu. Capacity method for uncontrolled intersections. Journal of Highway and Transportation Research and Development, 2002, Vol.19, No.2, p. 89-92 (in Chinese)

Preprints

Recent Presentations

• 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)
• 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. 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

Courses

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

Grants

• 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, 2011
• UNC University Research Council Award, Robust design methods for congestion pricing, December 1, 2007 – November 30, 2009

• Ella