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Departure time, route choice and congestion toll in a queuing network with elastic demand

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  • Yang, Hai
  • Meng, Qiang

Abstract

This paper deals with the modeling of peak-period congestion and optimal pricing in a queuing network with elastic demand. The approach employed in our study is a combined application of the space-time expanded network (STEN) representation of time-varying traffic flow and the conventional network equilibrium modeling techniques. Given the elastic demand function for trips between each origin-destination pair and the schedule delay cost associated with each destination, the departure time and route choice of commuters and the optimal variable tolls of bottlenecks will be determined jointly by solving a system optimization problem over the STEN. Our STEN approach can deal with general queuing network with elastic demand, and allow for treatment of commuter heterogeneity in their work start time and schedule delay cost, and hence make a significant advance over the previous simple bottleneck models of peak-period congestion.

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  • Yang, Hai & Meng, Qiang, 1998. "Departure time, route choice and congestion toll in a queuing network with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 32(4), pages 247-260, May.
  • Handle: RePEc:eee:transb:v:32:y:1998:i:4:p:247-260
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    References listed on IDEAS

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    1. Yang, Hai & Hai-Jun, Huang, 1997. "Analysis of the time-varying pricing of a bottleneck with elastic demand using optimal control theory," Transportation Research Part B: Methodological, Elsevier, vol. 31(6), pages 425-440, November.
    2. Mun, Se-il, 1994. "Traffic jams and the congestion toll," Transportation Research Part B: Methodological, Elsevier, vol. 28(5), pages 365-375, October.
    3. Omar Drissi-Kaïtouni & Abdelhamid Hameda-Benchekroun, 1992. "A Dynamic Traffic Assignment Model and a Solution Algorithm," Transportation Science, INFORMS, vol. 26(2), pages 119-128, May.
    4. Arnott, R. & De Palma, A. & Lindseyt, R., 1995. "Recent Developments in the Bottleneck Model," Papers 9523, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
    5. Daniel J. Zawack & Gerald L. Thompson, 1987. "A Dynamic Space-Time Network Flow Model for City Traffic Congestion," Transportation Science, INFORMS, vol. 21(3), pages 153-162, August.
    6. 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.
    7. Masao Kuwahara, 1990. "Equilibrium Queueing Patterns at a Two-Tandem Bottleneck during the Morning Peak," Transportation Science, INFORMS, vol. 24(3), pages 217-229, August.
    8. 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.
    9. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-479, June.
    10. 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.
    11. Ferrari, Paolo, 1995. "Road pricing and network equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 29(5), pages 357-372, October.
    12. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1993. "A Structural Model of Peak-Period Congestion: A Traffic Bottleneck with Elastic Demand," American Economic Review, American Economic Association, vol. 83(1), pages 161-179, March.
    13. Malachy Carey & Ashok Srinivasan, 1993. "Externalities, Average and Marginal Costs, and Tolls on Congested Networks with Time-Varying Flows," Operations Research, INFORMS, vol. 41(1), pages 217-231, February.
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