A bi-criterion dynamic user equilibrium traffic assignment model and solution algorithm for evaluating dynamic road pricing strategies

Transportation Research Part C: Emerging Technologies

Volumn 16, Issue 4, 2008, Pages 371-389

  Lu, Chung Cheng ^a   Mahmassani, Hani S ^b   Zhou, Xuesong ^c  

^a NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

^b Northwestern University   (United States)

^c Department of Electrical and Computer Engineering   (United States)

Author keywords

Bi criterion dynamic user equilibrium; Dynamic road pricing; Dynamic traffic assignment; Heterogeneous driver preferences; Network models; Value of time

Indexed keywords

COMPUTER SIMULATION; COSTS; HIGHWAY TRAFFIC CONTROL; RANDOM VARIABLES; STRATEGIC PLANNING; TRANSPORTATION CHARGES;

BI-CRITERION DYNAMIC USER EQUILIBRIUM; DYNAMIC ROAD PRICING; DYNAMIC TRAFFIC ASSIGNMENT;

ROADS AND STREETS;

ALGORITHM; MODELING; ROAD PRICING; STOCHASTICITY; TRAVEL TIME;

EID: 44449121897     PISSN: 0968090X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trc.2007.08.002     Document Type: Article

References (39)

1. Arnott R., de Palma A., and Lindsey R. Departure time and route choice for the morning commute. Transportation Research Part B 24 3 (1990) 209-228
2. Ben-Akiva M., Bolduc M.D., and Bradley M. Estimation of travel choice models with randomly distributed values of time. Transportation Research Record 1413 (1993) 88-97
3. Brownstone D., and Small K.A. Valuing time and reliability: assessing the evidence from road pricing demonstrations. Transportation Research Part A 39 4 (2005) 279-293
4. Cantarella G.E., and Binetti M. Stochastic equilibrium traffic assignment with value-of-time distributed among users. International Transactions in Operational Research 5 6 (1998) 541-553
5. Cirillo C., and Axhausen K.W. Evidence on the distribution of values of travel time savings from a six-week diary. Transportation Research Part A 40 5 (2006) 444-457
6. Dial R.B. A model and algorithms for multicriteria route-mode choice. Transportation Research Part B 13 4 (1979) 311-316
7. Dial R.B. Bicriterion traffic assignment: basic theory and elementary algorithms. Transportation Science 30 2 (1996) 93-110
8. Dial R.B. Bicriterion traffic assignment: efficient algorithms plus examples. Transportation Research Part B 31 5 (1997) 357-379
9. Dong, J., Erdoǧan, S., Lu, C.-C., Mahmassani, H.S., 2007. State-dependent pricing for real-time freeway management: static, reactive and anticipatory. Paper Presented in the 86th Annual Meeting of the Transportation Research Board.
10. Florian M. Network equilibrium models for analyzing toll highways. In: Lawphongpanich S., et al. (Ed). Mathematical and Computational Models for Congestion Charging (2006), Springer, New York, USA 105-116
11. Hensher D.A. The valuation of commuter travel time savings for car drivers: evaluating alternative model specifications. Transportation 28 2 (2001) 101-118
12. Jayakrishnan R., Mahmassani H.S., and Hu T.-Y. An evaluation tool for advanced traffic information and management systems in urban network. Transportation Research Part C 2 3 (1994) 129-147
13. Joksimovic, D., Bliemer, M.C.J., Bovy, P.H.L., Verwater-Lukszo, Z., 2005. Dynamic road pricing for optimizing network performance with heterogeneous users. In: Networking, Sensing, and Control, 2005, Proceedings, IEEE, pp. 407- 412.
14. Lam T.C., and Small K.A. The value of time and reliability: measurement from a value pricing experiment. Transportation Research Part E 37 2/3 (2001) 231-251
15. Leurent F. Cost versus time equilibrium over a network. European Journal of Operational Research 71 2 (1993) 205-221
16. Mahmassani H.S. Dynamic network traffic assignment and simulation methodology for advanced system management applications. Networks and Spatial Economics 1 3/4 (2001) 267-292
17. Mahmassani, H.S., Qin, X., Zhou, X., Mahfoud, R.H., Lu, C.-C., Erdogan, S., 2003. TMC evaluation report for a real-time DTA system prototype: phase 1.5B. Technical Report. Maryland Transportation Initiative, University of Maryland, College Park, USA.
18. Mahmassani, H.S., Fei, X., Eisenman, S., Zhou, X., 2005a. Adaptation and testing of DYNASMART-X as a decision support tool for the Maryland CHART traffic management center. Technical Report. Maryland Transportation Initiative, University of Maryland, College Park, USA.
19. Mahmassani H.S., Zhou X., and Lu C.-C. Toll pricing and heterogeneous users: approximation algorithms for finding bi-criterion time-dependent efficient paths in large-scale traffic networks. Transportation Research Record 1923 (2005) 28-36
20. Marcotte, P., Zhu, D.L., 1997. Equilibria with infinitely many differential classes of customers. In: Pang, J.-S., Ferris, M. (Eds.), Complementarity and Variational Problems. State of the Art, Proceedings of the 13th International Conference on Complementarity Problems. SIAM, Philadelphia, pp. 234-258.
21. Marcotte P. Reformulations of a bi-criterion equilibrium model. Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods. In: Fukushima M., and Qi L. (Eds) (1999), Kluwer Academic, Dordrecht, The Netherlands 269-292
22. Mekky A. Toll revenue and traffic study of highway 407 in Toronto. Transportation Research Record 1498 (1995) 5-15
23. Mekky, A., 1997. Comparing tolling strategies for highway 407 in the Greater Toronto area. Paper Presented at the 76th Annual Meeting of Transportation Research Board. Washington, DC, USA.
24. Nagel K., Esser J., and Rickert M. Large-scale traffic simulations for transport planning. In: Stauffer D. (Ed). Annual Review of Computer Physics VII (2000), World Scientific, Singapore 151-202
25. Nagurney A., and Dong J. A multiclass, multicriteria traffic network equilibrium model with elastic demand. Transportation Research Part B 36 5 (2002) 445-469
26. Nielsen, L.R., 2003. Route choice in stochastic time-dependent networks: theory, algorithms, and computational experience. Ph.D. Thesis. Department of Operations Research, University of Aarhus, Denmark.
27. Nielsen O.A., Daly A., and Frederiksen R.D. A stochastic route choice model for car travelers in the Copenhagen region. Networks and Spatial Economics 2 4 (2002) 327-346
28. Patriksson M. The traffic assignment problem: models and methods (1994), VSP. Utrecht, The Netherlands
29. Peeta, S., 1994. System optimal dynamic traffic assignment in congested networks with advanced information systems. Ph. D Dissertation. The University of Texas at Austin.
30. Peeta S., and Mahmassani H.S. System optimal and user equilibrium time-dependent traffic assignment in congested networks. Annals of Operations Research 60 (1995) 81-113
31. Peeta S., and Ziliaskopoulos A.K. Foundations of dynamic traffic assignment: the past, the present and the future. Networks and Spatial Economics 1 3/4 (2001) 233-265
32. Sheffi Y. Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods (1985), Prentice-Hall, New Jersey, USA
33. Small K.A., and Yan J. The value of "value pricing" of roads: second-best pricing and product differentiation. Journal of Urban Economics 49 2 (2001) 310-336
34. Small K.A., Winston C., and Yan J. Uncovering the distribution of motorists' preferences for travel time and reliability. Econometrica 73 4 (2005) 1367-1382
35. Smith M.J. The existence, uniqueness and stability of traffic equilibria. Transportation Research Part B 13 4 (1979) 295-304
36. Vickrey W.S. Congestion theory and transport investment. American Economics Review 72 3 (1969) 467-479
37. Wie B.-W., and Tobin R.L. Dynamic congestion pricing models for general traffic networks. Transportation Research Part B 32 5 (1998) 313-327
38. Yang H., and Meng H. Highway pricing and capacity choice in a road network under a build-operate-transfer scheme. Transportation Research Part A 34 3 (2000) 207-222
39. Yang H., Tang W.H., Cheung W.M., and Meng Q. Profitability and welfare gain of private toll roads in a network with heterogeneous users. Transportation Research Part A 36 6 (2002) 537-554