Modeling private highways in networks with entry-exit based toll charges
AbstractPrevious studies on private highways generally involve network equilibrium models with link-specific and hence link-additive toll charges. In reality, toll charges for private highways depend on the entry and exit points, which are not always link-additive. This study formulates and solves the optimal toll design problem of private highways with entry-exit based toll charges using a bi-level programming approach. The lower-level traffic equilibrium problem with entry-exit based toll charges is still formulated as an optimization problem and the Frank-Wolfe algorithm is adapted for finding its solution, where the descent direction-finding sub-problem (all-or-nothing traffic assignment) is solved via a simple network transformation. The proposed method circumvents the difficulty of path enumeration or generation frequently involved in general non-additive traffic assignment problems and, hence, has the potentials to efficiently solve large network problems. Following an exploration of the properties of the lower-level traffic equilibrium sub-problem, the bi-level optimal toll design problem is solved by a recently developed efficient marginal function approach.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Transportation Research Part B: Methodological.
Volume (Year): 38 (2004)
Issue (Month): 3 (March)
Contact details of provider:
Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/548/description#description
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- AndrÊ de Palma & Robin Lindsey, 2000. "Private toll roads: Competition under various ownership regimes," The Annals of Regional Science, Springer, vol. 34(1), pages 13-35.
- Yan, Hai & Lam, William H. K., 1996. "Optimal road tolls under conditions of queueing and congestion," Transportation Research Part A: Policy and Practice, Elsevier, vol. 30(5), pages 319-332, September.
- Yang, Hai & Huang, Hai-Jun, 1998. "Principle of marginal-cost pricing: how does it work in a general road network?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(1), pages 45-54, January.
- Martine Labbé & Patrice Marcotte & Gilles Savard, 1998. "A Bilevel Model of Taxation and Its Application to Optimal Highway Pricing," Management Science, INFORMS, vol. 44(12-Part-1), pages 1608-1622, December.
- Yang, Hai & Bell, Michael G. H., 1997. "Traffic restraint, road pricing and network equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 31(4), pages 303-314, August.
- Dial, Robert B., 2000. "Minimal-revenue congestion pricing Part II: An efficient algorithm for the general case," Transportation Research Part B: Methodological, Elsevier, vol. 34(8), pages 645-665, November.
- Dial, Robert B., 1999. "Minimal-revenue congestion pricing part I: A fast algorithm for the single-origin case," Transportation Research Part B: Methodological, Elsevier, vol. 33(3), pages 189-202, April.
- Meng, Q. & Yang, H. & Bell, M. G. H., 2001. "An equivalent continuously differentiable model and a locally convergent algorithm for the continuous network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 83-105, January.
- Yang, Hai & Meng, Qiang, 2000. "Highway pricing and capacity choice in a road network under a build-operate-transfer scheme," Transportation Research Part A: Policy and Practice, Elsevier, vol. 34(3), pages 207-222, April.
- Ferrari, Paolo, 1995. "Road pricing and network equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 29(5), pages 357-372, October.
- Yang, Hai & Tang, Wilson H. & Man Cheung, Wing & Meng, Qiang, 2002. "Profitability and welfare gain of private toll roads in a network with heterogeneous users," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(6), pages 537-554, July.
- François Gilbert & Patrice Marcotte & Gilles Savard, 2014. "Mixed-logit network pricing," Computational Optimization and Applications, Springer, vol. 57(1), pages 105-127, January.
- Li, Changmin & Yang, Hai & Zhu, Daoli & Meng, Qiang, 2012. "A global optimization method for continuous network design problems," Transportation Research Part B: Methodological, Elsevier, vol. 46(9), pages 1144-1158.
- André de Palma & Robin Lindsey & Fang Wu, 2008.
"Private Operators and Time-of-Day Tolling on a Congested Road Network,"
Journal of Transport Economics and Policy,
London School of Economics and University of Bath, vol. 42(3), pages 397-433, September.
- André de Palma & Robin Lindsey & Fang Wu, 2007. "Private operators and time-of-day tolling on a congested road network," THEMA Working Papers 2007-02, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Loukas Dimitriou & Theodore Tsekeris & Antony Stathopoulos, 2009. "Joint pricing and design of urban highways with spatial and user group heterogeneity," Netnomics, Springer, vol. 10(1), pages 141-160, April.
- Yang, Hai & Zhang, Xiaoning & Meng, Qiang, 2007. "Stackelberg games and multiple equilibrium behaviors on networks," Transportation Research Part B: Methodological, Elsevier, vol. 41(8), pages 841-861, October.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.