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Issue ESAIM: PROC
Volume 20, 2007
RFMAO 05 - Rencontres Franco-Marocaines en Approximation et Optimisation 2005
Page(s) 118 - 128
DOI 10.1051/proc:072011
Published online 13 October 2007

ESAIM: Proc., 2007, Vol. 20, pp. 118-128
DOI: 10.1051/proc:072011

NBI-RPRGM for Multi-objective Optimization Design of Bio-Processes

R. Ellaia1, A. El Mouatasim1, J. R. Banga2 and O. H. Sendin2

1  Ecole Mohammadia d'Ingénieurs, LERMA Avenue Ibn Sina BP765 - Agdal, Rabat -Maroc
2  Process Engineering Group, IIM-CSIC, C/ Eduardo Cabello, 6, 36208 Vigo, Spain

ellaia@emi.ac.ma
julio@iim.csic.es

(Published online: 13 October 2007)

Abstract
In this work we consider multi-objective optimization problems arising from the domain of the design of nonlinear bioprocesses. The goals are to maximize the product profit and to minimize simultaneously the Fixed Capital Investment, by imposing additional constraints in order to ensure cell viability. As a result, the Pareto-optimal set is obtained for Random Perturbation of Reduced Gradient Method (RPRGM) by solving a set of nonlinear programming subproblems of multi objective optimization using the recent Normal Boundary Intersection (NBI), the objective and constraints functions are assumed to be differentiable.


Résumé
Dans ce travail nous considérons des problèmes d'optimisation multi-objectifs qui apparaissent dans le domaine de conception de bioprocess. L'objectif est de maximiser le profit du produit et de minimiser l'investissement du capital fixe simultanément, en imposant des contraintes supplémentaires pour assurer la viabilité cellulaire. En conséquence, l'ensemble Pareto-optimal est obtenu par perturbation aléatoire de la méthode du gradient réduit en résolvant un ensemble de programmes non linéaires, sous-problèmes multi-objectifs obtenus par l'utilisation de la méthode NBI; les fonctions objectifs et celles des contraintes sont supposées différentiables.


Mathematics Subject Classification. 90C29, 90C26, 90C52

Key words: Multi-objective optimization, NBI, RPRGM, design of processes.


© EDP Sciences, ESAIM 2007


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