[图书][B] Mathematical programs with equilibrium constraints

ZQ Luo, JS Pang, D Ralph - 1996 - books.google.com
This book provides a solid foundation and an extensive study for an important class of
constrained optimization problems known as Mathematical Programs with Equilibrium …

Bilevel optimization: theory, algorithms, applications and a bibliography

S Dempe - Bilevel optimization: advances and next challenges, 2020 - Springer
Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …

Annotated bibliography on bilevel programming and mathematical programs with equilibrium constraints

S Dempe - 2003 - Taylor & Francis
In this bibliography main directions of research as well as main fields of applications of
bilevel programming problems and mathematical programs with equilibrium constraints are …

Smooth SQP methods for mathematical programs with nonlinear complementarity constraints

H Jiang, D Ralph - SIAM Journal on Optimization, 2000 - SIAM
Mathematical programs with nonlinear complementarity constraints are reformulated using
better posed but nonsmooth constraints. We introduce a class of functions, parameterized by …

Semivectorial bilevel optimization problem: penalty approach

H Bonnel, J Morgan - Journal of Optimization Theory and Applications, 2006 - Springer
We consider a bilevel optimization problem where the upper level is a scalar optimization
problem and the lower level is a vector optimization problem. For the lower level, we deal …

On solving simple bilevel programs with a nonconvex lower level program

GH Lin, M Xu, JJ Ye - Mathematical Programming, 2014 - Springer
In this paper, we consider a simple bilevel program where the lower level program is a
nonconvex minimization problem with a convex set constraint and the upper level program …

[图书][B] Fuzzy and multi-level decision making: an interactive computational approach

ES Lee, HS Shih - 2012 - books.google.com
Managerial Decisions in hierarchy organizations, such as the various manufacturing and
service companies, are difficult to formalize and even more difficult to optimize. By exploring …

Numerically tractable optimistic bilevel problems

L Lampariello, S Sagratella - Computational Optimization and Applications, 2020 - Springer
We consider a class of optimistic bilevel problems. Specifically, we address bilevel problems
in which at the lower level the objective function is fully convex and the feasible set does not …

Semivectorial bilevel optimization on Riemannian manifolds

H Bonnel, L Todjihoundé, C Udrişte - Journal of Optimization Theory and …, 2015 - Springer
In this paper, we deal with the semivectorial bilevel problem in the Riemannian setting. The
upper level is a scalar optimization problem to be solved by the leader, and the lower level is …

Optimality conditions for pessimistic semivectorial bilevel programming problems

B Liu, Z Wan, J Chen, G Wang - Journal of Inequalities and Applications, 2014 - Springer
In this paper, a class of pessimistic semivectorial bilevel programming problems is
investigated. By using the scalarization method, we transform the pessimistic semivectorial …