Table of Contents Author Guidelines Submit a Manuscript
Journal of Advanced Transportation
Volume 2017 (2017), Article ID 3127398, 12 pages
https://doi.org/10.1155/2017/3127398
Research Article

A Road Pricing Model for Congested Highways Based on Link Densities

1School of Industrial Engineering, Universidad Diego Portales, Ejército 441, Santiago de Chile, Chile
2School of Government, Universidad del Desarrollo, Av. Plaza 680, Santiago de Chile, Chile

Correspondence should be addressed to Louis de Grange; lc.pdu@egnarged.siuol

Received 7 June 2017; Revised 27 July 2017; Accepted 9 August 2017; Published 17 October 2017

Academic Editor: Sara Moridpour

Copyright © 2017 Louis de Grange et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. L. de Grange, F. Gonzalez, and S. Bekhor, “Path flow and trip matrix estimation using link flow density,” Networks and Spatial Economics, vol. 17, no. 1, pp. 173–195, 2017. View at Publisher · View at Google Scholar · View at MathSciNet
  2. X. Zhang, “Editorial: Optimization methods of road pricing,” European Journal of Transport and Infrastructure Research, vol. 14, pp. 1–6, 2014. View at Google Scholar
  3. A. C. Pigou, The Economics of Welfare, Macmillan and Co., London, UK, 1920.
  4. F. H. Knight, “Some fallacies in the interpretation of social cost,” The Quarterly Journal of Economics, vol. 38, no. 4, pp. 582–606, 1924. View at Publisher · View at Google Scholar · View at Scopus
  5. A. A. Walters, “The theory and measurement of private and social cost of highway congestion,” Econometrica, vol. 29, no. 4, pp. 676–699, 1961. View at Publisher · View at Google Scholar
  6. S. C. Dafermos and F. T. Sparrow, “Optimal resource allocation and toll patterns in user-optimized transport networks,” Journal of Transport Economics and Policy, vol. 5, pp. 184–200, 1971. View at Google Scholar
  7. S. C. Dafermos, “Toll patterns for multi class-user transportation network,” Transportation Science, vol. 7, no. 3, pp. 211–223, 1973. View at Publisher · View at Google Scholar · View at Scopus
  8. M. J. Smith, “The marginal cost taxation of a transportation network,” Transportation Research Part B: Methodological, vol. 13, no. 3, pp. 237–242, 1979. View at Publisher · View at Google Scholar · View at Scopus
  9. H. Yang and H.-J. Huang, “Principle of marginal-cost pricing: how does it work in a general road network?” Transportation Research Part A: Policy and Practice, vol. 32, no. 1, pp. 45–54, 1998. View at Publisher · View at Google Scholar · View at Scopus
  10. W.-X. Wu and H.-J. Huang, “Equilibrium and modal split in a competitive highway/transit system under different road-use pricing strategies,” Journal of Transport Economics and Policy, vol. 48, no. 1, pp. 153–169, 2014. View at Google Scholar · View at Scopus
  11. O. M. Rouhani, “Road pricing: an overview,” MPRA Paper, no. 59662, 2014, http://mpra.ub.uni-muenchen.de/59662/1/MPRA_paper_59662.pdf. View at Google Scholar
  12. L. de Grange and R. Troncoso, “Shortcomings in urban road pricing,” EURE, vol. 41, no. 122, pp. 167–184, 2015. View at Google Scholar · View at Scopus
  13. C. Foster, “The regressiveness of road pricing,” International Journal of Transport Economics, vol. 1, pp. 133–141, 1974. View at Google Scholar
  14. R. Arnott, A. de Palma, and R. Lindsey, “A structural model of peak-period congestion: a traffic bottleneck with elastic demand,” The American Economic Review, vol. 83, no. 1, pp. 161–179, 1993. View at Google Scholar
  15. T. Gehlert, C. Kramer, O. A. Nielsen, and B. Schlag, “Socioeconomic differences in public acceptability and car use adaptation towards urban road pricing,” Transport Policy, vol. 18, no. 5, pp. 685–694, 2011. View at Publisher · View at Google Scholar · View at Scopus
  16. J. Linn, Z. Wang, and L. Xie, “Who will be affected by a congestion pricing scheme in Beijing?” Transport Policy, vol. 47, pp. 34–40, 2016. View at Publisher · View at Google Scholar · View at Scopus
  17. M. Börjesson, J. Eliasson, M. B. Hugosson, and K. Brundell-Freij, “The Stockholm congestion charges-5 years on. Effects, acceptability and lessons learnt,” Transport Policy, vol. 20, pp. 1–12, 2012. View at Publisher · View at Google Scholar · View at Scopus
  18. P. Ieromonachou, S. Potter, and J. P. Warren, “Norway's urban toll rings: evolving towards congestion charging?” Transport Policy, vol. 13, no. 5, pp. 367–378, 2006. View at Publisher · View at Google Scholar · View at Scopus
  19. H. Yan and W. H. K. Lam, “Optimal road tolls under conditions of queueing and congestion,” Transportation Research Part A: Policy and Practice, vol. 30, no. 5, pp. 319–332, 1996. View at Publisher · View at Google Scholar · View at Scopus
  20. H. Yang and X. Zhang, “Multiclass network toll design problem with social and spatial equity constraints,” Journal of Transportation Engineering, vol. 128, no. 5, pp. 420–428, 2002. View at Publisher · View at Google Scholar · View at Scopus
  21. X. Zhang and H. Yang, “The optimal cordon-based network congestion pricing problem,” Transportation Research Part B: Methodological, vol. 38, no. 6, pp. 517–537, 2004. View at Publisher · View at Google Scholar · View at Scopus
  22. X. Zhang and B. van Wee, “Enhancing transportation network capacity by congestion pricing with simultaneous toll location and toll level optimization,” Engineering Optimization, vol. 44, no. 4, pp. 477–488, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. R. M. Braid, “Uniform versus peak-load pricing of a bottleneck with elastic demand,” Journal of Urban Economics, vol. 26, no. 3, pp. 320–327, 1989. View at Publisher · View at Google Scholar · View at Scopus
  24. C.-H. Laih, “Queueing at a bottleneck with single- and multi-step tolls,” Transportation Research Part A: Policy and Practice, vol. 28, no. 3, pp. 197–208, 1994. View at Publisher · View at Google Scholar · View at Scopus
  25. S.-I. Mun, “Peak-load pricing of a bottleneck with traffic jam,” Journal of Urban Economics, vol. 46, no. 3, pp. 323–349, 1999. View at Publisher · View at Google Scholar · View at Scopus
  26. D. Levinson and P. Rafferty, “Delayer pays principle examining congestion pricing with compensation,” International Journal of Transport Economics, vol. 31, no. 3, pp. 295–311, 2004. View at Google Scholar · View at Scopus
  27. A. de Palma, M. Kilani, and R. Lindsey, “Congestion pricing on a road network: a study using the dynamic equilibrium simulator METROPOLIS,” Transportation Research Part A: Policy and Practice, vol. 39, no. 7–9, pp. 588–611, 2005. View at Publisher · View at Google Scholar · View at Scopus
  28. M. Kuwahara, “A theory and implications on dynamic marginal cost,” Transportation Research Part A: Policy and Practice, vol. 41, no. 7, pp. 627–643, 2007. View at Publisher · View at Google Scholar · View at Scopus
  29. Z. Liu, S. Wang, and Q. Meng, “Toll pricing framework under logit-based stochastic user equilibrium constraints,” Journal of Advanced Transportation, vol. 48, no. 8, pp. 1121–1137, 2013. View at Publisher · View at Google Scholar · View at Scopus
  30. C. F. Daganzo and L. J. Lehe, “Distance-dependent congestion pricing for downtown zones,” Transportation Research Part B: Methodological, vol. 75, pp. 89–99, 2015. View at Publisher · View at Google Scholar · View at Scopus
  31. A. E. Ohazulike, G. Still, W. Kern, and E. C. van Berkum, “An origin-destination based road pricing model for static and multi-period traffic assignment problems,” Transportation Research Part E: Logistics and Transportation Review, vol. 58, pp. 1–27, 2013. View at Publisher · View at Google Scholar · View at Scopus
  32. K. Ahn, “Road pricing and bus service policies,” Journal of Transport Economics and Policy, vol. 43, no. 1, pp. 25–53, 2009. View at Google Scholar · View at Scopus
  33. J. Ekström, I. Kristoffersson, and N.-H. Quttineh, “Surrogate-based optimization of cordon toll levels in congested traffic networks,” Journal of Advanced Transportation, vol. 50, no. 6, pp. 1008–1033, 2016. View at Publisher · View at Google Scholar · View at Scopus
  34. E. T. Verhoef, “Second-best road pricing through highway franchising,” Journal of Urban Economics, vol. 62, no. 2, pp. 337–361, 2007. View at Publisher · View at Google Scholar · View at Scopus
  35. E. T. Verhoef and J. Rouwendal, “Pricing, capacity choice, and financing in transportation networks,” Journal of Regional Science, vol. 44, no. 3, pp. 405–435, 2004. View at Publisher · View at Google Scholar · View at Scopus
  36. B. Ubbels and E. T. Verhoef, “Auctioning concessions for private roads,” Transportation Research Part A: Policy and Practice, vol. 42, no. 1, pp. 155–172, 2008. View at Publisher · View at Google Scholar · View at Scopus
  37. N. E. Edelson, “Congestion tolls under monopoly,” American Economic Review, vol. 61, no. 2, pp. 872–882, 1971. View at Google Scholar
  38. H. Mohring, “Profit maximization, cost minimization, and pricing for congestion-prone facilities.,” Logistics & Transportation Review, vol. 21, no. 1, pp. 27–36, 1985. View at Google Scholar · View at Scopus
  39. F. Zhu and S. V. Ukkusuri, “A reinforcement learning approach for distance-based dynamic tolling in the stochastic network environment,” Journal of Advanced Transportation, vol. 49, no. 2, pp. 247–266, 2015. View at Publisher · View at Google Scholar · View at Scopus
  40. E. T. Verhoef, “Speed-flow relations and cost functions for congested traffic: theory and empirical analysis,” Transportation Research Part A: Policy and Practice, vol. 39, no. 7–9, pp. 792–812, 2005. View at Publisher · View at Google Scholar · View at Scopus
  41. P. Ferrari, “Road network toll pricing and social welfare,” Transportation Research Part B: Methodological, vol. 36, no. 5, pp. 471–483, 2002. View at Publisher · View at Google Scholar · View at Scopus
  42. S.-I. Mun and K.-J. Ahn, “Road pricing in a serial network,” Journal of Transport Economics and Policy, vol. 42, no. 3, pp. 367–395, 2008. View at Google Scholar · View at Scopus
  43. O. Álvarez, P. Cantos, and R. Pereira, “Precios óptimos en el transporte por carretera en España,” Revista de Economía Aplicada, vol. 45, pp. 155–182, 2007. View at Google Scholar
  44. D. A. Hensher and Z. Li, “Referendum voting in road pricing reform: a review of the evidence,” Transport Policy, vol. 25, pp. 186–197, 2013. View at Publisher · View at Google Scholar · View at Scopus
  45. E. Hysing, “Citizen participation or representative government—Building legitimacy for the Gothenburg congestion tax,” Transport Policy, vol. 39, pp. 1–8, 2015. View at Publisher · View at Google Scholar · View at Scopus
  46. J. M. Grisolía, F. López, and J. D. D. Ortúzar, “Increasing the acceptability of a congestion charging scheme,” Transport Policy, vol. 39, pp. 37–47, 2015. View at Publisher · View at Google Scholar · View at Scopus
  47. H. Ohta, “Probing a traffic congestion controversy: density and flow scrutinized,” Journal of Regional Science, vol. 41, no. 4, pp. 659–680, 2001. View at Publisher · View at Google Scholar · View at Scopus
  48. E. T. Verhoef, “Probing a traffic congestion controversy: a comment,” Journal of Regional Science, vol. 41, no. 4, pp. 681–694, 2001. View at Publisher · View at Google Scholar · View at Scopus
  49. R. H. Liu, T. May, and S. Shepherd, “On the fundamental diagram and supply curves for congested urban networks,” Transportation Research Part A: Policy and Practice, vol. 45, no. 9, pp. 951–965, 2011. View at Publisher · View at Google Scholar · View at Scopus
  50. H. Link, “A cost function approach for measuring the marginal cost of road maintenance,” Journal of Transport Economics and Policy, vol. 48, no. 1, pp. 15–33, 2014. View at Google Scholar · View at Scopus
  51. H. Wang, J. Li, Q. Y. Chen, and D. Ni, “Speed-density relationship: from deterministic to stochastic,” in Proceedings of the Transportation Research Board 88th Annual Meeting, vol. 10, January 2009.
  52. M. Z. F. Li, “The role of speed-flow relationship in congestion pricing implementation with an application to Singapore,” Transportation Research Part B: Methodological, vol. 36, no. 8, pp. 731–754, 2002. View at Publisher · View at Google Scholar · View at Scopus