Abstract
A traffic network equilibrium model is developed in which the users or travelers on the network are assumed to be multicriteria decision-makers with an explicit environmental criterion. The members of a class of traveler perceive their generalized cost on a route as a weighting of travel time, travel cost, and the emissions generated. The model allows the weights to be not only class-dependent but also link-dependent. The multiclass, multicriteria network equilibrium conditions are shown to satisfy a finite-dimensional variational inequality problem. Qualitative properties of the solution are obtained. A special case of the model is then used to obtain sharper results and to illustrate the relationship between the weights and the attainment of a desired environmental quality standard. An algorithm is proposed for the computation of the equilibrium pattern, along with convergence results, and then applied to solve a numerical example. The multiclass, multicriteria network equilibrium model is the first to incorporate an environmental criterion.
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Nagurney, A., Dong, J., Mokhtarian, P.L. (2002). Traffic Network Equilibrium and the Environment. In: Kontoghiorghes, E.J., Rustem, B., Siokos, S. (eds) Computational Methods in Decision-Making, Economics and Finance. Applied Optimization, vol 74. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3613-7_25
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DOI: https://doi.org/10.1007/978-1-4757-3613-7_25
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