Penalty method-based equilibrium point approach for solving the linear bilevel multiobjective programming problem

DOI10.3934/dcdss.2020102zbMath1453.90148OpenAlexW2972189326WikidataQ127228844 ScholiaQ127228844MaRDI QIDQ2182815

Tiesong Hu, Yibing Lv, Jian-lin Jiang

Publication date: 26 May 2020

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020102

zbMATH Keywords

penalty functionequilibrium pointlinear bilevel multiobjective programmingPareto optimal solution

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Linear programming (90C05)

Related Items (1)

Preface: Advances in theory and real world applications of control and dynamic optimization

Cites Work

• Solving linear bilevel multiobjective programming problem via exact penalty function approach
• Three modeling paradigms in mathematical programming
• Is bilevel programming a special case of a mathematical program with complementarity constraints?
• Multiobjective bilevel optimization
• Linear bilevel programs with multiple objectives at the upper level
• An exact penalty on bilevel programs with linear vector optimization lower level
• Multiobjective programming and penalty functions
• Practical bilevel optimization. Algorithms and applications
• Bilevel and multilevel programming: A bibliography review
• Foundations of bilevel programming
• A study of local solutions in linear bilevel programming
• New optimality conditions for the semivectorial bilevel optimization problem
• Stackelberg solutions to multiobjective two-level linear programming problems
• Linear bilevel multiobjective optimization problem: penalty approach
• Second order sufficient conditions for a class of bilevel programs with lower level second-order cone programming problem
• An overview of bilevel optimization
• Necessary Optimality Conditions for Multiobjective Bilevel Programs
• An exact penalty function approach for solving the linear bilevel multiobjective programming problem

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