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Cordon Pricing Consistent with the Physics of Overcrowding

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Transportation and Traffic Theory 2009: Golden Jubilee

Abstract

This paper describes the modeling of recurring congestion in a network. It is shown that the standard economic models of marginal cost cannot describe precisely traffic congestion in networks during time-dependent conditions. Following a macroscopic traffic approach, we describe the equilibrium solution for a congested network in the no-toll case. A dynamic model of cordon-based congestion pricing (such as for the morning commute) for networks is developed consistent with the physics of traffic. The paper combines Vickrey’s theory with a macroscopic traffic model, which is readily observable with existing monitoring technologies. The paper also examines some policy implications of the cordon-based pricing to treat equity and reliability issues, i.e. in what mobility level a city should choose to operate. An application of the model in a downtown area shows that these schemes can improve mobility and relieve congestion in cities.

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References

  • Anderson, D. and Mohring, H. (1997). Congestion costs and congestion pricing. The Full Costs and Benefits of Transportation: Contributions to Theory, Method and Measurement . Springer.

    Google Scholar 

  • Arnott, R., de Palma, A. and Lindsey, R. (1990a). Departure time and route choice for the morning commute. Transportation Research Part B, 24, 209-228.

    Google Scholar 

  • Arnott, R., de Palma, A. and Lindsey, R. (1990b). Economics of a bottleneck. Journal of Urban Economics, 27, 111-130.

    Google Scholar 

  • Arnott, R., de Palma, A. and Lindsey, R. (1993). A structural model of peak-period congestion: a traffic bottleneck with elastic demand. American Economic Review, 83, 161-179.

    Google Scholar 

  • Cassidy, M.J. and Bertini, R.L. (1999). Some traffic features at freeway bottlenecks. Transportation Research Part B , 33(1), 25-42.

    Article  Google Scholar 

  • Crozet, Y. and Marlot, G. (2001). Congestion and road pricing: where is the 'bug'? The 9th World Conference on Transport Research , Korea.

    Google Scholar 

  • Daganzo, C.F. (1985). The uniqueness of a time-dependent equilibrium distribution of arrivals at a single bottleneck, Transportation Science 19 (1), 29-37.

    Article  Google Scholar 

  • Daganzo, C.F. (2007). Urban gridlock: macroscopic modeling and mitigation Approaches. Transportation Research Part B, 41, 49-62.

    Article  Google Scholar 

  • Geroliminis, N. (2007). Increasing Mobility in Cities by Controlling Overcrowding , Ph.D. thesis, University of California, Berkeley.

    Google Scholar 

  • Geroliminis, N. and Daganzo, C.F., (2007). Macroscopic modeling of traffic in cities. The 86 th Transportation Reserarch Board Annual Meeting , Paper no. 07-0413, Washington DC.

    Google Scholar 

  • Geroliminis, N. and Daganzo, C.F. (2008). Existence of urban-scale macroscopic fundamental diagrams: some experimental findings. Transportation Research Part B, 42 (9), 759-770.

    Article  Google Scholar 

  • Hansen, M. and Huang, Y. (1997). Road supply and traffic in urban areas: a panel study, Transportation Research Part A , 31(3), 205-218.

    Google Scholar 

  • Hau, T.D. (1998). Congestion pricing and road investment. Road Pricing, Traffic Congestion and the Environment: Issues of Efficiency and Social Feasibility . Cheltenham, Edward Elgar.

    Google Scholar 

  • Lago, A. and Daganzo, C.F. (2007). Spillovers, merging traffic and the morning commute. Transportation Research Part B , 41(6), 670-683.

    Article  Google Scholar 

  • Levinson, D. (2002). Financing Transportation Networks. Edward Elgar Publishers, Northampton.

    Google Scholar 

  • Levinson, D. and Odlyzko, A. (2008). Too expensive to meter: the influence of transaction costs in transportation and communication. Philosophical Transactions of the Royal Society A: Mathematical Physical and Engineering Sciences, 366(1872), 2033-2046.

    Article  Google Scholar 

  • Liu, L.N. and Boyce, D. (2002). Variational inequality formulation of the system-optimal travel choice problem and efficient congestion tolls for a general transportation network with multiple time periods. Regional Science and Urban Economics , 32(5), 627-650.

    Article  Google Scholar 

  • Marchand, M. (1968). A Note on Optimal Tolls in an Imperfect Environment. Econometrica, 36, 575-581.

    Article  Google Scholar 

  • Maruyama T. and Sumalee A. (2007). Efficiency and equity comparison of cordon- and cordon-based road pricing schemes using a trip-chain equilibrium model. Transportation Research Part A, 41, 655-671.

    Google Scholar 

  • Newell, G. (1987). The morning commute for non-identical travelers. Transportation Science , 21(2), 74-88.

    Article  Google Scholar 

  • Pigou, A.C. (1920). Wealth and Welfare . 1st edition.

    Google Scholar 

  • Small, K. (1982). The scheduling of consumer activities: work trips. The American Economic Review, 72(3), 467-479.

    Google Scholar 

  • Small, K. and Chu, X. (2003). Hypercongestion. Journal of Transport Economics and Policy, 37(3), 319-352.

    Google Scholar 

  • Smith, M.J. (1984). The existence of a time-dependent equilibrium distribution of arrivals at a single bottleneck. Transportation Science, 18(4), 385-394.

    Article  Google Scholar 

  • Vickrey, W. (1963). Pricing and resource allocation in transportation and public utilities. The American Economic Review , 53(2), 452-465.

    Google Scholar 

  • Vickrey, W. (1969). Congestion theory and transport investment, American Economic Review, 59, 251-260.

    Google Scholar 

  • Wardrop, J. (1952). Some theoretical aspects of road traffic research. Proceedings of the Institute of Civil Engineers, 1(2), 325-362.

    Google Scholar 

  • Yang H. and Huang H.J. (2005). Mathematical and Economic Theory of Road Pricing . Elsevier Science Inc, New York.

    Google Scholar 

  • Yang, H. and Huang, H.J. (1998). Principle of marginal-cost pricing: how does it work in a general network. Transportation Research Part A, 32, 45-54.

    Google Scholar 

  • Yang, H. and Meng, Q. (1998). Departure time, route choice and congestion toll in a queuing network with elastic demand. Transportation Research Part B , 32(4), 247-260.

    Article  Google Scholar 

  • Yang, H. and Lam, W.H.K. (1996). Optimal road tolls under conditions of queuing and congestion. Transportation Research Part A, 30, 319-332.

    Google Scholar 

  • Zhang, L. and Levinson D. (2004). Some properties of flows at freeway bottlenecks. Transportation Research Record, 1883, 122-131.

    Article  Google Scholar 

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Geroliminis, N., Levinson, D.M. (2009). Cordon Pricing Consistent with the Physics of Overcrowding. In: Lam, W., Wong, S., Lo, H. (eds) Transportation and Traffic Theory 2009: Golden Jubilee. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-0820-9_11

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