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

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...

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Veröffentlicht in:Journal of Applied Mathematics 2012-01, Vol.2012 (2012), p.1329-1340-482
Hauptverfasser: Tian, X. Q., Xu, Y. D.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1110-757X
1687-0042
DOI:10.1155/2012/612142