An extended \(K\)th-best approach for linear bilevel programming

DOI10.1016/j.amc.2004.06.047zbMath1072.65085OpenAlexW2015124671MaRDI QIDQ556123

Chenggen Shi, Jie Lu, Guang-Quan Zhang

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.06.047

zbMATH Keywords

optimizationvon Stackelberg gamelinear bilevel programming\(K\)th-best approach

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Linear programming (90C05)

Related Items (14)

Multilevel decision-making: a survey ⋮ Bi-objective bilevel programming problem: a fuzzy approach ⋮ The \(K\)th-best approach for linear bilevel multifollower programming with partial shared variables among followers ⋮ An extended branch and bound algorithm for linear bilevel programming ⋮ Solving quadratic convex bilevel programming problems using a smoothing method ⋮ Model and extended Kuhn-Tucker approach for bilevel multi-follower decision making in a referential-uncooperative situation ⋮ A note on the definition of a linear bilevel programming solution ⋮ An approach based on reliability-based possibility degree of interval for solving general interval bilevel linear programming problem ⋮ A method for solving bilevel linear programming problems ⋮ Efficiently solving linear bilevel programming problems using off-the-shelf optimization software ⋮ A solution to bi/tri-level programming problems using particle swarm optimization ⋮ A FUZZY MULTI-OBJECTIVE BILEVEL DECISION SUPPORT SYSTEM ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography ⋮ The \(K\)th-best approach for linear bilevel multi-follower programming

Cites Work

• Practical bilevel optimization. Algorithms and applications
• A penalty function approach for solving bi-level linear programs
• An extended Kuhn-Tucker approach for linear bilevel programming
• On the definition of linear bilevel programming solution
• An investigation of the linear three level programming problem
• New Branch-and-Bound Rules for Linear Bilevel Programming
• Two-Level Linear Programming

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