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Abstrakty
Several multicriteria optimization methods are compared using a practical optimal control problem from biotechnology as a test problem. Two criteria are taken into account: yield of biomass and natural process duration. Theoretical analysis of the problem is difficult because of non-linearity of the process model. The problem is reduced to a parametric optimization problem by means of parameterization of control functions. Several evolutionary multicriteria optimization algorithms and scalarization based direct search algorithms are considered. The methods are compared with respect to the precision and the solution time.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
127--132
Opis fizyczny
Bibliogr. 16 poz., wykr.
Twórcy
autor
autor
- Institute of Mathematics Akademijos str. 4, LT-08663 Vilnius, Lithuania, antanasz@ktl.mii.lt
Bibliografia
- [1] Arabas J., Evolutionary Computation and Global Optimization 2007, Politechnika Warszawska, 2007.
- [2] Chen Y., Genetic Algorithm Toobox SGALAB, http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=5882&objectType=file, 2007.
- [3] Fraga E., Žilinskas A., Evaluation of hybrid optimization methods for the optimal design of heat integrated distillation sequences, Advances in Engineering Software, Vol. 34,2003, pp. 73-86.
- [4] Fonseca C.M., Fleming P.J., Genetic Algorithms for Multi-objective Optimization: Formulation, Discussion and Generalization, Genetic Algorithms: Proc. Fifth Int. Conf., 1993, pp. 416-423.
- [5] Hager W., Pardalos P., (eds.), Optimal Control: Theory, Algorithms and Applications, Kluwer, Dordrecht, 1998.
- [6] Haupt R., Haupt S., Practical Genetic Algorithms, 1. Wiley, 2004.
- [7] Horn J., Nafpliotis N., Multiobjective Optimization Using the Niched Pareto Genetic Algorithm, IlliGAL Report No. 93005, 1993
- [8] Kelley C.T., Iterative methods for optimization, SIAM 1999.
- [9] Lee J.H., Lim H.C., Kim S.J., A nonsingular optimization approach to the feed rate profile optimization of fedbatch cultures, Bioprocess and Biosystems Engineering, Vol. 24, 2001, pp. 115-121.
- [10] Levišauskas D., Galvanauskas V., Henrich S., Wilhelm K., Volk N., Luebbert A., Model-based optimization of viral capsid protein production in fed batch culture of recombinant Escherichia coli, Bioprocess and Biosystems Engineering, Vol. 25, 2003, pp. 255-261.
- [11] Levišauskas D., Galvanauskas V., Simutis R., Žilinskas A., Žilinskas J., Optimization of biomass production in fed-batch culture by feed and dilution control actions. Information Technology and Control, Vol. 35, No. 4, 2006, pp. 383-390.
- [12] Levišauskas D., Galvanauskas V., Žunda G., Grigiškis S., Model-based optimization of biosurfatctant production in fed-batch culture Azotobacler vinelandii, Biotechnology Letters, Vol. 26, No. 14, 2004, pp. 1141-1146.
- [13] Thierens et. al., GECCO 2007, Vol. 1 and Vol. 2, ACM, 2007.
- [14] Žilinskas A., Fraga E., Mackutė A., Data analysis and visualisation for robust multi-criteria process optimization, Computers & Chemical Engineering, Vol. 30, 2006, pp. 1061-1071.
- [15] Žilinskas A., Mackutė-Varoneckienė A., On search for optimal control in a problem of bio technology. Inter. Conf. Computer Systems and Technologies, (CompSysTech’07), 2007.
- [16] Žilinskas A., Mackutė-Varoneckienė A., On search for two criteria optimal control in a problem of biotechnology by means of parametric optimization, Proc. Int. Conf. System Science, Vol. 1, 2007.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0033-0056