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Zbl 0571.90055
Pibouleau, L.; Floquet, P.; Domenech, S.
Optimisation de procédés chimiques par une méthode de gradient réduit. I: Présentation de l'algorithme. (French)
[J] RAIRO, Rech. Opér. 19, 247-274 (1985). ISSN 0399-0559

A reduced gradient algorithm, designed for solving the two basic classes of continuous optimization problems in the field of chemical engineering - unit operations optimization and CAD of large-scale processes - is presented in this paper. A great number of bounded variables, an implicit criterion, and a set of linear or nonlinear constraints giving rise to a sparse Jacobian matrix, form the main features of these two classes of problems. \par In the case of large-scale linearly constrained problems, involving several hundreds of variables, the algorithm implementation is based both on a partition of the variables and on the use of numerically stable matrix factorizations. Nonlinear constrained problems can also be the means of numerical linearization procedures. In a second article, the algorithm is illustrated by some test problems, involving numerical and chemical engineering examples.

MSC 2000:: *90C06 Large-scale problems
90C30 Nonlinear programming
65K05 Mathematical programming (numerical methods)
90C90 Appl. of mathematical programming

Keywords: linear and nonlinear constraints; reduced gradient algorithm; chemical engineering; large-scale linearly constrained problems; linearization

Cited in: Zbl 0581.90082

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