Multi-parametric global optimization approach for tri-level mixed-integer linear optimization problems
DOI10.1007/s10898-018-0668-4zbMath1432.90088OpenAlexW2807131660MaRDI QIDQ2423815
Styliani Avraamidou, Efstratios N. Pistikopoulos
Publication date: 20 June 2019
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-018-0668-4
hierarchical optimizationmulti-parametric programmingmulti-level mixed-integer optimizationtri-level optimization
Mixed integer programming (90C11) Nonconvex programming, global optimization (90C26) Sensitivity, stability, parametric optimization (90C31)
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- A trilevel programming approach for electric grid defense planning
- An exact algorithm for the bilevel mixed integer linear programming problem under three simplifying assumptions
- Hierarchical optimization: A satisfactory solution
- Fuzzy goal programming approach to multilevel programming problems
- A multi-parametric programming approach for multilevel hierarchical and decentralised optimisation problems
- The hybrid algorithm for solving the three-level linear programming problem
- Interactive fuzzy programming for multi-level 0-1 programming problems through genetic algorithms
- The computational complexity of multi-level linear programs
- Penalty function approach to linear trilevel programming
- On unbounded and binary parameters in multi-parametric programming: applications to mixed-integer bilevel optimization and duality theory
- Discrete bilevel programming: application to a natural gas cash-out problem
- Interactive fuzzy programming for multilevel linear programming problems
- Fuzzy mathematical programming applied to multi-level programming problems.
- Fuzzy approach for multi-level programming problems
- A branch and bound method for the solution of multiparametric mixed integer linear programming problems
- Resolution method for mixed integer bi-level linear problems based on decomposition technique
- A solution to bi/tri-level programming problems using particle swarm optimization
- Lexicographic perturbation for multiparametric linear programming with applications to control
- Parametric global optimisation for bilevel programming
- An investigation of the linear three level programming problem
- A Mathematical Programming Model of Decentralized Multi-Level Systems
- New Branch-and-Bound Rules for Linear Bilevel Programming
- Necessary optimality conditions in pessimistic bilevel programming
- The Mixed Integer Linear Bilevel Programming Problem
- Multiparametric Linear Programming
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