Linear bilevel programs with multiple objectives at the upper level

DOI10.1016/j.cam.2008.12.010zbMath1190.90137OpenAlexW2071119155MaRDI QIDQ970382

Carmen Galé, Herminia I. Calvete

Publication date: 17 May 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.12.010

zbMATH Keywords

multiobjective linear programmingefficientnon-dominated

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Nonlinear programming (90C30)

Related Items (12)

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Cites Work

• Unnamed Item
• Unnamed Item
• Some properties of the bilevel programming problem
• Existence of efficient solutions for vector maximization problems
• Bilevel and multilevel programming: A bibliography review
• Multiple criteria optimization: State of the art annotated bibliographic surveys
• Foundations of bilevel programming
• Multiple criteria decision analysis. State of the art surveys
• Semivectorial bilevel optimization problem: penalty approach
• Linear bilevel multi-follower programming with independent followers
• A new approach for solving linear bilevel problems using genetic algorithms
• New Branch-and-Bound Rules for Linear Bilevel Programming
• Annotated Bibliography on Bilevel Programming and Mathematical Programs with Equilibrium Constraints
• On the Existence of Pareto Efficient Points
• Multicriteria Optimization

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