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, issue 1

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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https://doi.org/10.1155/2012/612142

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:612142

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