Abstract
In recent decades, a novel class of optimization techniques, namely metaheuristics, has been developed and devoted to the solution of highly combinatorial discrete problems.The improvements provided by these methods were extended to the continuous or mixed-integer optimization area. This chapter addresses the problem of adapting a Genetic Algorithm (GA) to a Mixed Integer Non-linear Programming (MINLP) problem.The basis of the work is optimal batch plant design, which is of great interest in the framework of Process Engineering. This study deals with the two main issues for GAs, i.e. the treatment of continuous variables by specific encoding and efficient constraints handling in GA. Various techniques are tested for both topics and numerical results show that the use of a mixed real-discrete encoding and a specific domination-based tournament method is the most appropriate approach.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Teh YS, Rangaiah GP (2003) Comput Chem Eng 27:1665–1679
Dedieu S, Pibouleau L, Azzaro-Pantel C, Domenech S (2003) Comput Chem Eng 27:1723–1740
Lee S, Grossmann IE (2000) Comput Chem Eng 24:2125–2141
Modi AK, Karimi IA (1989) Comput Chem Eng 13:127–139
Grossmann IE (2002) Opt Eng 3:227–252
Dietz A, Azzaro-Pantel C, Pibouleau L, Domenech S (2005) Ind Eng Chem Res 44:2191–2206
Hao JK, Galinier P, Habib M (1999) Rev Intell Art 1:11-48
Triki E, Collette Y, Siarry P (2005) Eur J Op Res 166:77–92
Hedar AR, Fukushia M (2006) Eur J Op Res 170:329–349
Ducek G, Scheuer T (1990) J Computat Phys 90:161–175
Ahmadi S, Osman IH (2005) Eur J Op Res 162:30–44
Kirkpatrick S, Gelatt CD Jr, Vecchi MP (1982) Optimization by Simulated Annealing. IBM Research Report RC 9355
André J, Siarry P, Dognon P (2001) Adv Eng Softw 32:49–60
Beyer HG, Schwefel HP (2002) Nat Comput Int J 1:3–52
Yang YW, Xu JF, Soh CK (2006) Eur J Op Res 168:354–369
Grossmann IE, Sargent RWH (1979) Ind Eng Chem Proc Des Dev 18:343–348
Kocis GR, Grossmann IE (1988) Ind Eng Chem Res 27:1407–1421
Patel AN, Mah RSH, Karimi IA (1991) Comput Chem Eng 15:451–469
Wang C, Quan H, Xu X (1996) Ind Eng Chem Res 35:3560–3566
Wang C, Quan H, Xu X (1999) Comput Chem Eng 23:427–437
Wang C, Xin Z (2002) Comput Chem Eng 41:6678–6686
Ponsich A, Azzaro-Pantel C, Domenech S, Pibouleau L (2005) About the relevance of Mathematical Programming and stochastic optimisation methods : application to optimal batch plant design problems. In: Espuña and Puigjaner (eds) Proceedings of European Symposium of Computer Aided Process Engineering 15, Barcelona, May 30–June 1, 2005. Elsevier, New York
Brooke A, Kendrick D, Meeraus A, Raman R (1998) GAMS User’s Guide. GAMS Development Corporation, Washington DC
Pinto JM, Montagna JM, Vecchietti AR, Irribarren OA, Asenjo JA (2001) Biotechnol Bioeng 74:451–465
Epperly TGW, Ierapetritou MG, Pistikopoulos EN (1997) Comput Chem Eng 21:1411–1431
Aguilar Lasserre A, Azzaro-Pantel C, Domenech S, Pibouleau L (2005) Modélisation des imprécisions de la demande en conception optimale multicritère d’ateliers discontinus. Proceedings of SFGP Congress in Toulouse (France), September 20–22, 2005
Holland JH (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor, MI
Coello Coello CA (2002) Comput Meth Appl Mech Eng 191:1245–1287
Michalewicz Z, Dasgupta D, Le Riche RG, Schoenauer M (1996) Comput Ind Eng 30:851–870
Coello Coello CA (2002b) Comput Ind 41:113–127
Deb K (2000) Comput Meth Appl Mech Eng 186:311–338
Coello Coello CA, Mezura Montes E (2002) Adv Eng Inf 16:193–203
Golberg DE (1989) Genetic Algorithms in Search, Optimization and Machine Learning. Addison-Wesley Publishing Company Inc., MA
Montastruc L (2003) Développement d’un pilote automatisé, fiable et sûr pour la dépollution d’effluents aqueux d’origine industrielle. PhD Thesis, INP Toulouse, France
Michalewicz Z, Schoenauer M (1996) Evol Comp 4:1–32
Deb K, Agrawal RB (1995) Complex Sys 9:115–148
Raghuwanshi MM, Kakde OG (2005) Survey on multiobjective evolutionary and real coded genetic algorithms. Proceedings of the 7th International Conference on Adaptative and Natural Computing Algorithms, Coimbra (Portugal), March 21–23, 2005
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Ponsich, A., Azzaro-Pantel, C., Domenech, S., Pibouleau, L. (2007). Some Guidelines for Genetic Algorithm Implementation in MINLP Batch Plant Design Problems. In: Siarry, P., Michalewicz, Z. (eds) Advances in Metaheuristics for Hard Optimization. Natural Computing Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72960-0_14
Download citation
DOI: https://doi.org/10.1007/978-3-540-72960-0_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72959-4
Online ISBN: 978-3-540-72960-0
eBook Packages: Computer ScienceComputer Science (R0)