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Ke Han   CV

Ph.D. candidate in Mathematics
Pennsylvania State University, University Park, PA 16802


Ke Han is currently a graduate teaching assistant in the Department of Mathematics, Pennsylvania State University.
He is also a graduate research assistant in the Department of Industrial and Manufacturing Engineering, Pennsylvania State University.

Education

  • Ph.D. Mathematics (2008-2013, expected)
    Pennsylvania State University.
    Thesis advisors: Alberto Bressan and Terry L. Friesz
  • M.A. Mathematics (2012)
    Pennsylvania State University.
  • B.S. Mathematics (2004-2008)
    University of Science and Technology of China.

Contact

Ke Han
402 McAllister Building,
Pennsylvania State University,
University Park, PA, 16802, USA.

Phone (Office): (814) 863 9036
Email: kxh323@psu.edu
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Research

Summary

Ke Han's research focuses on developing models and methodologies that deliver insights into the management of dynamic, complex and interdependent engineering systems (such as transportation/logistics and production systems). His research emphasizes the advancement and application of mathematical and computational tools that fall within the disciplines of optimization, dynamical systems, scientific computing, network science and game theory. The specific tools stressed are optimal control, calculus of variations, (differential) variational inequalities, mixed integer programs, mathematical program with equilibrium constraints and ordinary/partial differential equations. The current domains of application are transportation systems and supply chains.

External funding

NSF/EFRI-1024707, "A Theory of Complex Transportation Network Design"
NSF/CMMI-0900040, "Stochastic Dynamic Game-Theoretic Models of Urban Freight Systems"
NSF/CMMI-0824640, "Congestion Option: A Market Solution to Congestion Externalities"
MAUTC/PSU-2011-06, "Computational and Data Enabled Analysis for Sustainable Transportation Systems"

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Traffic flow modeling, simulation and optimization
  • Macroscopic traffic modeling; hydrodynamic flow models on networks
  • Thoretic and numerical ordinary/partial differential equations
  • Traffic state estimation and prediction; real-time traffic operation
  • Data assimilation; inverse modeling
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Dynamic traffic assignment, network design
  • Formulation, analysis and computation of dynamic user equilibrium
  • Congestion pricing; mathematical program with equilibrium constraints
  • Sustainable congestion management; infrastructure management
  • Dynamic system optimal assignment. Mixed-integer programming
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Freight system, logistics, and supply chains
  • Continuous supply chain networks
  • Freight planning
  • Kinetic theory; statistical mechanics
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Publications

Full CV pdf-file
Books
    1. Dynamic Network User Equilibrium. Springer, forthcoming (with Terry L. Friesz)
Refereed journal publications (published, in press, accepted)
    1. Han, K., Friesz, T.L., Yao, T., 2013. Existence of simultaneous route and departure choice dynamic user equilibrium. Transportation Research Part B, 53, 17-30. Link
    2. Han, K., Friesz, T.L., Yao, T., 2013. A partial differential equation formulation of Vickrey's bottleneck model, part I: Methodology and theoretical analysis. Transportation Research Part B, 49, 55-74. Link
    3. Han, K., Friesz, T.L., Yao, T., 2013. A partial differential equation formulation of Vickrey's bottleneck model, part II: Numerical analysis and computation. Transportation Research Part B, 49, 75-93. Link
    4. Friesz, T.L., Han, K., Neto, P.A., Meimand, A., Yao, T., 2013. Dynamic user equilibrium based on a hydrodynamic model. Transportation Research Part B, 47 (1), 102-126. Link
    5. Bressan, A., Han, K., Rampazzo, F., 2013. On the control of non holonomic systems by active constraints. Discrete and Continuous Dynamical Systems - Series A, 33 (8), 3329-3353. Link
    6. Bressan, A., Han, K., 2013. Existence of optima and equilibria for traffic flow on networks. Networks and Heterogeneous Media, forthcoming.
    7. Han, K., Hu, H., Ko, E., Ozer, A., Simon, C., Tan, C., 2012. A variational approach to modeling aircraft hoses and flexible conduits. Mathematics-in-Industry Case Studies, 4, 1-13. Link
    8. Bressan, A., Han, K., 2012. Nash equilibria for a model of traffic flow with several groups of drivers. ESAIM: Control, Optimization and Calculus of Variations, 18 (4), 969-986. Link
    9. Bressan, A., Han, K., 2011. Optima and equilibria for a model of traffic flow. SIAM Journal on Mathematical Analysis, 43 (5), 2384-2417. Link
Papers in review, preprints
    1. Han, K., Friesz, T.L., Yao, T., 2013. An infinite-dimensional variational inequality formulation and existence result for dynamic user equilibrium with elastic demands. arXiv:1305.1276. Link
    2. Han, K., Friesz, T.L., Yao, T., 2013. Dynamic user equilibrium with elastic demand and bounded rationality: Formulation, qualitative analysis and computation. arXiv:1304.5286. Link
    3. Piccoli, B., Han, K., Friesz, T.L., Yao, T., 2012. Second order models and traffic data from mobile phones. Paper accepted for presentation at the Eighth Triennial Symposium on Transportation Analysis (TRISTAN VIII). arXiv:1211.0319. Link
    4. Friesz, T.L., Han, K., Yao, T., 2012. Network user equilibrium with elastic demand: Formulation, qualitative analysis and computation. Paper accepted for presentation at the Eighth Triennial Symposium on Transportation Analysis (TRISTAN VIII). arXiv:1211.4614. Link
    5. Han, K., Friesz, T.L., Liu, H., Yao, T., 2012. A robust optimization approach for dynamic traffic signal control with emission constraints. Paper accepted for presentation at the Eighth Triennial Symposium on Transportation Analysis (TRISTAN VIII). arXiv:1211.4865. Link
    6. Han, K., Piccoli,B., Friesz, T.L., Yao, T., 2012. A continuous-time link-based kinematic wave model for dynamic traffic networks. arXiv:1208.5141v1. Link
    7. Han, K., Friesz,T.L., Liu, H., Yao, T., 2012. Dynamic congestion and tolls with mobile source emission. Proceedins of the 20th International Symposium on Transportation and Traffic Theory, accepted. arXiv:1208.4341v1. Link
    8. Han, K., Friesz, T.L., Yao, T., 2012. Existence of simultaneous route and departure choice dynamic user equilibrium. Transportation Research Part B, accepted. arXiv:1211.0898. Link
    9. Han, K., Friesz, T.L., Yao, T., 2012. A variational approach for continuous supply chain networks. Submitted to SIAM Journal on Control and Optimization. arXiv:1211.4611. Link
    10. Han, K., Yao, T., Friesz, T.L., 2012. Lagrangian-based hydrodynamic model: Freeway traffic estimation. Submitted to Transportation Research Part B. arXiv:1211.4619. Link
    11. Han, K., Friesz, T.L., Yao, T., 2012. Continuity of the effective delay operator for networks based on the link delay model. arXiv:1211.4621. Link
    12. Friesz, T.L., Han, K., Yao, T., 2012. Existence and properties of the state operator in dynamic user equilibrium. arXiv:1211.4623. Link
    13. Han, K., Friesz, T.L., Yao, T., 2012. A link-based mixed integer LP approach for adaptive traffic signal control. arXiv:1211.4625. Link
Papers in progress
    1. A survey in comparison of dynamic traffic assignment models. Invited survey paper for Transportation Research Part B. Working paper (with Friesz, T.L., Yao, T.).
    2. A survey of sustainability in transportation. Invited survey paper for Transportation Research Part B. Working paper (with Friesz, T.L., Szeto, W.Y., Ukkusuri, S., Yao, T.).
    3. Continuity of the effective delay operator for networks based on the Lighthill-Whitham-Richards model. Working paper (with Piccoli, B., Friesz, T.L., Yao, T.).
Refereed conference proceedings
    1. Han, K., Friesz, T.L., Liu, H., Yao, T., 2012. Dynamic congestion and tolls with mobile source emission. Proceedings of the 20th International Symposium on Transportation and Traffic Theory (accepted). The Netherlands, 17-19 July 2013.
    2. Han, K., Friesz, T.L., Yao, T., 2012. A link-based mixed integer LP approach for adaptive traffic signal control. Proceedings of the Transportation Research Board 92nd Annual Meeting. D.C., 22-26 January 2013.
    3. Han, K., Friesz, T.L., Yao, T., 2012. Lagrangian-based hydrodynamic model: Freeway traffic estimation. Proceedings of the Transportation Research Board 92nd Annual Meeting. D.C., 22-26 January 2013.
    4. Han, K., Friesz, T.L., Yao, T., 2012. Existence and properties of state operators in DUE models. Proceedings of the 4th International Symposium on Dynamic Traffic Assignment. Martha's Vineyard, MA, 4-6 June 2012.
    5. Friesz, T.L., Han, K., Meimand, A., Neto, P.A., Yao, T., 2012. Dynamic user equilibrium based on the hydrodynamic model. Proceedings of the 4th International Symposium on Dynamic Traffic Assignment. Martha's Vineyard, MA, 4-6 June 2012.
    6. Han, K., Yao, T., Friesz, T.L., 2012. Lagrangian-based hydrodynamic model: freeway traffic estimation. Proceedings of the 4th International Symposium on Dynamic Traffic Assignment. Martha's Vineyard, MA, 4-6 June 2012.
    7. Han, K., Friesz, T.L., Yao, T., 2012. Explicit solution to Vickrey's model in continuous-time with application to DTA. Proceedings of the 4th International Symposium on Dynamic Traffic Assignment. Martha's Vineyard, MA, 4-6 June 2012.
    8. Friesz, T.L., Han, K., Meimand, A., Neto, P.A., Yao, T., 2012. Dynamic user equilibrium based on a hydrodynamic model. Proceedings of the Transportation Research Board 91st Annual Meeting. D.C., 22-26 January 2012.
Presentations
    1. "Stability of traffic network models based on conservation laws".
      First International Conference on Dynamics of Differential Equations. Georgia Tech, Atlanta, GA, 16-20 March, 2013.
    2. "A theory of complex transportation network design".
      NSF Building Engineered Complex System (BECS) Workshop. NSF Headquarters, Arlington, VA, 24-25 January, 2013.
    3. "Vehicular network design and management: A dynamic Stackelberg game approach".
      NSF Building Engineered Complex System (BECS) Workshop. NSF Headquarters, Arlington, VA, 24-25 January, 2013.
    4. "A robust optimization approach to signal control problem with emission constraints".
      Transporation Research Board 92nd Annual Meeting. D.C., 13-17 January, 2013.
    5. "Highway traffic estimation in Lagrangian coordinates".
      Transporation Research Board 92nd Annual Meeting. D.C., 13-17 January, 2013.
    6. "Selected topics in transportation network design".
      Penn State SIAM Student Chapter Seminar. Department of Mathematics, Penn State University, November, 2012.
    7. "A congestion pricing problem with embedded mobile source emission models".
      INFORMS 2012 Annual Meeting. Phoenix, AZ, 14-17 October, 2012.
    8. "Generalized Vickrey model and application to dynamic traffic assignment".
      INFORMS 2012 Annual Meeting. Phoenix, AZ, 14-17 October, 2012.
    9. "Lagrangian-based hydrodynamic model: Highway traffic estimation".
      INFORMS 2012 Annual Meeting. Phoenix, AZ, 14-17 October, 2012.
    10. "Existence and computation of dynamic user equilibrium".
      AMS Sectional Meeting. Rochester, NY, 22-23 September, 2012.
    11. "Existence and properties of state operators in Dynamic User Equilibrium".
      4th International Symposium on Dynamic Traffic Assignment. Martha's Vineyard, MA, 4-6 June, 2012.
    12. "Dynamic user equilibrium based on a hydrodynamic model".
      4th International Symposium on Dynamic Traffic Assignment. Martha's Vineyard, MA, 4-6 June, 2012.
    13. "Explicit solution to Vickrey model in continuous-time with application to DTA".
      4th International Symposium on Dynamic Traffic Assignment. Martha's Vineyard, MA, 4-6 June, 2012.
    14. "Lagrangian-based hydrodynamic model: Freeway traffic estimation".
      4th International Symposium on Dynamic Traffic Assignment. Martha's Vineyard, MA, 4-6 June, 2012.
    15. "Dynamic user equilibrium based on a hydrodynamic model".
      Transporation Research Board 91st Annual Meeting. D.C., 22-26 January, 2012.
    16. "A hydrodynamic model for Dynamic User Equilibrium".
      Poster presentation, IPAM Mathematics of Traffic Flow Modeling, Estimation and Control. UCLA, CA, 7-9 December, 2011.
    17. "Highway traffic estimation with Lagrangian coordinates".
      Poster presentation, IPAM Mathematics of Traffic Flow Modeling, Estimation and Control. UCLA, CA, 7-9 December, 2011.
    18. "Fixed point methods for computing within-day dynamic user equilibrium".
      IEEE Intelligent Transporation System Conference. D.C., 5-7 October, 2011.
    19. "Computing dynamic user equilibrium in continuous time".
      INFORMS 2011 Annual Meeting. Charlotte, NC, 13-16 November, 2011.
    20. "Dynamic traffic assignment and user equilibrium in continuous time".
      IE Colloquium. Department of Industrial and Manufacturing Engineering, Penn State University, November, 2011.
    21. "Dynamic traffic assignment and user equilibrium in continuous time".
      Center for Computational Mathematics and Applications (CCMA) Seminar. Department of Mathematics, Penn State University, October, 2011.
    22. "Optima and equilibria for a model of traffic flow".
      Poster presentation, Penn State Graduate Exhibition. April, 2011.
    23. "Optimization in Matlab, part I".
      Penn State INFORMS Student Chapter Seminar. Department of Industrial and Manufacturing Engineering, Penn State University, October, 2011.
    24. "Optimization in Matlab, part II".
      Penn State INFORMS Student Chapter Seminar. Department of Industrial and Manufacturing Engineering, Penn State University, October, 2011.
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