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Dynamic Revenue Management of a Toll Road Project under Transportation Demand Uncertainty

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Abstract

This study proposes a prototype quantitative method for dynamic revenue management of a private toll road, taking into account the long-term dynamics of transportation demand. This is first formulated as a stochastic singular control problem, in which the manager can choose the toll level from two discrete values. Each toll change requires nonnegative adjustment costs. Our analysis then reveals that the optimality condition reduces to standard linear complementarity problems, by using certain function transformation techniques. This enables us to develop an efficient algorithm for solving the problem, exploiting the recent advances in the theory of complementarity problems.

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Reference

  • Arnott R, Kraus M (1995) Financing capacity in the bottleneck model. J Urban Econ 38:272–290

    Article  Google Scholar 

  • Beckmann MJ (1965) On optimal tolls for highways, tunnels and bridges. In: Edie L, Herman R, Rothery R (eds.) Vehicular traffic science. Elsevier, pp. 331–341

  • Dafermos SC, Sparrow FT (1971) Optimal resource allocation and toll patterns in user-optimized transportation network. Journal of Transportation Economics and Policy 5:198–200

    Google Scholar 

  • de Palma A, Lindsey R (2000) Private toll roads: competition under various ownership regimes. Ann Reg Sci 34:13–35

    Article  Google Scholar 

  • de Palma A, Lindsey R (2002) Private roads, competition, and incentives to adopt time-based congestion tolling. J Urban Econ 52:217–241

    Article  Google Scholar 

  • Duffie D (1992) Dynamic asset pricing theory. Princeton University Press, Princeton

    Google Scholar 

  • Ferris MC, Pang J-S (1997) Engineering and economic applications of complementarity problems. SIAM Rev 39:669–713

    Article  Google Scholar 

  • Karatzas I (1983) A class of singular stochastic control problems. Adv Appl Probab 15:225–254

    Article  Google Scholar 

  • Kumar S, Muthuraman K (2004) A numerical method for solving singular stochastic control problems. Oper Res 52(4):563–582

    Article  Google Scholar 

  • Kushner HJ, Martins LF (1991) Numerical methods for stochastic singular control problems. SIAM J Control Optim 29:1443–1475

    Article  Google Scholar 

  • Kushner HJ, Dupuis PG (1992) Numerical methods for stochastic control problems in continuous time. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Nagae T, Akamatsu T (2004) A stochastic control model of infrastructure project decisions represented as a graph structure. Journal of Infrastructure Planning and Management 772(IV-65):185–202 (in Japanese)

    Google Scholar 

  • Øksendal B (1998) Stochastic differential equations: an introduction with applications. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Smith MJ (1979) The marginal cost taxation of a transportation network. Transp Res B 13:237–242

    Article  Google Scholar 

  • Talluri Kalyan T, Van Ryzin Garrett J (2004) The theory and practice of revenue management. Kluwer

  • Vickrey WS (1969) Congestion theory and transport investment. Am Econ Rev 59:251–260

    Google Scholar 

  • Yang H, Huang H-J (1997) Analysis of the time-varying pricing of a bottleneck with elastic demand using optimal control theory. Transp Res B 31:425–440

    Article  Google Scholar 

  • Yang H, Meng Q (2000) Highway pricing and capacity choice in a road network under a build–operate–transfer scheme. Transp Res A 34:207–222

    Google Scholar 

  • Yang H (1999) System optimum, stochastic user equilibrium, and optimal link tolls. Transp Sci 33:354–360

    Article  Google Scholar 

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Correspondence to Takeshi Nagae.

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Nagae, T., Akamatsu, T. Dynamic Revenue Management of a Toll Road Project under Transportation Demand Uncertainty. Netw Spat Econ 6, 345–357 (2006). https://doi.org/10.1007/s11067-9288-5

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