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.
Yang, H., Huang, H. J.: Mathematical and Economic Theory of Road Pricing, Elsevier Ltd, Oxford, UK, 2005
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
Dial, R. B.: Network-optimized road pricing Part 1: a parable and a model, Operational Research, Vol.47, 1999, pp. 54-64
Dial, R. B.: Network-optimized road pricing Part 2: algorithms and examples, Operational Research, Vol.47, 1999, pp. 327-336
Yang, H., Huang, H. J.: The multi-class, multi-criteria traffic network equilibrium and system optimum problem, Transportation Research Part B, Vol.38, 2004, pp. 1-15
Zhang, X. N., Yang, H., Huang, H. J.: Multiclass multicriteria mixed equilibrium on networks and uniform link tolls for system optimum, European Journal of Operational Research, Vol.189, 2008, pp. 146-158
Yu, X. J., Huang, H. J.: Efficiency loss of mixed equilibrium behaviors with polynomial cost functions, Promet-Traffic & Transportation, Vol.22, No.5, 2010, pp. 325-331
Guo, X. L., Yang, H.: User heterogeneity and bi-criteria system optimum, Transportation Research Part B, Vol.43, 1009, pp. 379-390
Clark, A., Sumalee, A., Shepherd, S., Connors R.: On the existence and uniqueness of first best tolls in networks with multiple user classes and elastic demand, Transportmetrica, Vol.5, 2009, pp. 141-157
Wang, X., Huang, H.J.: Bi-criteria system optimum traffic assignment in networks with multi-user class elastic demands, Systems Engineering - Theory & Practice, Vol.31, 2011, pp. 94-102
Guest Editor: Eleonora Papadimitriou, PhD
Editors: Dario Babić, PhD; Marko Matulin, PhD; Marko Ševrović, PhD.
The mission of our journal is to provide high quality communication of research results, which is crucial for the effectiveness of scientific research, the promotion of scientific information, new ideas, and original research in the field of traffic and transportation engineering.
1848-4069
0353-5320
Proud publisher
Accelerating Discoveries in Traffic Science |
2024 © Promet - Traffic&Transportation journal
