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In this paper, efficient optimization techniques are used to solve multi-objective optimization problems arising from Simulated Moving Bed (8MB) processes. SMBs are widely used in many industrial separations of chemical products and they are very challenging from the optimization point of view. With the help of interactive multi-objective optimization, several conflicting objectives can be considered simultaneously without making unnecessary simplifications, as it has been done in previous studies. The optimization techniques used are the interactive NIMBUS™ method and the IPOPT optimizer. To demonstrate the usefulness of these techniques, the results of solving an 8MB optimization problem with four objectives are reported.
Czasopismo
Rocznik
Tom
Strony
283--302
Opis fizyczny
Bibliogr. 21 poz., rys.
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autor
autor
autor
autor
- Dept. of Mathematical Information Technology P.O. Box 35 (Agora), FI-40014 University of Jyväskylä, Finland, jussi.hakanen@mit.jyu.fi
Bibliografia
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- GILL, P.E., MURRAY, W. and WRIGHT, M.H. (1981) Practical Optimization. Academic Press Inc., London.
- HAKANEN, J., HAKALA, J. and MANNINEN, J. (2006) An Integrated Multi-objective Design Tool for Process Design. Applied Thermal Engineering 26, 1393-1399.
- HAKANEN, J., MIETTINEN, K., MAKELA, M.M. and MANNINEN, J. (2005) On Interactive Multiobjective Optimization with NIMBUS in Chemical Process Design. Journal of Multicriteria Decision Analysis 13, 125-134.
- HASHIMOTO, K., ADACHI, S., NOUJIMA, H. and MARUYAMA, H. (1983) Models for the Separation of Glucose/Fructose Mixture Using a Simulated Moving Bed Adsorber. Journal of Chemical Engineering of Japan 16(5), 400-406.
- KARLSSON, S. (2001) Optimization of a Sequential-Simulated Moving-Bed Separation Process with Mathematical Programming Methods. PhD thesis, Abo Akademi University, Abo. Finland.
- KAWAJIRI, Y. and BIEGLER, L.T. (2006a) A Nonlinear Programming Superstructure for Optimal Dynamic Operations of Simulated Moving Bed Processes. Industrial & Engineering Chemistry Research 45, 8503-8513.
- KAWAJIRI, Y. and BIEGLER, L.T. (2006b) Optimization Strategies for Simulated Moving Bed and Powerfeed Processes. AIChE J. 52(4), 1343-1350.
- KO, D. and MOON, I. (2002) Multiobjective Optimization of Cyclic Adsorption Processes. Industrial & Engineering Chemistry Research 41(1), 93-104.
- MIETTINEN, K. (1999) Nonlinear Multiobjective Optimization. Kluwer Academic Publishers, Boston.
- MIETTINEN, K. and MAKELA, M.M. (1995) Interactive Bundle-Based Method for Nondifferentiable Multiobjective Optimization: NIMBUS. Optimization 34, 231-246.
- MIETTINEN, K. and MAKELA, M.M. (2002) On Scalarizing Functions in Multiobjective Optimization. OR Spectrum 24, 193-213.
- MIETTINEN, K. and MAKELA, M.M. (2006) Synchronous Approach in Interactive Multiobjective Optimization. European Journal of Operational Research 170, 909-922.
- NAKAYAMA, H. (1995) Aspiration Level Approach to Interactive Multi-Objective Programming and Its Applications. In: P.M. Pardalos, Y. Siskos, and C. Zopounidis, eds., Advances in Multicriteria Analysis, 147-174. Kluwer Academic Publishers.
- RUTHVEN, D.M. and CHING, C.B. (1989) Counter-current and Simulated Counter-current Adsorption Separation Processes. Chemical Engineering Science 44, 1011-1038.
- SUBMARANI, H., HIDAJAT, K. and RAY, A. (2003) Optimization of Reactive 8MB and Varicol Systems. Computers & Chemical Engineering 27, 1883-1901.
- TOUMI, A., HANISCH, F., and ENGELL, S. (2002) Optimal Operation of Continuous Chromatographic Processes: Mathematical Optimization of the VARICOL Process. Industrial and Engineering Chemistry Research 41, 4328-4337.
- WACHTER, A. and BIEGLER, L.T. (2006) On the Implementation of an Interior-Point Filter Line-Search Algorithm for Large-Scale Nonlinear Programming. Mathematical Programming 106, 25-57.
- WIERZBICKI, A.P. (1982) A Mathematical Basis for Satisficing Decision Making. Mathematical Modelling 3(25), 391-405.
- WIERZBICKI, A.P. (1999) Reference Point Approaches. In: T. Gal, T.J. Stewart, and T. Hanne, eds., Multicriteria Decision Making: Advances in MCDM Models, Algorithms, Theory, and Applications, 9.1-9.39, Kluwer Academic Publishers, Boston.
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Bibliografia
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