In this paper we analyze some properties of the discrete linear bilevel program for different discretizations of the set of variables. We study the geometry...

This paper addresses, from a mathematical programming point of view, the problem that consists in determining an hyperplane that separates, as well as possi...

In this paper, we give necessary optimality conditions for the nonlinear bilevel programming problem. Furthermore, at each feasible point, we show that the ...

The bilevel programming problem involves two optimization problems where the data of the first one is implicitly determined by the solution of the second. I...

In this paper a class of large, structured linear programs arising in multi-regional (or multi-sectoral) commodity exchange problems, is examined. A decompo...

A new branch-and-bound algorithm for linear bilevel programming is proposed. Necessary optimality conditions expressed in terms of tightness of the follow...

The interaction between a utility company and electricity cogenerators is modeled via a game theoretic, systems analysis approach, under the assumption of a...

We consider the problem of determining a hyperplane that separates, as "well" as possible, two finite sets of points in <i>Rⁿ</i>. We analyze two...

In this note it is shown that no general hypothesis on the cost functions can guarantee that a Pareto optimal solution to a linear bilevel programming probl...

The interaction between a utility company and electricity cogenerators is modeled via a game-theoretic, systems analysis approach, under the assumption of a...

La programmation mathématique à plusieurs niveaux permet de modéliser adéquatement certaines structures de décision hiérarchisées. Cette thèse contribue au ...

The aim of this note is to show that the algorithm recently proposed by J. Bard (1983) is not guaranteed to converge to the desired solution of a Linear Two-...

This report presents technical and economic data describing electric generation technologies in the world and in Québec. The particular situation of Québec ...

This report presents and documents the process technologies (PRC) included in the energy model MARKAL-QUÉBEC. The most important characteristics of the ener...

Cet ouvrage présente le résultat d'une recherche de plus de deux années, subventionnée par le fond FCAC (Action spontanée), l'Ecole des Hautes Etudes Commerc...

Ce rapport décrit le logiciel graphique exploitant les résultats fournis par le modèle énergétique MARKAL. Il explique en détails les étapes nécessaires à l...