Lagrange multipliers : geometrical and algebraic aspects and an application in chemical engineering in the methanol distillation / Multiplicadores de Lagrange : aspectos geometricos e algebricos e uma aplicação em engenharia quimica na destilação do metanol

AUTOR(ES)
DATA DE PUBLICAÇÃO

2008

RESUMO

This work begins with a brief historical overview of Fermat?s method to find maxima and minima without derivatives. In theoretical terms, the elements concerning maximum and minimum of functions of n variables are discussed, together with a detailed study of unconstrained optimization, focusing on the Fermat?s rule and the classification of critical points. Constrained optimization is also analyzed, by means of the Lagrange Multilplier Theorem for equality constrained problems, and the Karush-Kuhn-Tucker (KKT) Theorem for mixed constrained optimization. In practical terms, an application concerning a distillation column of methanol associated to the biodiesel production is presented, with the optimization of the proportion of methanol in the amount of material that is removed from the top of the column

ASSUNTO(S)

destilação - modelos matematicos mathematical optimization functions of several real variables multiplicadores de distillation funções de varias variaveis reais lagrange multipliers otimização matematica lagrange

ACESSO AO ARTIGO

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