Model, solution concept, and \(K\)th-best algorithm for linear trilevel programming

DOI10.1016/j.ins.2009.10.013zbMath1185.90127OpenAlexW1994117203MaRDI QIDQ2269808

Yi Zeng, Javier Montero, Jie Lu, Guang-Quan Zhang

Publication date: 11 March 2010

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2009.10.013

zbMATH Keywords

optimizationdecision support systemsbilevel programminghierarchical decision-makingtrilevel programming\(K\)th-best algorithm

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Management decision making, including multiple objectives (90B50)

Related Items (8)

Multilevel decision-making: a survey ⋮ An investigation of the optimistic solution to the linear trilevel programming problem ⋮ Estimation of distribution algorithm for a class of nonlinear bilevel programming problems ⋮ A relaxation solving approach for the linear trilevel programming problem ⋮ A solution to bi/tri-level programming problems using particle swarm optimization ⋮ A modification of the trilevel \(K\)th-best algorithm ⋮ Necessary optimality condition for trilevel optimization problem ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

Cites Work

• Unnamed Item
• Hierarchical optimization: A satisfactory solution
• Stackelberg-Nash equilibrium for multilevel programming with multiple followers using genetic algorithms
• Hierarchical optimization: An introduction
• The computational complexity of multi-level linear programs
• Practical bilevel optimization. Algorithms and applications
• A penalty function approach for solving bi-level linear programs
• Penalty function approach to linear trilevel programming
• A partial cooperation model for non-unique linear two-level decision problems
• Foundations of bilevel programming
• KKT transformation approach for multi-objective multi-level linear programming problems
• Fuzzy approach for multi-level programming problems
• Interactive fuzzy programming for multi-level linear programming problems with fuzzy parameters
• Bilevel linear programming
• Interactive balance space approach for solving multi-level multi-objective programming problems
• A bi-level programming for logistics network design with system-optimized flows
• On the relevance of some families of fuzzy sets
• Model and extended Kuhn-Tucker approach for bilevel multi-follower decision making in a referential-uncooperative situation
• Production planning problem with sequence dependent setups as a bilevel programming problem
• A new approach for solving linear bilevel problems using genetic algorithms
• On bilevel multi-follower decision making: general framework and solutions
• Capacitated plant selection in a decentralized manufacturing environment: a bilevel optimization approach
• A Bilevel Model of Taxation and Its Application to Optimal Highway Pricing
• Optimality conditions for the bilevel programming problem
• A Branch and Bound Algorithm for the Bilevel Programming Problem
• AN EXTENDED BRANCH AND BOUND ALGORITHM FOR BILEVEL MULTI-FOLLOWER DECISION MAKING IN A REFERENTIAL-UNCOOPERATIVE SITUATION
• A Representation and Economic Interpretation of a Two-Level Programming Problem
• New Branch-and-Bound Rules for Linear Bilevel Programming
• Interactive bilevel multi-objective decision making
• Two-Level Linear Programming

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