ISSN: 0256-1115 (print version) ISSN: 1975-7220 (electronic version)
Copyright © 2025 KICHE. All rights reserved

Articles & Issues

Language
English
Conflict of Interest
In relation to this article, we declare that there is no conflict of interest.
Publication history
Received September 24, 2001
Accepted November 22, 2001
articles This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright © KIChE. All rights reserved.

All issues

Global Optimization Methods for Chemical Process Design: Deterministic and Stochastic Approaches

School of Chemical Engineering and Technology, Chonbuk National University, Jeonju 561-756, Korea 1Chemical Engineering Department, University of California Los Angeles, Los Angeles, CA 90095, USA
soochoi@chonbuk.ac.kr
Korean Journal of Chemical Engineering, March 2002, 19(2), 227-232(6)
https://doi.org/10.1007/BF02698406
downloadDownload PDF

Abstract

Process optimization often leads to nonconvex nonlinear programming problems, which may have multiple local optima. There are two major approaches to the identification of the global optimum: deterministic approach and stochastic approach. Algorithms based on the deterministic approach guarantee the global optimality of the obtained solution, but are usually applicable to small problems only. Algorithms based on the stochastic approach, which do not guarantee the global optimality, are applicable to large problems, but inefficient when nonlinear equality constraints are involved. This paper reviews representative deterministic and stochastic global optimization algorithms in order to evaluate their applicability to process design problems, which are generally large, and have many nonlinear equality constraints. Finally, modified stochastic methods are investigated, which use a deterministic local algorithm and a stochastic global algorithm together to be suitable for such problems.

References

Adjiman CS, Androulakis IP, Maranas CD, Floudas CA, Comput. Chem. Eng., 20(S), 419 (1996) 
Back T, Hoffmeister F, Schwefel HP, "A Survey of Evolution Strategies," Proceedings of the Fourth International Conference on Genetic Algorithms, R.K. Belew and L.B. Booker, eds., Morgan Kaufmann, San Mateo, CA, 2 (1991)
Bagajewicz M, Manousiouthakis V, Comput. Chem. Eng., 15, 691 (1991) 
Booker LB, "Improving Search in Genetic Algorithms," Genetic Algorithms and Simulated Annealing, L. Davis, ed., Pitman, London, 61 (1987)
Choi SH, Ko JW, Manousiouthakis V, Comput. Chem. Eng., 23(9), 1351 (1999) 
Floudas CA, Visweswaran V, Comput. Chem. Eng., 14, 1397 (1990) 
Geoffrion AM, J. Opt. Theory Appl., 10, 237 (1972) 
Goldberg DE, "Genetic Algorithms in Search, Optimization, and Machine Learning," Addison-Wesley, Reading, MA (1989)
Han JR, Manousiouthakis V, Choi SH, Korean J. Chem. Eng., 14(4), 270 (1997)
Horst R, Tuy H, "Global Optimization: Deterministic Approaches," 2nd ed., Springer-Verlag, Berlin, Germany (1993)
Kirkpatrick S, Gelatt CD, Vecchi MP, Science, 220, 671 (1983) 
Konno H, Thach PT, Tuy H, "Optimization on Low Rank Non-convex Structures," Kluwer Academic Publishers, Dordrecht, The Netherlands (1997)
Michalewicz Z, "Genetic Algorithms+Data Structures=Evolution Programs," 3rd ed., Springer-Verlag, New York (1996)
Ratschek H, Rokne J, "New Computer Methods for Global Optimization," Ellis Horwood, Chichester, England (1988)
Ryoo HS, Sahinidis NV, Comput. Chem. Eng., 19(5), 551 (1995) 
Soland RM, Management Sci., 17, 759 (1971)
Vaidyanathan R, Elhalwagi M, Comput. Chem. Eng., 18(10), 889 (1994) 

The Korean Institute of Chemical Engineers. F5,119, Anam-ro, Seongbuk-gu, Seoul, Republic of Korea
TEL. No. +82-2-458-3078FAX No. +82-507-804-0669E-mail : kiche@kiche.or.kr

Copyright (C) KICHE.all rights reserved.

- Korean Journal of Chemical Engineering 상단으로