Traffic Network Equilibrium Problems with Capacity Constraints of Arcs and Linear Scalarization Methods

X. Q. Tian and Y. D. Xu

Journal of Applied Mathematics, 2012, vol. 2012, 1-12

Abstract:

Traffic network equilibrium problems with capacity constraints of arcs are studied. A (weak) vector equilibrium principle with vector-valued cost functions, which are different from the ones in the work of Lin (2010), and three kinds of parametric equilibrium flows are introduced. Some necessary and sufficient conditions for a (weak) vector equilibrium flow to be a parametric equilibrium flow are derived. Relationships between a parametric equilibrium flow and a solution of a scalar variational inequality problem are also discussed. Some examples are given to illustrate our results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:612142

DOI: 10.1155/2012/612142

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