Day-to-day rerouting modeling and analysis with absolute and relative bounded rationalities

References

• Avineri, E., and J. Prashker. 2004. “Violations of Expected Utility Theory in Route-Choice Stated Preferences: Certainty Effect and Inflation of Small Probabilities.” Transportation Research Record: Journal of the Transportation Research Board 1894(1): 222–229. doi: 10.3141/1894-23
   Google Scholar
• Beckmann, M. J., C. B. McGuire, and C. B. Winsten. 1956. Studies in the Economics of Transportation. New Haven, CT: Yale University Press.
   Google Scholar
• Carrion, C., and D. Levinson. 2013. “Route Choice Dynamics after a Link Restoration.” TRB 92nd Annual Meeting Compendium of Papers.
   Google Scholar
• Cho, H. J., and M. C. Hwang. 2005. “A Stimulus-Response Model of day-to-day Network Dynamics.” IEEE Transactions on Intelligent Transportation Systems 6(1): 17–25. doi: 10.1109/TITS.2004.838184
   Web of Science ®Google Scholar
• Di, X., and H. X. Liu. 2016. “Boundedly Rational Route Choice Behavior: A Review of Models and Methodologies.” Transportation Research Part B: Methodological 85: 142–179. doi: 10.1016/j.trb.2016.01.002
   Web of Science ®Google Scholar
• Di, X., H. Liu, X. Ban, and J. W. Yu. 2015. “Submission to the DTA 2012 Special Issue: On the Stability of a Boundedly Rational day-to-day Dynamic.” Networks and Spatial Economics 15(3): 537–557. doi: 10.1007/s11067-014-9233-y
   Web of Science ®Google Scholar
• Di, X., H. Liu, J. S. Pang, and X. J. Ban. 2013. “Boundedly Rational User Equilibria (BRUE): Mathematical Formulation and Solution Sets.” Transportation Research Part B: Methodological 57(1): 300–313. doi: 10.1016/j.trb.2013.06.008
   Web of Science ®Google Scholar
• Friesz, T. L., D. Bernstein, N. J. Mehta, R. L. Tobin, and S. Ganjalizadeh. 1994. “Day-to-day Dynamic Network Disequilibria and Idealized Traveler Information Systems.” Operations Research 42(6): 1120–1136. doi: 10.1287/opre.42.6.1120
   Web of Science ®Google Scholar
• Guo, R. Y., and H. J. Huang. 2016. “A Discrete Dynamical System of Formulating Traffic Assignment: Revisiting Smith’s Model.” Transportation Research Part C: Emerging Technologies 71: 122–142. doi: 10.1016/j.trc.2016.07.005
   Web of Science ®Google Scholar
• Guo, X. L., and H. Liu. 2011. “Bounded Rationality and Irreversible Network Change.” Transportation Research Part B: Methodological 45(10): 1606–1618. doi: 10.1016/j.trb.2011.05.026
   Web of Science ®Google Scholar
• Guo, R. Y., H. Yang, and H. J. Huang. 2013. “A Discrete Rational Adjustment Process of Link Flows in Traffic Networks.” Transportation Research Part C: Emerging Technologies 34: 121–137. doi: 10.1016/j.trc.2013.06.002
   Web of Science ®Google Scholar
• Guo, R. Y., H. Yang, H. J. Huang, and Z. Tan. 2015. “Link-based day-to-day Network Traffic Dynamics and Equilibria.” Transportation Research Part B: Methodological 71: 248–260. doi: 10.1016/j.trb.2014.11.005
   Web of Science ®Google Scholar
• Han, K., W. Y. Szeto, and T.L. Friesz. 2015. “Formulation, Existence, and Computation of Boundedly Rational Dynamic User Equilibrium with Fixed or Endogenous User Tolerance.” Transportation Research Part B: Methodological 79: 16–49. doi: 10.1016/j.trb.2015.05.002
   Web of Science ®Google Scholar
• He, X., X. Guo, and H. X. Liu. 2010. “A Link-Based day-to-day Traffic Assignment Model.” Transportation Research Part B: Methodological 44(4):597–608. doi: 10.1016/j.trb.2009.10.001
   Web of Science ®Google Scholar
• He, X., and H. Liu. 2012. “Modeling The day-to-day Traffic Evolution Process After an Unexpected Network Disruption.” Transportation Research Part B: Methodological 46(1):50–71. doi: 10.1016/j.trb.2011.07.012
   Web of Science ®Google Scholar
• Lou, Y., and Y. Yin, and S. Lawphongpanich. 2010. “Robust Congestion Pricing Under Boundedly Rational User Equilibrium.” Transportation Research Part B: Methodological 44(1): 15–28. doi: 10.1016/j.trb.2009.06.004
   Web of Science ®Google Scholar
• Mahmassani, H., and G. Chang. 1987. “On Boundedly Rational User Equilibrium in Transportation Systems.” Transportation Science 21(2): 89–99. doi: 10.1287/trsc.21.2.89
   Web of Science ®Google Scholar
• Morikawa, T., T. Miwa, S. Kurauchi, T. Yamamoto, and K. Kobayashi. 2005. “Driver’s Route Choice Behavior and its Implications on Network Simulation and Traffic Assignment.” In Simulation Approaches in Transportation Analysis: Recent Advances and Challenges, edited by R. Kitamura, and M. Kuwahara, 341–369. Berlin: Springer.
   Google Scholar
• Mounce, R., and M. Carey. 2011. “Route Swapping in Dynamic Traffic Networks.” Transportation Research Part B: Methodological 45(1): 102–111. doi: 10.1016/j.trb.2010.05.005
   Web of Science ®Google Scholar
• Nakayama, S., R. Kitamura, and S. Fujii. 2001. “Drivers’ Route Choice Rules and Network Behavior: do Drivers Become Rational and Homogeneous Through Learning?” Transportation Research Record: Journal of the Transportation Research Board 1752(1): 62–68. doi: 10.3141/1752-09
   Google Scholar
• Nash, J. 1951. “Non-cooperative Games.” The Annals of Mathematics 54(2): 286–295. doi: 10.2307/1969529
   Web of Science ®Google Scholar
• Patriksson, M. 1994. The Traffic Assignment Problem: Models and Methods. Utrecht: VSP.
   Google Scholar
• Ran, B., and D. Boyce. 1994. Dynamic Urban Transportation Network Models: Theory and Implications for Intelligent Vehicle-Highway Systems. Berlin: Springer.
   Google Scholar
• Sheffi, Y. 1985. Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods. Englewood Cliffs, NJ: Prentice-Hall, Inc.
   Google Scholar
• Simon, H. A. 1957. Models of man: Social and Rational. New York: John Wiley and Sons, Inc.
   Google Scholar
• Simon, H. A. 1982. Models of Bounded Rationality: Empirically Grounded Economic Reason. Cambridge: MIT Press.
   Google Scholar
• Smith, M. J. 1984. “The Stability of a Dynamic Model of Traffic Assignment-an Application of a Method of Lyapunov.” Transportation Science 18(3): 245–252. doi: 10.1287/trsc.18.3.245
   Web of Science ®Google Scholar
• Szeto, W. Y., and H. K. Lo. 2006. “Dynamic Traffic Assignment: Properties and Extensions.” Transportmetrica 2(1): 31–52. doi: 10.1080/18128600608685654
   Web of Science ®Google Scholar
• Wardrop, J. G. 1952. “Some Theoretical Aspects of Road Traffic Research.” Proceedings of the Institution of Civil Engineers 1: 325–362. doi: 10.1680/ipeds.1952.11259
   Google Scholar
• Yang, F., and D. Zhang. 2009. “Day-to-day Stationary Link Flow Pattern.” Transportation Research Part B: Methodological 43(1): 119–126. doi: 10.1016/j.trb.2008.05.005
   Web of Science ®Google Scholar
• Yanmaz-Tuzel, O., and K. Ozbay. 2009. “Modeling Learning Impacts on day-to-day Travel Choice.” In Transportation and Traffic Theory 2009: Golden Jubilee, 387–401. New York: Springer.
   Google Scholar
• Ye, H., and H. Yang. 2017. “Rational Behavior Adjustment Process with Boundedly Rational User Equilibrium.” Transportation Science 51(3): 968–980. doi: 10.1287/trsc.2016.0715
   Web of Science ®Google Scholar
• Zhang, W. Y., W. Guan, J. H. Ma, and J. F. Tian. 2015. “A Nonlinear Pairwise Swapping Dynamics to Model the Selfish Rerouting Evolutionary Game.” Networks and Spatial Economics 15(4): 1075–1092. doi: 10.1007/s11067-014-9281-3
   Web of Science ®Google Scholar
• Zhao, C. L., and H. J. Huang. 2016. “Experiment of Boundedly Rational Route Choice Behavior and the Model Under Satisficing Rule.” Transportation Research Part C: Emerging Technologies 68: 22–37. doi: 10.1016/j.trc.2016.03.006
   Web of Science ®Google Scholar
• Zhu, S. 2011. “The Roads Taken: Theory and Evidence on Route Choice in the Wake of the I-35w Mississippi River Bridge Collapse and Reconstruction.” PhD diss., University of Minnesota.
   Google Scholar
• Zhu, S., and D. M. Levinson. 2012. “Disruptions to Transportation Networks: A Review.” In: Network Reliability in Practice, 5–20. New York: Springer.
   Google Scholar