Characterizing an optimal solution to the linear bilevel programming problem

DOI10.1016/0377-2217(94)90155-4zbMath0806.90084OpenAlexW1982335532MaRDI QIDQ1328609

Stephen M. Hart, Yi-Hsin Liu

Publication date: 26 July 1994

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(94)90155-4

zbMATH Keywords

hierarchical planninglinear bilevel programminggeometry of an optimal solution

Mathematics Subject Classification ID

Linear programming (90C05)

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Using neural networks to solve linear bilevel problems with unknown lower level ⋮ A royalty negotiation model for BOT (build-operate-transfer) projects: the operational revenue-based model ⋮ A hybrid of genetic algorithm and particle swarm optimization for solving bi-level linear programming problem -- a case study on supply chain model ⋮ Solving linear fractional bilevel programs. ⋮ Bilevel multiplicative problems: A penalty approach to optimality and a cutting plane based algorithm ⋮ Solving bi-level linear programming problem through hybrid of immune genetic algorithm and particle swarm optimization algorithm ⋮ Application of particle swarm optimization algorithm for solving bi-level linear programming problem ⋮ A method for solving bilevel linear programming problems ⋮ Algorithms for Linear Bilevel Optimization ⋮ BOLIB: Bilevel Optimization LIBrary of Test Problems ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography ⋮ A partial cooperation model for non-unique linear two-level decision problems

Cites Work

• On the structure and properties of a linear multilevel programming problem
• The hybrid algorithm for solving the three-level linear programming problem
• Two-Level Linear Programming

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