Foundations of Bilevel Programming

• Main Author: Dempe, Stephan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2002.
• Series: Nonconvex Optimization and Its Applications, 61
• Subjects: Mathematics.; Operations research.; Decision making.; Mathematical optimization.; Calculus of variations.; Calculus of Variations and Optimal Control; Optimization.; Operation Research/Decision Theory.; Optimization.

Bilevel programming problems are hierarchical optimization problems where the constraints of one problem (the so-called upper level problem) are defined in part by a second parametric optimization problem (the lower level problem). If the lower level problem has a unique optimal solution for all par...

Table of Contents:

• Applications
• Linear Bilevel Problems
• Parametric Optimization
• Optimality Conditions
• Solution Algorithms
• Nonunique Lower Level Solution
• Discrete Bilevel Problems.