Speed-based toll design for cordon-based congestion pricing scheme

Transportation Research Part C: Emerging Technologies

Volumn 31, Issue , 2013, Pages 83-98

  Liu, Zhiyuan ^a   Meng, Qiang ^b   Wang, Shuaian ^c  

^a MONASH UNIVERSITY   (Australia)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

Continuous value of time; Cordon based congestion pricing; Distributed genetic algorithm; Elastic demand; Stochastic user equilibrium

Indexed keywords

COSTS; ENTERPRISE RESOURCE PLANNING; GENETIC ALGORITHMS; MATHEMATICAL PROGRAMMING; MOTOR TRANSPORTATION; SPEED; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; TRANSPORTATION CHARGES; TRAVEL TIME;

CONTINUOUS VALUE; CORDON-BASED CONGESTION; DISTRIBUTED GENETIC ALGORITHMS; ELASTIC DEMAND; STOCHASTIC USER EQUILIBRIUM;

TRAFFIC CONGESTION;

GENETIC ALGORITHM; PRICING POLICY; ROAD TRANSPORT; STOCHASTICITY; TRAFFIC CONGESTION; TRAFFIC MANAGEMENT;

SINGAPORE [SINGAPORE (NTN)]; SINGAPORE [SOUTHEAST ASIA];

EID: 84876326091     PISSN: 0968090X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trc.2013.02.012     Document Type: Article

References (63)

1. Allsop, R.E., 1974. Some possibilities of using traffic control to influence trip distribution and route choice. In: Buckley, D.J. (Ed.), Proceedings of the 6th International Symposium on Transportation and Traffic Theory, pp. 345-375.
2. Bar-Gera, H., 2010. Transportation Network Test Problems. (accessed 08.02.12). http://www.bgu.ac.il/.
3. Bellei G., Gentile G., Papola N. Network pricing optimization in multi-user and multimodal context with elastic demand. Transportation Research Part B 2002, 36:779-798.
4. Cantarella G.E. A general fixed-point approach to multimode multi-user equilibrium assignment with elastic demand. Transportation Science 1997, 31(2):107-128.
5. Cantarella G.E., Binetti M.G. Stochastic equilibrium traffic assignment with value-of-time distributed among user. International Transactions of Operational Research 1998, 5(6):541-553.
6. Chen M., Bernstein D.H. Solving the toll design problem with multiple user groups. Transportation Research Part B 2004, 38:61-79.
7. Chiou S.W. Bilevel programming for the continuous transport network design problem. Transportation Research Part B 2005, 39(4):361-383.
8. Cipriani E., Gori S., Petrelli Transit network design: a procedure and an application to a large urban area. Transportation Research Part C 2012, 20(1):3-14.
9. Clark S.D., Watling D.P. Sensitivity analysis of the probit-based stochastic user equilibrium assignment model. Transportation Research Part B 2002, 36:617-635.
10. Connors R.D., Sumalee A., Watling D.P. Sensitivity analysis of the variable demand probit stochastic user equilibrium with multiple user-classes. Transportation Research Part B 2007, 41:593-615.
11. Daganzo C.F., Sheffi Y. On stochastic models of traffic assignment. Transportation Science 1977, 11(3):253-274.
12. de Palma A., Lindsey R. Traffic congestion pricing methodologies and technologies. Transportation Research Part C 2011, 19(6):1377-1399.
13. Dial R.B. Bicriteria traffic assignment: basic theory and elementary algorithm. Transportation Science 1996, 30:93-111.
14. Dial R.B. Bicriterion traffic assignment: efficient algorithm plus examples. Transportation Research Part B 1997, 31:357-379.
15. Eliasson J. A cost-benefit analysis of the Stockholm congestion charging system. Transportation Research Part A 2009, 43(4):468-480.
16. Gen, T., Cheng, R., 1997. Genetic Algorithms and Engineering Design. John Wiley & Sons, Inc.
17. Goldberg D. Genetic Algorithms in Search, Optimization and Machine Learning 1989, Addison-Wesley, Reading, MA.
18. Gropp W., Lusk E., Skjellum A. Using MPI: Portable Parallel Programming with the Message-Passing Interface 1999, The MIT Press.
19. Han D., Yang H. The multi-class, multi-criterion traffic equilibrium and the efficiency of congestion pricing. Transportation Research Part E 2008, 44(5):753-773.
20. Han D., Yang H. Congestion pricing in the absence of demand functions. Transportation Research Part E 2009, 45(1):159-171.
21. Huang, H.J., Yang, H., 1996. Optimal variable road-use pricing on a congested network of parallel routes with elastic demand. In: Lessort J.B. (Ed.), Transportation and Traffic Theory. Elsevier Science, pp. 479-500.
22. Lam T.C., Small K.A. The value of time and reliability: measurement from a value pricing experiment. Transportation Research Part E 2001, 37:231-251.
23. Lawphongpanich S., Yin Y. Nonlinear pricing on transportation networks. Transportation Research Part C 2012, 20(1):218-235.
24. Lawphongpanich S., Hearn D.S., Smith M.J. Mathematical and Computational Model for Congestion Charging 2006, Springer.
25. Leurent F. Cost versus time equilibrium over a network. European Journal of Operational Research 1993, 71:205-221.
26. Lewis N.C. Road Pricing: Theory and Practice 1993, Thomas Telford, London.
27. Li M.Z.F. Estimating congestion toll by using traffic count data - Singapore's Area Licensing Scheme. Transportation Research Part E 1999, 35:1-10.
28. Li M.Z.F. The role of speed-flow relationship in congestion pricing implementation with an application to Singapore. Transportation Research Part B 2002, 36:731-754.
29. Liu Z., Meng Q. Distributed computing approaches for large-scale probit-based Stochastic User Equilibrium problems. Journal of Advanced Transportation 2011, 10.1002/atr.177.
30. Liu Z., Meng Q. Modelling transit-based park-and-ride services on a multimodal network with congestion pricing schemes. International Journal of Systems Science 2012, 10.1080/00207721.2012.743617.
31. Maher M.J., Hughes P.C. A probit-based stochastic user equilibrium assignment model. Transportation Research Part B 1997, 31(4):341-355.
32. Maher M.J., Zhang X., 2000. Formulation and algorithms for the problem of stochastic user equilibrium assignment with elastic demand. In: 8th EURO Working Group Meeting on Transportation, Rome, September 2000.
33. Maher M., Stewart K., Rosa A. Stochastic social optimum traffic assignment. Transportation Research Part B 2005, 39:753-767.
34. Mayet J., Hansen M. Congestion pricing with continuously distributed values of time. Journal of Transport Economics and Policy 2000, 34:359-370.
35. McDonald J.F. Urban highway congestion. An analysis of second-best tolls. Transportation 1995, 22(4):353-369.
36. Meng Q., Liu Z. Mathematical models and computational algorithms for probit-based asymmetric stochastic user equilibrium problem with elastic demand. Transportmetrica 2011, 10.1080/18128601003736026.
37. Meng Q., Liu Z., Wang S. Optimal distance tolls under congestion pricing and continuously distributed value of time. Transportation Research Part E 2012, 48:937-957.
38. Meng Q., Yang H., Bell M.G.H. An equivalent continuously differentiable model and a locally convergent algorithm for the continuous network design problem. Transportation Research Part B 2001, 35(1):83-105.
39. Nagel K., Rickert M. Parallel implementation of the TRANSIMS micro-simulation. Parallel Computing 2001, 27:1161-1639.
40. Nie Y., Liu Y. Existence of self-financing and Pareto-improving congestion pricing: impact of value of time distribution. Transportation Research Part B 2010, 44:39-51.
41. Olszewski P., Xie L. Modelling the effects of road pricing on traffic in Singapore. Transportation Research Part A 2005, 39:755-772.
42. Olszewski P., Fan H.S.L., Tan Y.-W. Area-wide traffic speed-flow model for the Singapore CBD. Transportation Research Part A 1995, 29(4):273-281.
43. Phang S.-Y., Toh R.S. From manual to electronic road congesting pricing: the Singapore experience and experiment. Transportation Research Part E 1997, 33(2):97-106.
44. Rosa, A., Maher, M.J., 2002. Algorithms for solving the probit path-based SUE traffic assignment problem with one or more user classes. In: Transportation and Traffic Theory in the 21st Century. Proceedings of the 15th ISTTT, pp. 371-392.
45. Santos, G., 2008. The London congestion charging scheme, 2003-2006. In: Richardson, H.W., Bae, C-H.C., (Eds.), Road congestion pricing in Europe - Implications for the United States. Edward Elgar Publishing, Inc.
46. Sheffi Y. Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Models 1985, Prentice-Hall, Inc., Englewood Cliffs, New Jersey.
47. Sheffi Y., Powell W.B. A comparison of stochastic and deterministic traffic assignment over congested networks. Transportation Research Part B 1981, 15(1):53-64.
48. Singapore Land Transport Authority Website, 2012. (accessed 04.08.12). http://www.lta.gov.sg/content/lta/en.html.
49. Small K.A., Verhoef E.T. The Economics of Urban Transportation 2007, Routledge, London.
50. Small K.A., Winston C., Yan J. Uncovering the distribution of motorists' preferences for travel time and reliability. Econometrica 2005, 73(4):1367-1382.
51. Sumalee A., Xu W. First-best marginal cost toll for a traffic network with stochastic demand. Transportation Research Part B 2011, 45:41-59.
52. Suwansirikul C., Friesz T.L., Tobin R.L. Equilibrium decomposed optimization: a heuristic for the continuous equilibrium network design problems. Transportation Science 1987, 21(4):254-263.
53. Verhoef E.T., Small K.A. Product differentiation on roads: constrained congestion pricing with heterogeneous users. Journal of Transport Economics Policy 2004, 38(1):127-156.
54. Wong S.C., Wong C.K., Tong C.O. A parallelized genetic algorithm for the calibration of Lowry model. Parallel Computing 2001, 27:1523-1536.
55. Xiao F., Yang H. Efficiency loss of private road with continuously distributed value-of-time. Transportmetrica 2008, 4:19-32.
56. Yang H. Sensitivity analysis for the elastic-demand network equilibrium problem with applications. Transportation Research Part B 1997, 31(1):55-70.
57. Yang H., Huang H.-J. Principle of marginal-cost pricing: how does it work in a general network?. Transportation Research Part A 1998, 32:45-54.
58. Yang H., Huang H.-J. Mathematical and Economic Theory of Road Pricing 2005, Elsevier Ltd.
59. Yang H., Kong H.Y., Meng Q. Value-of-time distributions and competitive bus services. Transportation Research Part E 2001, 37(6):411-424.
60. Yang H., Meng Q., Lee D.-H. Trial-and-error implementation of marginal-cost pricing on networks in the absence of demand functions. Transportation Research Part B 2004, 38:477-493.
61. Yang H., Xu W., He B.S., Meng Q. Road pricing for congestion control with unknown demand and cost functions. Transportation Research Part C 2009, 18(2):157-175.
62. Yang H., Xu W., Heydecker B. Bounding the efficiency of road pricing. Transportation Research Part E 2010, 46(1):90-108.
63. Zhao Y., Kockelman K.M. On-line marginal-cost pricing across networks: incorporating heterogeneous users and stochastic equilibria. Transportation Research Part B 2006, 40:424-435.