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Everything about Bilevel optimization
Quadratic fractional programming problem
Bilevel optimization is a special kind of optimization where one problem is embedded (nested) within another. The outer optimization task is commonly referred to as the upper-level optimization task, and the inner optimization task is commonly referred to as the lower-level optimization task. These problems involve two kinds of variables, referred to as the upper-level variables and the lower-level variables. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Bilevel optimizationA 5-minute orientation
- Skim a recent paper: Metaheuristics for bilevel optimization: A comprehensive reviewInfluential work since 2022
- Pick up a classic book: Bi-level strategies in semi-infinite programmingThe most-reprinted book on the subject
- Read the landmark paper: An overview of bilevel optimizationCited 1,211 times
- Go sideways: Duality (optimization)A closely related topic
- Go sideways: Convex optimizationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
An overview of bilevel optimization
Multiobjective bilevel optimization
Global Optimization of Nonlinear Bilevel Programming Problems
A survey on bilevel optimization under uncertainty
Pessimistic Bilevel Optimization
Multicriteria Approach to Bilevel Optimization
Bilevel Optimization of Blended Composite Wing Panels
On generalized semi-infinite optimization and bilevel optimization
🆕 Influential since 2022
Metaheuristics for bilevel optimization: A comprehensive review
Solving Bilevel Optimization Problems Using Kriging Approximations
Bilevel Optimization via Collaborations Among Lower-Level Optimization Tasks
Discretization-Based Feature Selection as a Bilevel Optimization Problem
First-Order Penalty Methods for Bilevel Optimization
📚 Books worth reading
Bi-level strategies in semi-infinite programmingOliver Stein · 2003
Metaheuristics for Bi-level OptimizationEl-Ghazali Talbi · 2013
Bilevel Programming ProblemsStephan Dempe, Vyacheslav Kalashnikov · 2015
Emerging Technologies for Information Systems, Computing, and ManagementW. Eric Wong · 2013
Bilevel OptimizationStephan Dempe, Alain Zemkoho · 2020
Practical Bilevel OptimizationJonathan F. Bard · 1998
Foundations of bilevel programmingStephan Dempe · 2006
Practical Bilevel OptimizationJonathan F. Bard · 1998
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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