Consider a convex polygon <i>V_n</i> with <i>n</i> sides, perimeter <i>P_n</i>, diameter <i>D_n</i>, area <i>A_n</i>,...

Quel octogone de diamère unité (ou petit octogone) possède la plus grande surface ou le plus grand périmètre? Serait-ce l'octogone régulier? Eh! non, il n'en...

In this article we consider the problem of assigning parking slots to buses of different types so that the required buses can be dispatched easily in the mo...

The objective of the project is to provide dynamic scheduling solutions to two different services, automobile dealerships and dental clinics, in order to hel...

A conjecture of Delorme, Favaron and Rautenbach [DM 257 (2002) 29-38] about the Randic index of a graph, in relation to its order and minimum degree, is ref...

<p>Le système <i>AutoGraphiX (AGX1 et AGX2)</i> permet, parmi d’autres fonctions, la génération automatique de conjectures en théorie des graphes. Nous étud...

<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...

An alternative definition of the linear bilevel programming problem <i>BLP</i> has recently been proposed by Lu, Shi, and Zhang. This note shows that the pr...

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

We consider two (0,1)-linear programming formulations of the graph (vertex-) coloring problem, in which variables are associated to stable sets of the input...

Ce document valide le cadre conceptuel de logistique inverse de Lambert et Riopel (2004) à l'aide de trois cas industriels d'entreprises oeuvrant dans diffé...

In a transit authority bus depot, buses of different types arrive in the evening to be parked in the depot for the night, and then dispatched in the morning...

In this paper, we study optimal economic growth programs coupled with climate change dynamics. The study is based on models derived from MERGE, a well estab...

A previous analysis of second-order behavior of pattern search algorithms for unconstrained and linearly constrained minimization is extended to the more gen...

This paper presents a general mixed-norm minisum problem for locating a single facility in continuous space. It is assumed that several transportation modes...

We consider a widespread solution method that consists of a column generation approach embedded in a branch-and-bound scheme to solve the multiple depot veh...

We propose a game-theoretic model in which one national-brand manufacturer, acting as a leader, maximizes her own profit and one retailer, selling the natio...

The convex octagon with unit diameter and maximum perimeter is determined. This answers an open question dating from 1922. The proof uses geometric reasonin...

We modify an existing model of climate and economy to address the effect of uncer- tain, threshold events on the choice of optimal emissions control policy....