Robust congestion pricing under boundedly rational user equilibrium

Transportation Research Part B: Methodological

Volumn 44, Issue 1, 2010, Pages 15-28

  Lou, Yingyan ^a   Yin, Yafeng ^a   Lawphongpanich, Siriphong ^a  

^a University of Florida   (United States)

Author keywords

Boundedly rational user equilibrium; Congestion pricing; Network modeling; Robust optimization

Indexed keywords

COSTS; HEURISTIC ALGORITHMS; OPTIMIZATION; TRAVEL TIME;

BOUNDEDLY RATIONAL USER EQUILIBRIUMS; CONGESTION PRICING; FLOW DISTRIBUTION; MATHEMATICAL PROGRAMS WITH COMPLEMENTARITY CONSTRAINTS; NETWORK MODELING; ROBUST OPTIMIZATION; ROUTE CHOICE BEHAVIOR; STATIC NETWORKS;

TRAFFIC CONGESTION;

ALGORITHM; EQUILIBRIUM; NETWORK ANALYSIS; NUMERICAL MODEL; OPTIMIZATION; PATH ANALYSIS; PRICING POLICY; TRAFFIC CONGESTION; TRAFFIC MANAGEMENT; TRAVEL BEHAVIOR; TRAVEL TIME;

EID: 71549146243     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2009.06.004     Document Type: Article

References (33)

1. Ahuja R., Magnanti T., and Orlin J. Network Flows: Theory, Algorithms, and Applications (1993), The Prentice-Hall Inc., Upper Saddle River, New Jersey
2. Ben-Tal A., and Nemirovski A. Robust optimization - methodology and applications. Mathematical Programming Series B 92 3 (2002) 453-480
3. Brooke A., Kendrick D., Meeraus A., and Raman R. GAMS: A User's Guide (2003), GAMS Development Corporation, Washington, DC
4. Chen H.-C., Friedman J.W., and Thisse J.-F. Boundedly rational Nash equilibrium: a probabilistic choice approach. Games and Economic Behavior 18 1 (1997) 32-54
5. Conlisk J. Why bounded rationality. Journal of Economic Literature 34 2 (1996) 669-700
6. Drud, A.S., 1995. A system for large scale nonlinear optimization. Tutorial for CONOPT Subroutine Library, ARKI Consulting and Development A/S, Bagsvaerd, Denmark.
7. Hearn D.W., and Ramana M.V. Solving congestion toll pricing models. In: Marcotte P., and Nguyen S. (Eds). Equilibrium and Advanced Transportation Modeling (1998), Kluwer Academic Publishers, Nowell, MA 109-124
8. Hu T.Y., and Mahmassani H.S. Day-to-day evolution of network flows under real-time information and reactive signal control. Transportation Research Part C 5 1 (1997) 51-69
9. Jayakrishnan R., Mahmassani H.S., and Hu T.Y. An evaluation tool for advanced traffic information and management systems in urban networks. Transportation Research Part C 2 3 (1994) 129-147
10. Knight F.H. Some fallacies in the interpretation of social cost. Quarterly Journal of Economics 38 4 (1924) 582-606
11. Lawphongpanich S., and Hearn D. An MPEC approach to second best toll pricing. Mathematical Programming, Series B 101 (2004) 33-55
12. Lawphongpanich, S., Yin, Y., submitted for publication. Solving pareto-improving congestion pricing for general road networks, Transportation Research Part C.
13. LeBlanc L.J., Morlok E.K., and Pierskalla W.P. An efficient approach to solving the road network equilibrium traffic assignment problem. Transportation Research 9 5 (1975) 309-318
14. Lindsey R. Do economists reach a conclusion on road pricing? The intellectual history of an idea. Econ Journal Watch 3 2 (2006) 292-379
15. Lo H., Luo X.W., and Siu B. Degradable transport network: travel time budget of travelers with heterogeneous risk aversion. Transportation Research Part B 40 9 (2006) 792-806
16. Lopez M., and Still G. Semi-infinite programming. European Journal of Operations Research 119 2 (2007) 301-313
17. Luo Z.-Q., Pang J.-S., and Ralph D. Mathematical Programs with Equilibrium Constraints (1996), Cambridge University Press, New York, NY
18. Mahmassani H.S. Trip timing. In: Hensher D.A., and Button K.J. (Eds). Handbook of Transport Modeling (2000), Elsevier, New York, NY 93-405
19. Mahmassani H.S., and Chang G.L. On boundedly-rational user equilibrium in transportation systems. Transportation Science 21 2 (1987) 89-99
20. Mahmassani H.S., and Liu Y.-H. Dynamic of commuter decision behavior under advanced traveler information. Transportation Research Part C 7 2-3 (1999) 91-108
21. Mirchandani P., and Soroush H. Generalized traffic equilibrium with probabilistic travel times and perceptions. Transportation Science 21 3 (1987) 133-152
22. Nakayama S., Kitamura R., and Fujii S. Drivers' route choice rules and network behavior: do drivers become rational and homogeneous through learning?. Journal of the Transportation Research Board 1752 (2001) 62-68
23. Patriksson M. The Traffic Assignment Problem: Models and Methods (1994), VSP, Utrecht, Netherlands
24. Pigou A.C. The Economics of Welfare (1920), MacMillan, New York, NY
25. Polak E., and Royset J. On the use of augmented Lagrangians in the solution of generalized semi-infinite min-max problems. Computational Optimization and Applications 31 2 (2005) 173-192
26. Scheel H., and Scholtes S. Mathematical programs with complementarity constraints: stationarity, optimality, and sensitivity. Mathematics of Operations Research 25 1 (2000) 1-22
27. Shao H., Lam W.H.K., Meng Q., and Tam M.L. Demand driven travel time reliability-based traffic assignment problem. Transportation Research Record 1985 (2006) 220-230
28. Sheffi Y. Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods (1985), Prentice-Hall Inc
29. Still G. Generalized semi-infinite programming: theory and methods. European Journal of Operations Research 119 2 (1999) 301-313
30. Szeto W.Y., and Lo H.K. Dynamic traffic assignment: properties and extensions. Transportmetrica 2 1 (2006) 31-52
31. Yang H., and Huang H.-J. Mathematical and Economic Theory of Road Pricing (2005), Elsevier
32. Yin Y., and Ieda H. Assessing performance reliability of road networks under non-recurrent congestion. Transportation Research Record 1771 (2001) 148-155
33. Yin, Y., Lawphongpanich, S., 2007. A robust approach to the continuous network design problem with demand uncertainty. In: Allsop, R.E., Bell, M.G.H., Heydecker, B.G. (Eds.), Transportation and Traffic Theory 2007: Papers Selected for Presentation at ISTTT17, A Peer Reviewed Series Since 1959, Elsevier, pp. 111-126.