Programmation Linéaire, une nouvelle approche / Novel way in linear Programming

Details Programmation Linéaire, une nouvelle approche / Novel way in linear Programming Programmation Linéaire, une nouvelle approche / Novel way in linear Programming

2010-08-11

arxiv.org/abs/1008.1989v1

Mathematics

Optimization and Control

10 pages, 2 figures

Scientific paper

R\'esum\'e Apr\`es un bref aper\c{c}u permettant de situer notre travail, nous proposons une nouvelle voie pour aborder la programmation lin\'eaire en proposant un algorithme \'elabor\'e \`a partir d'une id\'ee simple qui permet d'obtenir une solution aussi approch\'ee que voulu par translation dichotomique d'un hyperplan de l'espace des solutions. Abstract After a short course in order to situate our work, we propose a new way to study linear programming and we give a proposal of algorithm to solve linear programming from a basic idea which allow to obtain an approached solution with desired accuracy. For this we use some dichotomic translations of an hyperplan in the solutions hyperspace.

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