Benders decomposition for variational inequalities

DOI10.1007/BF01582257zbMath0722.90024OpenAlexW2073315602MaRDI QIDQ757226

Siriphong Lawphongpanich, Donald W. Hearn

Publication date: 1990

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01582257

zbMATH Keywords

variational inequalitylinear constraintstraffic assignment

Mathematics Subject Classification ID

Programming involving graphs or networks (90C35) Nonlinear programming (90C30) Variational inequalities (49J40) Transportation, logistics and supply chain management (90B06) Deterministic network models in operations research (90B10) Decomposition methods (49M27)

Related Items

Asymmetric variational inequality problems over product sets: Applications and iterative methods ⋮ Solving nonlinear multicommodity flow problems by the analytic center cutting plane method ⋮ Decomposition method for a class of monotone variational inequality problems ⋮ Benders decomposition for a class of variational inequalities ⋮ Right-hand side decomposition for variational inequalities ⋮ Dantzig-Wolfe decomposition of variational inequalities ⋮ Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities ⋮ Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications

Uses Software

• QPSOL

Cites Work

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• Generalized variational inequalities
• Generalized Benders decomposition
• Sensitivity analysis for the asymmetric network equilibrium problem
• Equilibria on a Congested Transportation Network