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Shu Lu
Assistant Professor
355 Hanes Hall
work(919) 962-1048 (phone)
Optimization and Equilibria


Education

B.S. (2000) Tsinghua University (Beijing, China)
M.S. (2002) Tsinghua University (Beijing, China)
M.S, M.A. (2006) University of Wisconsin-Madison (Madison, WI)
Ph.D. (2007) University of Wisconsin-Madison (Madison, WI)

Professional Background:

Assistant Professor, Department of Statistics and Operations Research, University of North Carolina at Chapel Hill, 07/2007

Selected Publication:

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


S. Lu and S. M. Robinson. Variational inequalities over perturbed polyhedral convex sets. Mathematics of Operations Research, 2008, Vol. 33, pp. 689-711

S. Lu and S. M. Robinson. Normal fans of polyhedral convex sets: structures and connections. Set-valued Analysis, 2008, Vol. 16, pp. 281-305

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

S. M. Robinson and S. Lu. Solution continuity in variational conditions. Journal of Global Optimization, 2008, Vol. 40, pp. 405-415

Research Interests:

Mathematical programming, especially convex analysis and variational analysis; applications in transportation, etc.

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