A DC Algorithm for Solving Quadratic-linear Bilevel Optimization Problems

DOI10.1007/978-3-319-18161-5_11zbMath1370.90186OpenAlexW1196541152MaRDI QIDQ5356976

Mohammed Said Radjef, Aicha Anzi

Publication date: 12 September 2017

Published in: Advances in Intelligent Systems and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18161-5_11

zbMATH Keywords

DCAbilevel programmingDC programmingexact penaltyKKT optimality conditions

Mathematics Subject Classification ID

Convex programming (90C25) Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Quadratic programming (90C20)

Cites Work

• Exact penalty and error bounds in DC programming
• DC programming techniques for solving a class of nonlinear bilevel programs
• Natural gas cash-out problem: bilevel stochastic optimization approach
• DC programming and DCA for globally solving the value-at-risk
• Convex two-level optimization
• Hierarchical optimization: An introduction
• Practical bilevel optimization. Algorithms and applications
• Solving a class of linearly constrained indefinite quadratic problems by DC algorithms
• Convex analysis approach to d. c. programming: Theory, algorithms and applications
• A bundle algorithm applied to bilevel programming problems with non-unique lower level solutions
• Exact penalty in d. c. programming
• A note on a penalty function approach for solving bilevel linear programs
• The DC (Difference of convex functions) programming and DCA revisited with DC models of real world nonconvex optimization problems
• Determining optimal pollution control policies: An application of bilevel programming
• Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints
• A globally convergent algorithm for a class of bilevel nonlinear programming problem
• An overview of bilevel optimization
• Computational experience using an edge search algorithm for linear reverse convex programs
• Capacitated plant selection in a decentralized manufacturing environment: a bilevel optimization approach
• A continuous approch for globally solving linearly constrained quadratic
• A Representation and Economic Interpretation of a Two-Level Programming Problem
• Annotated Bibliography on Bilevel Programming and Mathematical Programs with Equilibrium Constraints
• Convex Analysis
• A solution method for the linear static Stackelberg problem using penalty functions

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