Bilevel optimization is a field of mathematical programming in which some variables are
constrained to be the solution of another optimization problem. As a consequence, bilevel …

Abstract The Unit Commitment problem in energy management aims at finding the optimal
production schedule of a set of generation units, while meeting various system-wide …

Bi-Level Optimization (BLO) is originated from the area of economic game theory and then
introduced into the optimization community. BLO is able to handle problems with a …

Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …

Bilevel optimization refers to the area of optimization dealing with problems having a
hierarchical structure, involving two decision-makers: a leader and a follower. This problem …

Bilevel optimization is a vital field of active research. Depending on its formulation it is part of
nonsmooth or nondifferentiable optimization, conic programming, optimization with …

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 …

The goal of continual learning is to find a model that solves multiple learning tasks which are
presented sequentially to the learner. A key challenge in this setting is that the learner may" …

In this paper, we formulate in a game-theoretic framework three coordination schemes for
analyzing DSO-TSO interactions. This framework relies on a reformulation of the power flow …

We consider the bilevel programming problem and its optimal value and KKT one level
reformulations. The two reformulations are studied in a unified manner and compared in …