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Traffic Network Equilibrium and the Environment

A Multicriteria Decision-Making Perspective
  • Anna Nagurney
  • June Dong
  • Patricia L. Mokhtarian
Part of the Applied Optimization book series (APOP, volume 74)

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.

Keywords

Multicriteria decision-making traffic network equilibrium environmental criteria variational inequalities 

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Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • Anna Nagurney
    • 1
  • June Dong
    • 2
  • Patricia L. Mokhtarian
    • 3
  1. 1.Department of Finance and Operations Management, Isenberg School of ManagementUniversity of MassachusettsAmherstUSA
  2. 2.School of BusinessState University of New York at OswegoOswegoUSA
  3. 3.Department of Civil and Environmental EngineeringUniversity of CaliforniaDavisUSA

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