Vector network equilibrium problems with capacity constraints of arcs

Y.D. Xu, S.J. Li and K.L. Teo

Transportation Research Part E: Logistics and Transportation Review, 2012, vol. 48, issue 3, 567-577

Abstract: In this paper, we study a (weak) vector equilibrium principle with capacity constraints of arcs and common arcs in some different paths. We obtain some necessary and sufficient conditions for a (weak) vector minimum cost flow. By virtue of a (weak) Δ-equilibrium principle, we also derive some necessary and sufficient conditions for a weak vector equilibrium flow.

Keywords: Vector traffic network equilibrium model; Vector equilibrium flow; Δ-Equilibrium flow; Vector minimum cost flow; Variational inequality (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.tre.2011.11.002

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