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Stochastic congestion and pricing model with endogenous departure time selection and heterogeneous travelers

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Author Info
Wuping Xin
David Levinson () (Nexus (Networks, Economics, and Urban Systems) Research Group, Department of Civil Engineering, University of Minnesota)

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Abstract

This paper proposes a stochastic congestion and pricing model that combines a bottleneck model with stochastic queuing to study roadway congestion and pricing. Employing this model, two pricing schemes are developed: one is omniscient pricing for which the transportation administrative agency is assumed to be aware of each and every traveler's cost structure (i.e., their detailed valuation of journey cost as well as early and late penalties), and the other is observable pricing, for which only queuing delay is considered. Travelers are characterized by their late-acceptance level and the effects of various compositions of late-averse, late-tolerant and late-neutral travelers on congestion patterns with and without pricing are discussed.  Numerical simulation indicates that omniscient pricing scheme is most effective in suppressing peak hour congestion and distributing demands over longer time horizon. Also, congestion pricing is found to be more effective when travelers have diversified cost structures than identical cost structures, and congestion is better reduced with heterogeneous traveler composition than with single composition. This is consistent with earlier studies in the literature. In addition, the simulation results indicate that omniscient pricing in general reduces Expected Total Social Cost<(with or without the return of the congestion fee). However, the ultimate benefits of a certain pricing scheme depend on travelers' cost structure as well as the composition of late-tolerant, late-averse and late-neutral travelers in the entire population; extreme situations such as 100% late-averse or 100% late-tolerant traveler composition deserves extra attention when analyzing different pricing schemes.

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File URL: http://nexus.umn.edu/Papers/StochasticPricing.pdf
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File Function: First version, 2007
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Publisher Info
Paper provided by University of Minnesota: Nexus Research Group in its series Working Papers with number 000029.

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Date of creation: 2006
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Handle: RePEc:nex:wpaper:stochasticpricing

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Postal: Dept. of Civil Engineering, 500 Pillsbury Drive SE, Minneapolis, MN 55455
Phone: +01 (612) 625-6354
Fax: +01 (612) 626-7750
Web page: http://nexus.umn.edu
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Related research
Keywords: Agent-based Model; Game Theory; Congestion; Queueing; Traffic Flow; Congestion Pricing; Road Pricing; Value Pricing;

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Find related papers by JEL classification:
R41 - Urban, Rural, and Regional Economics - - Transportation Systems - - - Transportation: Demand, Supply, and Congestion
R42 - Urban, Rural, and Regional Economics - - Transportation Systems - - - Government and Private Investment Analysis
R48 - Urban, Rural, and Regional Economics - - Transportation Systems - - - Government Pricing; Regulatory Policies
D10 - Microeconomics - - Household Behavior - - - General
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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References listed on IDEAS
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  1. R. Arnott & A. de Palma & R. Lindsey, 1986. "Departure Time and Route Choice," Working Papers 658, Queen's University, Department of Economics.
  2. Arnott, Richard & Kraus, Marvin, 1998. "When are anonymous congestion charges consistent with marginal cost pricing?," Journal of Public Economics, Elsevier, vol. 67(1), pages 45-64, January. [Downloadable!] (restricted)
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  3. 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..
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  4. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1990. "Economics of a bottleneck," Journal of Urban Economics, Elsevier, vol. 27(1), pages 111-130, January. [Downloadable!] (restricted)
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  5. Arnott, R. & de Palma, A. & Lindsey, R., 1990. "Departure time and route choice for the morning commute," Transportation Research Part B: Methodological, Elsevier, vol. 24(3), pages 209-228, June. [Downloadable!] (restricted)
  6. Daniel, Joseph I., 2001. "Distributional Consequences of Airport Congestion Pricing," Journal of Urban Economics, Elsevier, vol. 50(2), pages 230-258, September. [Downloadable!] (restricted)
  7. Daniel, Joseph I, 1995. "Congestion Pricing and Capacity of Large Hub Airports: A Bottleneck Model with Stochastic Queues," Econometrica, Econometric Society, vol. 63(2), pages 327-70, March. [Downloadable!] (restricted)
  8. David Levinson, 2005. "Micro-foundations of Congestion and Pricing: A Game Theory Perspective," Working Papers 200504, University of Minnesota: Nexus Research Group. [Downloadable!]
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  9. Richard Arnott & Andre de Palma & Robin Lindsey, 1993. "The Welfare Effects Of Congestion Tolls With Heterogeneous Commuters," Boston College Working Papers in Economics 231, Boston College Department of Economics.
  10. Ben-Akiva, Moshe & Cyna, Michèle & de Palma, André, 1984. "Dynamic model of peak period congestion," Transportation Research Part B: Methodological, Elsevier, vol. 18(4-5), pages 339-355. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Lei Zhang & David Levinson & Shanjiang Zhu, 2007. "Agent-Based Model of Price Competition and Product Differentiation on Congested Networks," Working Papers 200809, University of Minnesota: Nexus Research Group. [Downloadable!]
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