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Accelerating Discoveries in Traffic Science

Accelerating Discoveries in Traffic Science

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PUBLISHED
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DOI
https://doi.org/10.7307/ptt.v25i2.1288
ISSUE
2013 (Vol 25), Issue 2
LICENSE
Copyright (c) 2024 Xin Wang, Hai-Jun Huang
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This work is licensed under a
Creative Commons Attribution-NonCommercial-
NoDerivatives 4.0 International License.

Bi-Criteria System Optimum Traffic Assignment in Networks With Continuous Value of Time

Authors:

Xin Wang

Hai-Jun Huang

Keywords:elastic demand, value of time, bi-criteria, user equilibrium, Pareto optimum

Abstract

For an elastic demand transportation network with continuously distributed value of time, the system disutility can be measured either in time units or in cost units. The user equilibrium model and the system optimization model are each formulated in two different criteria. The conditions required for making the system optimum link flow pattern equivalent to the user equilibrium link flow pattern are derived. Furthermore, a bi-objective model has been developed which minimizes simultaneously the system travel time and the system travel cost. The existence of a pricing scheme with anonymous link tolls which can decentralize a Pareto system optimum into the user equilibrium has been investigated.

References

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    Yang, H., Huang, H. J.: Principle of marginal-cost pricing: how does it work in a general road network? Transportation Research Part A, Vol.32, No.1, 1998, pp. 45-54

    Yang, H.: System optimum, stochastic user equilibrium and optimal link tolls, Transportation Science, Vol.33, 1999, pp. 354-360

    Leurent, F.: Cost versus time equilibrium over a network, European Journal of Operational Research, Vol.71, 1993, pp. 205-221

    Mayet, J., Hansen, M.: Congestion pricing with continuously distributed values of time, Journal of Transport Economics and Policy, Vol.34, 2000, pp. 359-370

    Nagurney, A.: A multi-class, multi-criteria traffic network equilibrium model, Mathematical and Computer Modeling, Vol.32, 2000, pp. 393-411

    Nagurney, A., Dong, J.: A multiclass, multicriteria traffic network equilibrium model with elastic demand, Transportation Research, Vol.36, 2002, pp. 445-469

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How to Cite
Wang, X. (et al.) 1900. Bi-Criteria System Optimum Traffic Assignment in Networks With Continuous Value of Time. Traffic&Transportation Journal. 25, 2 (Jan. 1900), 119-125. DOI: https://doi.org/10.7307/ptt.v25i2.1288.

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