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Research Interests
Operations Research with emphasis on large scale and computationally demanding dynamic programming problems; optimal path finding in
time-dependent networks; optimal path finding in a time and space evolving anisotropic medium; and optimal routing of nonholonomic systems.
Applications include vessel, autonomous vehicles and robot routing.
Also interested in the intersection of transportation and logistics with energy conservation.
Research Statement
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Research Experience
Graduate Research Assistant to Dr. Robert L. Smith
- January 2005 to present
University of Michigan
Optimum Vessel Performance in Evolving Nonlinear Wave Fields,
Office of Naval Research - MURI grant
- Analyzed minimum travel time problems
for anisotropic speed functions, found analytical solution for time homogeneous
case.
- Studied dynamic programming application to time-dependent networks and effective
techniques to improve its computational efficiency.
- Integrated system dynamics and constraints for optimal path finding problems.
- Developed efficient dynamic programming model to solve large scale and
computationally demanding path finding problems.
Undergraduate Researcher to Dr.
Donald W. Hearn - Summer 2004
University of Florida
Circle Covering Points Problem
- Analyzed various algorithms (Welzl,
Elzinga-Hearn, etc.) to solve "Circle covering points" problem.
- Used MatLab and FORTRAN to analyze and compare computational complexity of the
algorithms.
Summa Cum Laude Thesis -
July 2003 to July 2004
University of Florida
"Dynamic Pricing in Revenue Management"
Advisor: Dr. Donald W. Hearn