We propose a new algorithm for general constrained derivative-free optimization. As in most methods, constraint violations are aggregated into a single con...

This paper proposes a way to combine the Mesh Adaptive Direct Search (MADS) algorithm, which extends the Generalized Pattern Search (GPS) algorithm, with th...

Optimization problems modeled in the AMPL modeling language [Fourer, Gay and Kernighan (2002)] may be examined by a set of tools found in the AMPL Library [...

This work deals with bound constrained multiobjective optimization (<i>MOP</i>) of nonsmooth functions for problems in which the structure of the objective ...

In this paper, the general problem of chemical process optimization defined by a computer simulation is formulated. It is generally a nonlinear, non-convex,...

Past studies have shown the unstability of unstructured peer-to-peer networks, in particular Gnutella. Because of this unstability, queries in these network...

<p>Using the <i>AutoGraphiX 2</i> system, a systematic study is made on generation and proof of relations of the form</p> <center> $\underline{b}_n \leq ...

This paper is intended not as a survey, but as an introduction to some ideas behind the class of mesh adaptive direct search (MADS) methods. Space limitatio...

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...