An adaptive genetic algorithm for solving bilevel linear programming problem

DOI10.1007/s10483-007-1207-1zbMath1231.90352OpenAlexW2045328378MaRDI QIDQ940491

Guang-Min Wang, Xian-Jia Wang, Shi-Hui Jia, Zhong-Ping Wan

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-1207-1

zbMATH Keywords

genetic algorithmfitness valuebilevel linear programmingadaptive operator probabilitiescrossover and mutation

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30)

Related Items (4)

Metaheuristics for bilevel optimization: a comprehensive review ⋮ The backpropagation artificial neural network based on elite particle swam optimization algorithm for stochastic linear bilevel programming problem ⋮ A cooperative coevolution PSO technique for complex bilevel programming problems and application to watershed water trading decision making problems ⋮ A bi-level programming framework for stochastic replenishment policy in a supply chain: approach and computational test

Uses Software

• Genocop

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some properties of the bilevel programming problem
• Efficient solutions for the linear bilevel programming problem
• A modified genetic algorithm for optimal control problems
• Bilevel and multilevel programming: A bibliography review
• A neural network approach to multiobjective and multilevel programming problems
• Linear bilevel programming solution by genetic algorithm
• Bilevel linear programming
• A new approach for solving linear bilevel problems using genetic algorithms
• An overview of bilevel optimization
• An Efficient Point Algorithm for a Linear Two-Stage Optimization Problem
• Computational Difficulties of Bilevel Linear Programming
• Genetic algorithm for solving quadratic bilevel programming problem
• Annotated Bibliography on Bilevel Programming and Mathematical Programs with Equilibrium Constraints
• Genetic algorithm based approach to bi-level linear programming
• Quadratic as parametric linear programming
• A solution method for the linear static Stackelberg problem using penalty functions

This page was built for publication: An adaptive genetic algorithm for solving bilevel linear programming problem