Bilevel optimization is defined as a mathematical program, where an optimization problem
contains another optimization problem as a constraint. These problems have received …

Bilevel optimization is a very active field of applied mathematics. The main reason is that
bilevel optimization problems can serve as a powerful tool for modeling hierarchical …

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 …

In this paper we present an extension of the topology optimization method to include
uncertainties during the fabrication of macro, micro and nano structures. More specifically …

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 …

Bi-level optimization, especially the gradient-based category, has been widely used in the
deep learning community including hyperparameter optimization and meta-knowledge …

A robust shape and topology optimization (RSTO) approach with consideration of random
field uncertainty in loading and material properties is developed in this work. The proposed …

Multi-level decision-making (MLDM) handles problems that require compromise between
the objectives of two or more interacting entities which are arranged within a hierarchical …

This paper presents algorithms for solving structural topology optimization problems with
uncertainty in the magnitude and location of the applied loads and with small uncertainty in …

Product family design by module configuration is conducive to accommodating product
variety while maintaining mass production efficiency. Effective fulfillment of product families …