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A GLOBAL OPTIMIZATION APPROACH TO Rational Programming(Manousiouthakis and Sourlas)-92

A GLOBAL OPTIMIZATION APPROACH TO Rational Programming(Manousiouthakis and Sourlas)-92

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This article was downloaded by:[University of Oklahoma Libraries] On: 22 September 2007 Access Details: [subscription number 731942891] Publisher: Taylor & Francis Informa Ltd Registered in England and Wales Registered Number: 1072954 Registered office: Mortimer House, 37-41 Mortimer Street, London W1T 3JH, UK Chemical Engineering Communications Publication details, including instructions for authors and subscription information: http://www.informaworld.com/smpp/title~content=t713454788 A GLOBAL OPTIMIZATION APPROACH TO RATIONALLY CONSTRAINED RATIONAL PROGRAMMING Vasilios Manousiouthakis a ; Dennis Sourlas a a Chemical Engineering Department, University of California, Los Angeles, CA Online Publication Date: 01 January 1992 To cite this Article: Manousiouthakis, Vasilios and Sourlas, Dennis (1992) 'A GLOBAL OPTIMIZATION APPROACH TO RATIONALLY CONSTRAINED RATIONAL PROGRAMMING ', Chemical Engineering Communications, 115:1, 127 - 147 To link to this article: DOI: 10.1080/00986449208936033 URL: http://dx.doi.org/10.1080/00986449208936033 PLEASE SCROLL DOWN FOR ARTICLE Full terms and conditions of use: http://www.informaworld.com/terms-and-conditions-of-access.pdf This article maybe used for research, teaching and private study purposes. Any substantial or systematic reproduction, re-distribution, re-selling, loan or sub-licensing, systematic supply or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date. The accuracy of any instructions, formulae and drug doses should be independently verified with primary sources. The publisher shall not be liable for any loss, actions, claims, proceedings, demand or costs or damages whatsoever or howsoever caused arising directly or indirectly in connection with or arising out of the use of this material.
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Downloaded By: [University of Oklahoma Libraries] At: 00:26 22 September 2007 Chem. Eng. Comm. 1992, Vol. 115, pp. 127-147 Reprints available directly from the publisher. Photocopying permitted by license only. © 1992Gordon and Breach Science Publishers S.A. Printed in the United States of America A GLOBAL OPTIMIZATION APPROACH TO RATIONALLY CONSTRAINED RATIONAL PROGRAMMINGt:j: VASILIOS MANOUSIOUTHAKIS', and DENNIS SOUR LAS Chemical Engineering Department University of California Los Angeles, CA 90024-1592 (Received January 2, 1991; in final form November 5, 1991) The rationally constrained rational programming (RCRP) problem is shown, for the first time, to be equivalent to the quadratically constrained quadratic programming problem with convex objective function and constraints that are all convex except for one that is concave and separable. This equivalence is then used in developing a novel implementation of the Generalized Benders Decomposition (GBDA) which, unlike aU earlier implementations, is guaranteed 10 identify the global optimum of the RCRP problem. It is also shown, that the critical step in the proposed GBDA implementation is the solution of the master problem which is a quadratically constrained, separable, reverse convex programming problem that must be solved globally. Algorithmic approaches to the
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