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A first best toll pricing framework for variable demand traffic assignment problems

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  • Yildirim, Mehmet Bayram
  • Hearn, Donald W.

Abstract

In this paper, we present a toll pricing framework for a general variable demand traffic assignment problem with side constraints, where the demand between an origin destination pair is a function of the least total travel cost for making the trip. This general demand model unifies earlier toll pricing treatments of the variable demand models including elastic demand traffic assignment problems and combined distribution assignment problems. All of these models have the constant toll revenue property. Given that users experience the side constraints, we show that when they are charged by a toll vector in the first best toll set, the system optimal flows and demands are achieved. We then present a toll pricing framework by which a traffic planner might find the most appropriate toll vector given certain restrictions and objectives on the network. Finally, we derive the toll sets and illustrate the toll pricing framework for specific instances of the general variable demand models.

Suggested Citation

  • Yildirim, Mehmet Bayram & Hearn, Donald W., 2005. "A first best toll pricing framework for variable demand traffic assignment problems," Transportation Research Part B: Methodological, Elsevier, vol. 39(8), pages 659-678, September.
  • Handle: RePEc:eee:transb:v:39:y:2005:i:8:p:659-678
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    References listed on IDEAS

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    1. Larsson, Torbjörn & Patriksson, Michael, 1999. "Side constrained traffic equilibrium models-- analysis, computation and applications," Transportation Research Part B: Methodological, Elsevier, vol. 33(4), pages 233-264, May.
    2. 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.
    3. 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.
    4. Ferrari, Paolo, 1995. "Road pricing and network equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 29(5), pages 357-372, October.
    5. Larsson, Torbjörn & Patriksson, Michael, 1995. "An augmented lagrangean dual algorithm for link capacity side constrained traffic assignment problems," Transportation Research Part B: Methodological, Elsevier, vol. 29(6), pages 433-455, December.
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    Citations

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    Cited by:

    1. Marcycruz de Leon & Thomas M Fullerton Jr & Brian W Kelly, 2009. "Tolls, Exchange Rates, And Borderplex International Bridge Traffic," Articles, International Journal of Transport Economics, vol. 36(2).
    2. Yang, Hai & Wang, Xiaolei, 2011. "Managing network mobility with tradable credits," Transportation Research Part B: Methodological, Elsevier, vol. 45(3), pages 580-594, March.
    3. Chen, Xiaoming & Zhou, Xuesong & List, George F., 2011. "Using time-varying tolls to optimize truck arrivals at ports," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 965-982.
    4. Cantarella, Giulio Erberto & Cartenì, Armando & de Luca, Stefano, 2015. "Stochastic equilibrium assignment with variable demand: Theoretical and implementation issues," European Journal of Operational Research, Elsevier, vol. 241(2), pages 330-347.
    5. Lihui Bai & Donald Hearn & Siriphong Lawphongpanich, 2010. "A heuristic method for the minimum toll booth problem," Journal of Global Optimization, Springer, vol. 48(4), pages 533-548, December.
    6. Wang, Hua & Zhang, Xiaoning, 2016. "Joint implementation of tradable credit and road pricing in public-private partnership networks considering mixed equilibrium behaviors," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 94(C), pages 158-170.
    7. Mahyar Amirgholy & Hojjat Rezaeestakhruie & Hossain Poorzahedy, 2015. "Multi-objective cordon price design to control long run adverse traffic effects in large urban areas," Netnomics, Springer, vol. 16(1), pages 1-52, August.
    8. repec:eee:apmaco:v:266:y:2015:i:c:p:390-403 is not listed on IDEAS
    9. Yitian Wang & Zixuan Peng & Keming Wang & Xiaolin Song & Baozhen Yao & Tao Feng, 2015. "Research on Urban Road Congestion Pricing Strategy Considering Carbon Dioxide Emissions," Sustainability, MDPI, Open Access Journal, vol. 7(8), pages 1-20, August.
    10. Ohazulike, Anthony E. & Still, Georg & Kern, Walter & van Berkum, Eric C., 2013. "An origin–destination based road pricing model for static and multi-period traffic assignment problems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 58(C), pages 1-27.

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