Algorithms for the Pareto solution of the multicriteria traffic equilibrium problem with capacity constraints of arcs

DOI10.3934/jimo.2022104OpenAlexW4285135847MaRDI QIDQ2691347

Zhi Lin, Zai-Yun Peng

Publication date: 29 March 2023

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2022104

zbMATH Keywords

algorithmBeckmann's formulaPareto traffic equilibrium flowthe multicriteria traffic equilibrium problem with capacity constraints of arcs

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53) Traffic problems in operations research (90B20)

Cites Work

• A note on two problems in connexion with graphs
• Existence conditions for solutions of bilevel vector equilibrium problems with application to traffic network problems with equilibrium constraints
• The study of traffic equilibrium problems with capacity constraints of arcs
• Levitin-Polyak well-posedness for strong bilevel vector equilibrium problems and applications to traffic network problems with equilibrium constraints
• On the stability of the solution mapping for parametric traffic network problems
• Painlevé-Kuratowski convergence of the solution sets for controlled systems of fuzzy vector quasi-optimization problems with application to controlling traffic networks under uncertainty
• Error bound analysis for vector equilibrium problems with partial order provided by a polyhedral cone
• Equilibrium in multi-criteria supply and demand networks with capacity constraints
• On existence of vector equilibrium flows with capacity constraints of arcs
• Vector network equilibrium problems with capacity constraints of arcs and nonlinear scalarization methods
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