We propose a unified framework for the update of the barrier parameter in interiorpoint methods for nonlinear programming. The original primal-dual system i...

Usual graph classes, such as complete graphs, paths, cycles and stars, frequently appear as extremal graphs in graph theory problems. Here we want to turn t...

Most examples of cycling in the simplex method are given without explanation of how they were constructed. An exception is Beale’s 1955 example built around...

Several upper bounds on the largest Laplacian eigenvalue of a graph <i>G</i>, in terms of degree and average degree of neighbors of its vertices, have been ...

The objectives of this paper are twofold; we first demonstrate the flexibility of the mesh adaptive direct search (MADS) in identifying locally optimal algo...

Les problèmes de chargement statique de groupes turbo-alternateurs à vapeur peuvent être exprimés sous forme de minimisation d’une somme de fonction de coût ...

Dynamic programming is applied to the economic dispatch problem with spin- ning reserve constraint. A first algorithm, based on a direct application of Bell...

In this paper, we examine the sensitivity of trust-region algorithms on the param- eters related to the step acceptance and update of the trust region. We s...

Recent developments in numerical methods for solving large differentiable nonlinear optimization problems are reviewed. State-of-the-art algorithms for solv...

<p> This paper introduces the Mesh Adaptive Direct Search (MADS) class of algorithms for nonlinear optimization. MADS extends the Generalized Pattern Searc...

Chemical graphs, as other ones, are <i>regular</i> if all their vertices have the same degree. Otherwise, they are <i>irregular</i> and it is of interest to...

A new class of algorithms for solving nonlinearly constrained mixed variable optimization problems is presented. This class combines and extends the Audet-De...

This paper formulates and analyzes a pattern search method for general constrained optimization based on filter methods for step acceptance. Roughly, a f...

Cet article propose un modèle d’optimisation des stratégies de maintenance pour une meilleure intégration dans un plan de production préétabli. Le modèle est...

We present an exact algorithm and three applications of nonconvex quadratically constrained quadratic programming. First, we consider the pooling problem fro...

La majorité des auteurs traitant du problème de design d'implantation d'usine considèrent que la sélection de la configuration du réseau de manutention est f...

Generalized logical analysis aims at modelling complex biological systems, especially the so-called regulatory systems like genetic networks. The main feat...

The pooling problem, which is fundamental to the petroleum industry, describes a situation where products possessing different attribute qualities are mixed...

A common question asked by users of direct search algorithms is how to use derivative information at iterates where it is available. This paper addresses th...

This paper describes a method for evaluating the kinetic constants in a rate expression for catalytic combustion applications using experimental light-off c...