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Robust network pricing and system optimization under combined long-term stochasticity and elasticity of travel demand

Author

Listed:
  • Prateek Bansal

    (Cornell University)

  • Rohan Shah

    (CDM Smith)

  • Stephen D. Boyles

    (The University of Texas at Austin)

Abstract

Network pricing serves as an instrument for congestion management, however, agencies and planners often encounter problems of estimating appropriate toll prices. Tolls are commonly estimated for a single-point deterministic travel demand, which may lead to imperfect policy decisions due to inherent uncertainties in future travel demand. Previous research has addressed the issue of demand uncertainty in the pricing context, but the elastic nature of demand along with its uncertainty has not been explicitly considered. Similarly, interactions between elasticity and uncertainty of demand have not been characterized. This study addresses these gaps and proposes a framework to estimate nearest optimal first-best tolls under long-term stochasticity in elastic demand. We show first that the optimal tolls under the deterministic-elastic and stochastic-elastic demand cases coincide when cost and demand functions are linear, and the set of equilibrium paths is constant. These assumptions are restrictive, so three larger networks are considered numerically, and the subsequent pricing decisions are assessed. The results of the numerical experiments suggest that in many cases, optimal pricing decisions under the combined stochastic-elastic demand scenario resemble those when demand is known exactly. The applications in this study thus suggest that inclusion of demand elasticity offsets the need of considering future demand uncertainties for first-best congestion pricing frameworks.

Suggested Citation

  • Prateek Bansal & Rohan Shah & Stephen D. Boyles, 2018. "Robust network pricing and system optimization under combined long-term stochasticity and elasticity of travel demand," Transportation, Springer, vol. 45(5), pages 1389-1418, September.
    • Handle: RePEc:kap:transp:v:45:y:2018:i:5:d:10.1007_s11116-017-9769-z
    DOI: 10.1007/s11116-017-9769-z
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    as
    1. Chen, Bi Yu & Lam, William H.K. & Sumalee, Agachai & Li, Qingquan & Li, Zhi-Chun, 2012. "Vulnerability analysis for large-scale and congested road networks with demand uncertainty," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(3), pages 501-516.
    2. Ieromonachou, P. & Potter, S. & Warren, J.P., 2006. "Norway's urban toll rings: Evolving towards congestion charging?," Transport Policy, Elsevier, vol. 13(5), pages 367-378, September.
    3. Kockelman, Kara M. & Lemp, Jason D., 2011. "Anticipating new-highway impacts: Opportunities for welfare analysis and credit-based congestion pricing," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(8), pages 825-838, October.
    4. Shu Lu, 2008. "Sensitivity of Static Traffic User Equilibria with Perturbations in Arc Cost Function and Travel Demand," Transportation Science, INFORMS, vol. 42(1), pages 105-123, February.
    5. Le Vine, Scott & Polak, John, 2016. "A novel peer-to-peer congestion pricing marketplace enabled by vehicle-automation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 94(C), pages 483-494.
    6. d'Ouville, Edmond L. & McDonald, John F., 1990. "Effects of demand uncertainty on optimal capacity and congestion tolls for urban highways," Journal of Urban Economics, Elsevier, vol. 28(1), pages 63-70, July.
    7. Nathan H. Gartner, 1980. "Optimal Traffic Assignment with Elastic Demands: A Review Part II. Algorithmic Approaches," Transportation Science, INFORMS, vol. 14(2), pages 192-208, May.
    8. 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.
    9. Jafari, Ehsan & Boyles, Stephen D., 2016. "Improved bush-based methods for network contraction," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 298-313.
    10. Chen, Anthony & Subprasom, Kitti, 2007. "Analysis of regulation and policy of private toll roads in a build-operate-transfer scheme under demand uncertainty," Transportation Research Part A: Policy and Practice, Elsevier, vol. 41(6), pages 537-558, July.
    11. Hillel Bar-Gera, 2006. "Primal Method for Determining the Most Likely Route Flows in Large Road Networks," Transportation Science, INFORMS, vol. 40(3), pages 269-286, August.
    12. Watling, D.P. & Shepherd, S.P. & Koh, A., 2015. "Cordon toll competition in a network of two cities: Formulation and sensitivity to traveller route and demand responses," Transportation Research Part B: Methodological, Elsevier, vol. 76(C), pages 93-116.
    13. Kraus, Marvin, 1982. "Highway pricing and capacity choice under uncertain demand," Journal of Urban Economics, Elsevier, vol. 12(1), pages 122-128, July.
    14. Josefsson, Magnus & Patriksson, Michael, 2007. "Sensitivity analysis of separable traffic equilibrium equilibria with application to bilevel optimization in network design," Transportation Research Part B: Methodological, Elsevier, vol. 41(1), pages 4-31, January.
    15. F. H. Knight, 1924. "Some Fallacies in the Interpretation of Social Cost," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 38(4), pages 582-606.
    16. Kalyan Raman & Rabikar Chatterjee, 1995. "Optimal Monopolist Pricing Under Demand Uncertainty in Dynamic Markets," Management Science, INFORMS, vol. 41(1), pages 144-162, January.
    17. Ho, H.W. & Wong, S.C. & Yang, Hai & Loo, Becky P.Y., 2005. "Cordon-based congestion pricing in a continuum traffic equilibrium system," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(7-9), pages 813-834.
    18. Gardner, Lauren M. & Boyles, Stephen D. & Waller, S. Travis, 2011. "Quantifying the benefit of responsive pricing and travel information in the stochastic congestion pricing problem," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(3), pages 204-218, March.
    19. 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.
    20. Rambha, Tarun & Boyles, Stephen D., 2016. "Dynamic pricing in discrete time stochastic day-to-day route choice models," Transportation Research Part B: Methodological, Elsevier, vol. 92(PA), pages 104-118.
    21. Liu, Shiyong & Triantis, Konstantinos P. & Sarangi, Sudipta, 2010. "A framework for evaluating the dynamic impacts of a congestion pricing policy for a transportation socioeconomic system," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(8), pages 596-608, October.
    22. Nathan H. Gartner, 1980. "Optimal Traffic Assignment with Elastic Demands: A Review Part I. Analysis Framework," Transportation Science, INFORMS, vol. 14(2), pages 174-191, May.
    23. Michael Patriksson, 2004. "Sensitivity Analysis of Traffic Equilibria," Transportation Science, INFORMS, vol. 38(3), pages 258-281, August.
    24. Takeshi Nagae & Takashi Akamatsu, 2006. "Dynamic Revenue Management of a Toll Road Project under Transportation Demand Uncertainty," Networks and Spatial Economics, Springer, vol. 6(3), pages 345-357, September.
    25. May, A. D. & Milne, D. S., 2000. "Effects of alternative road pricing systems on network performance," Transportation Research Part A: Policy and Practice, Elsevier, vol. 34(6), pages 407-436, August.
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    2. Fournier, Nicholas PhD & Patire, Anthony PhD & Skabardonis, Alexander PhD, 2023. "A Futures Market for Demand Responsive Travel Pricing," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt6g34r2mx, Institute of Transportation Studies, UC Berkeley.

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