Liu, H., Ma, W., and Wu, X. Traffic Flow Monitoring for Intersections with Signal Control, US Patent No. 8279086. Awarded on October 2, 2012.
Jabari, S. and Liu, H. (2012) A Stochastic Model of Traffic Flow: Gaussian Approximation and Estimation, Accepted by Transp. Res. Part B.
Jabari, S. and Liu, H. (2012) A Stochastic Model of Traffic Flow: Theoretical Foundations, Transp. Res. Part B, 46(1), 156-174.
He, X. and Liu, H. (2012) Modeling the day-to-day traffic evolution process after an unexpected network disruption, Transp. Res. Part B, 46(1), 50-71.
Wu, X. and Liu, H. (2011) A Shockwave Profile Model for Congested Urban Arterials, Transp. Res. Part B, 45(10), 1768-1786.
Guo, X. and Liu, H. (2011) Bounded Rationality and irreversible network changes, Transp. Res. Part B, 45(10), 1606-1618.
He, X. and Liu, H. (2011), Inverse Variational Inequalities with Projection-Based Solution Methods, European Journal of Operations Research, 208(1), 12-18.
Zhu, S., Levinson, D., Liu, H., Harder, K., (2010) The Traffic and Behavioral Effects of the I-35W Mississippi River Bridge Collapse, Transp. Res. Part A, 44, 771-784.
Wu, X., Liu, H., Geroliminis, N. (2010) An Empirical Analysis on the Arterial Fundamental Diagram, Transp. Res. Part B, 45, 255-266.
Danczyk, A. and Liu, H. (2010) A Mixed-Integer Linear Program for Optimizing Sensor Locations along Freeway Corridors, Transp. Res. Part B, 45, 208-217. [pdf]
Wu, X., Liu, H., Gettman, D., (2010) Identification of Oversaturated Intersections Using High-Resolution Traffic Signal Data, Transp. Res. Part C, 18(4), 626-638. [pdf]
He, X., Guo, X., and Liu, H. (2010) A Link-based Day-to-day Traffic Assignment Model, Transp. Res. Part B, 44(4), 597-608. [pdf]
Wu, X., Michalopoulos, P., and Liu, H. (2010) Stochasticity of Freeway Operational Capacity and Chance Constrained Ramp Metering, Transp. Res., Part C, 18(5), 741-756. [pdf]
He, B.S., He, X., and Liu, H. (2010) Solving a Class of Constrained "black-box" Inverse Variational Inequalities, European Journal of Operations Research, 204(3), 391-401. [pdf]
Liu, H., Ma, W., Wu, X., and Hu, H. (2009) Real Time Estimation of Arterial Travel Time under Congested Conditions, Transportmetrica, Accepted. [pdf]
Liu, H. and Danczyk, A. (2009) Optimal Sensor Locations for Freeway Bottleneck Identification, Computer-Aided Civil and Infrastructure Engineering, 24(8), 535-550.
Liu, H., Wu, X., Ma, W., and Hu, H., (2009) Real-Time queue length estimation for congested signalized intersections, Transp. Res., Part C, 17(4), 412-427.
Ban, J. and Liu, H. (2009) A link-node discrete-time dynamic second best toll pricing model with a relaxation solution algorithm, Network and Spatial Economics, Vol. 9, 243-267.
Ban, J., Lu, S., Ferris, M., and Liu, H.(2009) Risk averse second best toll pricing, Transportation and Traffic Theory (ISTTT 18), 197-218.
Liu, H. and Ma, W., (2009) A virtual vehicle probe model for time-dependent travel time estimation on signalized arterials, Transp. Res., Part C, 17(1), 11-26.
He, B.S., He, X.Z., Liu, H., and Wu, T. (2009) Self-adaptive projection method for co-coercive variational inequalities, European Journal of Operational Research, 196 (1), 43-48.
Liu, H., He, X., and He, B.S. (2009) Method of successive weighted averages (MSWA) and self-regulated averaging schemes for solving stochastic user equilibrium problem. Network and Spatial Economics, 9(4), 485-503.
Ban, J., Liu, H., Ferris, M.C. and Ran, B., (2008) A link-node complementarity model and solution algorithm for dynamic user equilibria with exact flow propagations, Transp. Res., Part B, 42(9), 823-842.
Liu, H., Xin, W., Adam, Z., and Ban, J., (2007) A Game Theoretical Approach for Modeling Merging and Yielding Behavior at Freeway On-Ramp Section, Transportation and Traffic Theory (ISTTT 17), 197-211.
Yang, F. and Liu, H., (2007) A general modeling framework for travelers' day-to-day route choice adjustment processes, Transportation and Traffic Theory (ISTTT 17), 813-835.
Liu, H., He, X., and Recker, W., (2007) Estimation of the time-dependency of values of travel time and its reliability from loop detector data, Transp. Res., Part B, 41(4), 448-461.
Liu, H., Ban, J., Ma, W., and Mirchandani, P., (2007) Model Reference Adaptive Control Framework for Real-Time Traffic Management under Emergency Evacuation, ASCE Journal of Urban Planning and Development, 133(1), 43-50.
Ban, J., Liu, H., Ferris, M.C. and Ran, B., (2006) A general MPCC model and its solution algorithm for continuous network design problem, Mathematical and Computer Modeling, 43 (5-6), 493-505.
Liu, H., Recker, W., and Chen, A. (2004) Uncovering the contribution of travel time reliability to dynamic route choice using real-time loop data, Transp. Res., Part A, 38, 435-453.
Chu, L., Liu, H., Recker, W., and Zhang, H. M., (2004) Performance evaluation of adaptive ramp metering algorithms in microscopic traffic simulation model, ASCE Journal of Transportation Engineering, 130 (3), 330-338.
Liu, H., Ban, J., Ran, B., and Mirchandani, P., (2002) Analytical dynamic traffic assignment model with stochastic network and travelers' perceptions, Transp. Res. Rec., 1783, pp.125-133.