COMPLEX METHOD FOR NONLINEAR CONSTRAINED MULTI-CRITERIA (MULTI-OBJECTIVE FUNCTION) OPTIMIZATION of THERMAL PROCESSING

ABSTRACT The goal in a multi‐objective function optimization problem is to optimize the several objective functions simultaneously. the complex method is a powerful algorithm to find the optimum of a general nonlinear function within a constrained region. the objective of this study was to apply the...

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Vydané v:	Journal of food process engineering Ročník 26; číslo 4; s. 357 - 375
Hlavní autori:	ERDOǦDU, FERRUH, BALABAN, MURAT O.
Médium:	Magazine Article
Jazyk:	English
Vydavateľské údaje:	Oxford, UK Blackwell Publishing Ltd 01.10.2003 Blackwell
Predmet:	algorithms Biological and medical sciences density dimensions duration equations Food engineering Food industries food nutrient losses food preservation food processing food safety Fundamental and applied biological sciences. Psychology General aspects heat transfer heat treatment temperature profiles thermal conductivity thiamin volume Heat treatment Foodstuff Method Optimization Multiobjective programming
ISSN:	0145-8876, 1745-4530
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Abstract	ABSTRACT The goal in a multi‐objective function optimization problem is to optimize the several objective functions simultaneously. the complex method is a powerful algorithm to find the optimum of a general nonlinear function within a constrained region. the objective of this study was to apply the complex method to two different shapes (a sphere and a finite cylinder) subjected to the same thermal processing boundary conditions to find a variable process temperature profile (decision variable) to maximize the volume‐average retention of thiamine. A process temperature range of 5 to 150C was used as an explicit constraint. Implicit constraints were center temperature and accumulated center lethality of the sphere and the finite cylinder. the objective functions for both shapes were combined into a single one using a weighting method. Then, the previously developed complex algorithm was applied using Lexicographic Ordering to order the objective functions with respect to their significance. the results were reported as optimum variable process temperature profiles using the given geometries and objective functions. the thiamine retentions were also compared with a constant process temperature process, and 3.0% increase was obtained in the combined objective function. the results showed that the complex method can be successfully used to predict the optimum variable process temperature profiles in multi‐criteria thermal processing problems.
AbstractList	The goal in a multi‐objective function optimization problem is to optimize the several objective functions simultaneously. the complex method is a powerful algorithm to find the optimum of a general nonlinear function within a constrained region. the objective of this study was to apply the complex method to two different shapes (a sphere and a finite cylinder) subjected to the same thermal processing boundary conditions to find a variable process temperature profile (decision variable) to maximize the volume‐average retention of thiamine. A process temperature range of 5 to 150C was used as an explicit constraint. Implicit constraints were center temperature and accumulated center lethality of the sphere and the finite cylinder. the objective functions for both shapes were combined into a single one using a weighting method. Then, the previously developed complex algorithm was applied using Lexicographic Ordering to order the objective functions with respect to their significance. the results were reported as optimum variable process temperature profiles using the given geometries and objective functions. the thiamine retentions were also compared with a constant process temperature process, and 3.0% increase was obtained in the combined objective function. the results showed that the complex method can be successfully used to predict the optimum variable process temperature profiles in multi‐criteria thermal processing problems. ABSTRACT The goal in a multi‐objective function optimization problem is to optimize the several objective functions simultaneously. the complex method is a powerful algorithm to find the optimum of a general nonlinear function within a constrained region. the objective of this study was to apply the complex method to two different shapes (a sphere and a finite cylinder) subjected to the same thermal processing boundary conditions to find a variable process temperature profile (decision variable) to maximize the volume‐average retention of thiamine. A process temperature range of 5 to 150C was used as an explicit constraint. Implicit constraints were center temperature and accumulated center lethality of the sphere and the finite cylinder. the objective functions for both shapes were combined into a single one using a weighting method. Then, the previously developed complex algorithm was applied using Lexicographic Ordering to order the objective functions with respect to their significance. the results were reported as optimum variable process temperature profiles using the given geometries and objective functions. the thiamine retentions were also compared with a constant process temperature process, and 3.0% increase was obtained in the combined objective function. the results showed that the complex method can be successfully used to predict the optimum variable process temperature profiles in multi‐criteria thermal processing problems.
Author	ERDOǦDU, FERRUH BALABAN, MURAT O.
Author_xml	– sequence: 1 givenname: FERRUH surname: ERDOǦDU fullname: ERDOǦDU, FERRUH email: ferruherdogdu@yahoo.com organization: University of Mersin Food Engineering Department Çiftlikkoy-Mersin 33343, Turkey – sequence: 2 givenname: MURAT O. surname: BALABAN fullname: BALABAN, MURAT O. organization: Food Science and Human Nutrition University of Florida Gainesville, FL 32611
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References_xml	– reference: EDGAR, T.F., HIMMELBLAU, D.M. and LASDON, L.S. 2001. Optimization of Chemical Processes, 2nd Ed. McGraw Hill, New York . – reference: TERAJIMA, Y. and NONAKA, Y. 1996. Retort temperature profile for optimum quality during conduction heating of foods in retortable pouches. J. Food Sci. 61, 673-678, 682. – reference: BHASKAR, V., GUPTA, S.K. and RAY, A.K. 2000. Applications of multiobjective optimization in chemical engineering. Rev. Chem. Eng. 16, 1-54. – reference: DEB, K. 2002. Multi-objective Optimization Using Evolutionary Algorithms John Wiley & Sons, New York . – reference: THIJSSEN, H.A.C., KERKHOF, A.M. and LIEFKENS, A.A.A. 1978. Shortcut method for the calculation of sterilization conditions yielding optimum quality retention for conduction-type heating of packaged foods. J. Food Sci. 43, 1096-1101. – reference: MISHKIN, M., KAREL, M. and SAGUY, I. 1982. Applications of optimization in food dehydration. Food Technol. 36, 101-109. – reference: SAGUY, I. and KAREL, M. 1979. Optimal retort temperature profile in optimizing thiamin retention in conduction-type heating of canned foods. J. Food Sci. 4, 1485-1490. – reference: CHALABI, Z.S., VAN WILLIGENBURG, L.G. and VAN STRATEN, G. 1999. Robust optimal receding horizon control of the thermal sterilization of canned foods. J. Food Eng. 40, 207-218. – reference: LUND, D.B. 1982. Applications of optimization in heat processing. Food Technol. 36, 97-100. – reference: MIETTINEN, K.M. 1999. Nonlinear Multiobjective Optimization Kluwer, Norwell , MA . – reference: SILVA, C.L.M., OLIVEIRA, F.A.R. and HENDRICKX, M. 1993. Modeling optimum processing conditions for the sterilization of prepackaged foods. Food Control 4, 67-78. – reference: NORONHA, J., HENDRICKX, M., SUYS, J. and TOBBACK, P. 1993. Optimization of surface quality retention during the thermal processing of conduction heated foods using variable temperature retort profiles. J. 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Snippet	ABSTRACT The goal in a multi‐objective function optimization problem is to optimize the several objective functions simultaneously. the complex method is a... The goal in a multi‐objective function optimization problem is to optimize the several objective functions simultaneously. the complex method is a powerful...
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SubjectTerms	algorithms Biological and medical sciences density dimensions duration equations Food engineering Food industries food nutrient losses food preservation food processing food safety Fundamental and applied biological sciences. Psychology General aspects heat transfer heat treatment temperature profiles thermal conductivity thiamin volume
Title	COMPLEX METHOD FOR NONLINEAR CONSTRAINED MULTI-CRITERIA (MULTI-OBJECTIVE FUNCTION) OPTIMIZATION of THERMAL PROCESSING
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