The paper shows that among all equilateral polygons with a given number of sides and the same diameter, the regular polygon has the maximal area.

This document describes the NOMAD software, a C++ implementation of the Mesh Adaptive Direct Search (MADS) algorithm designed for constrained optimization of...

In prior works, this group demonstrated the feasibility of valid adaptive sequential designs for crossover bioequivalence studies. In this paper, we extend t...

We study the function returning the sum of the k components of largest magnitude of a vector. We show that if a nonnegative vector x is such that its Eu...

The Mesh Adaptive Direct Search (MADS) algorithm is designed for blackbox optimization problems subject to general inequality constraints. Currently, MADS do...

This paper presents a new method for solving the short-term unit commitment and loading problem of a hydropower system. Dynamic programming is used to comput...

Blackbox optimization deals with situations in which the objective function and constraints are typically computed by launching a time-consuming computer ...

The Mesh Adaptive Direct Search algorithm (MADS) algorithm is designed for nonsmooth blackbox optimization problems in which the evaluation of the funct...

Consider a scale that accepts three marbles of different weights. The scale only ranks the marbles, by indicating the heaviest, the lightest and the middle ...

Blackbox optimization typically arises when the functions defining the objective and constraints of an optimization problem are computed through a computer...

The Mesh Adaptive Direct Search (MADS) class of algorithms is designed for nonsmooth optimization, where the objective function and constraints are typical...

The paper answers an open problem introduced by Bezdek and Fodor in 2000. The width of any unit-diameter octagon is shown to be less than or equal to `(\fra...

This paper presents a framework to determine optimal maintenance planning of a fleet of complex and independent systems. They are made up of several major co...

OPAL is a general-purpose system for modeling and solving algorithm optimization problems. OPAL takes an algorithm as input, and as output it suggests para...

Accurate measurements of snow water equivalent (SWE) is an important factor in managing water resources for hydroelectric power generation. SWE over a catchm...

In the context of algorithmic parameter optimization, there is much room for efficient usage of computational resources. We consider the OPAL framework in wh...

During alloy and process design, it is often desired to identify regions of design or process variables for which certain calculated functions have optimal v...

The present paper describes the coupling of the Mesh Adaptive Direct Search (MADS) algorithm with the FactSage thermochemical software, which allows to calcu...

The paper proposes a framework for sensitivity analyses of blackbox constrained optimization problems for which Lagrange multipliers are not available. Two s...

We propose a new approach to construct adaptive multiscale orthonormal (AMO) bases of R^<i>N</i> that provide highly sparse signal representations....