The study of traffic equilibrium problems with capacity constraints of arcs

DOI10.1016/j.nonrwa.2009.07.002zbMath1198.90085OpenAlexW1965555004MaRDI QIDQ984508

Zhi Lin

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.07.002

zbMATH Keywords

essential componentcapacity of arcsaturated pathweak vector equilibrium flow

Mathematics Subject Classification ID

Traffic problems in operations research (90B20)

Related Items (9)

Vector network equilibrium problems with capacity constraints of arcs and nonlinear scalarization methods ⋮ On existence of vector equilibrium flows with capacity constraints of arcs ⋮ Optimality conditions for generalized Ky Fan quasi-inequalities with applications ⋮ Image space analysis for set optimization problems with applications ⋮ Algorithms for the Pareto solution of the multicriteria traffic equilibrium problem with capacity constraints of arcs ⋮ Traffic network equilibrium problems with capacity constraints of arcs and linear scalarization methods ⋮ On the stability of approximate solutions to set-valued equilibrium problems ⋮ Equilibrium in multi-criteria supply and demand networks with capacity constraints ⋮ Existence and generic stability of solutions for multiclass multicriteria traffic equilibrium problems with capacity constraints of arcs

Cites Work

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• Essential components of the set of weakly Pareto-Nash equilibrium points for multiobjective generalized games in two different topological spaces
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• A remark on a standard and linear vector network equilibrium problem with capacity constraints
• Some existence results for vector quasivariational inequalities involving multifunctions and applications to traffic equilibrium problems
• The fixed point theory of multi-valued mappings in topological vector spaces

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