APPLICATIONS OF MULTIOBJECTIVE OPTIMIZATION IN CHEMICAL ENGINEERING

Multiobjective optimization involves the simultaneous optimization of more than one objective function. This is quite commonly encountered in Chemical Engineering. A considerable amount of research has been reported in this area over the last twenty years. These are reviewed in the present paper. The general background of this area is presented at the beginning, followed by a description of how the results can be described in terms of Pareto sets. We then present the several methods available for generating these optimal solutions. Applications of optimization in Chemical Engineering wherein multiple objectives are encountered, as well as special adaptations of the basic algorithms required to solve these problems, are then discussed. Some comments are also made on possible directions that future research may take in this area.

[1]  Simon French,et al.  Multi-Objective Decision Analysis with Engineering and Business Applications , 1983 .

[2]  John H. Seinfeld,et al.  Optimization with Multiple Performance Criteria. Application to Minimization of Parameter Sensitivlties in a Refinery Model , 1970 .

[3]  Tomio Umeda,et al.  Multi-level, multi-objective optimization in process engineering , 1981 .

[4]  A. Ciric,et al.  Multiobjective optimization approach to sensitivity analysis: waste treatment costs in discrete process synthesis and optimization problems , 1993 .

[5]  David G. Kleinbaum,et al.  Logistic Regression. A Self- Learning Text , 1994 .

[6]  J. Farber,et al.  Steady state multiobjective optimization of continuous copolymerization reactors , 1986 .

[7]  H. Nishitani,et al.  The optimal flow-pattern of multiple effect evaporator systems , 1979 .

[8]  H. Nishitani,et al.  Multiobjective analysis for energy and resource conservation in an evaporation system , 1983 .

[9]  Yacov Y. Haimes,et al.  Hierarchical analyses of water resources systems : modeling and optimization of large-scale systems , 1977 .

[10]  Kalyanmoy Deb,et al.  MULTI-OBJECTIVE FUNCTION OPTIMIZATION USING NON-DOMINATED SORTING GENETIC ALGORITHMS , 1994 .

[11]  Ahmet Palazoglu,et al.  A multiobjective approach to design chemical plants with robust dynamic operability characteristics , 1986 .

[12]  Ajay K. Ray,et al.  Multiobjective optimization of an industrial wiped-film pet reactor , 2000 .

[13]  David E. Goldberg,et al.  Genetic Algorithms with Sharing for Multimodalfunction Optimization , 1987, ICGA.

[14]  Y. Haimes,et al.  Multiobjectives in water resource systems analysis: The Surrogate Worth Trade Off Method , 1974 .

[15]  Yacov Y. Haimes,et al.  Hierarchical Multiobjective Analysis of Large-Scale Systems , 1990 .

[16]  Atsunobu Ichikawa,et al.  Synthesis of Optimal Process Systems with Uncertainty , 1974 .

[17]  J. David Schaffer,et al.  Proceedings of the third international conference on Genetic algorithms , 1989 .

[18]  Ignacio E. Grossmann,et al.  INCORPORATING TOXICOLOGY IN THE SYNTHESIS OF INDUSTRIAL CHEMICAL COMPLEXES , 1982 .

[19]  Kishalay Mitra,et al.  Multiobjective dynamic optimization of an industrial Nylon 6 semibatch reactor using genetic algorit , 1998 .

[20]  Shigenobu Kobayashi,et al.  Interactive solution to multiple criteria problems in chemical process design: An approach by pairwise comparison , 1980 .

[21]  W. Harmon Ray,et al.  Process optimization, with applications in metallurgy and chemical engineering , 1973 .

[22]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[23]  A. Kraslawski,et al.  Application of fuzzy multiobjective optimization for self-sucking impellers in a bioreactor , 1991 .

[24]  E. Stamhuis,et al.  Optimisation of the process conditions for the modification of starch , 1999 .

[25]  Michael Kupferschmid,et al.  An ellipsoid algorithm for nonlinear programming , 1983, Math. Program..

[26]  Kalyanmoy Deb,et al.  Muiltiobjective Optimization Using Nondominated Sorting in Genetic Algorithms , 1994, Evolutionary Computation.

[27]  Yacov Y. Haimes,et al.  Multiobjective optimization in water resources systems : the surrogate worth trade-off method , 1975 .

[28]  M. Ray,et al.  Multiobjective Optimization of Cyclone Separators Using Genetic Algorithm , 2000 .

[29]  J. Marchal.  Cours d'economie politique , 1950 .

[30]  R. Weiner.  Lecture Notes in Economics and Mathematical Systems , 1985 .

[31]  S. Gupta,et al.  Multiobjective optimization of an industrial nylon-6 semibatch reactor system using genetic algorithm , 1999 .

[32]  Arthur W. Westerberg,et al.  Optimization for design problems having more than one objective , 1983 .

[33]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[34]  George Stephanopoulos,et al.  Multiobjective analysis in modeling the petrochemical industry , 1980 .

[35]  Ajay K. Ray,et al.  Multiobjective optimization of an industrial wiped film poly(ethylene terephthalate) reactor: some further insights , 2001 .

[36]  Marc Despontin,et al.  Multiple Criteria Optimization: Theory, Computation, and Application, Ralph E. Steuer (Ed.). Wiley, Palo Alto, CA (1986) , 1987 .

[37]  Arthur E. Bryson,et al.  Applied Optimal Control , 1969 .

[38]  J. D. Schaffer,et al.  Some experiments in machine learning using vector evaluated genetic algorithms (artificial intelligence, optimization, adaptation, pattern recognition) , 1984 .

[39]  Sirish L. Shah,et al.  Multimodel-based minimum bias control of a benchmark paper machine process , 1997 .

[40]  D. Himmelblau,et al.  Optimization of Chemical Processes , 1987 .

[41]  Leon Lapidus,et al.  Optimal control of engineering processes , 1967 .

[42]  L. T. Fan,et al.  Multiobjective Optimal Synthesis , 1983 .

[43]  Kalyanmoy Deb,et al.  Evolutionary Algorithms for Multi-Criterion Optimization in Engineering Design , 1999 .

[44]  E. Kunugita,et al.  MULTI-OBJECTIVE OPTIMIZATION OF AN AERATION VESSEL FOR WASTE WATER TREATMENT , 1980 .

[45]  Gerhard Schammler.  Zur Anwendung von Suchverfahren bei der Lösung von Polyoptimierungsproblemen in der Verfahrenstechnik , 1986 .

[46]  H. Kunzi,et al.  Lectu re Notes in Economics and Mathematical Systems , 1975 .

[47]  Sanjeev Garg,et al.  Multiobjective optimization of a free radical bulk polymerization reactor using genetic algorithm , 1999 .

[48]  Marc Roubens,et al.  Multiple criteria decision making , 1994 .

[49]  S. Zionts,et al.  An Interactive Programming Method for Solving the Multiple Criteria Problem , 1976 .

[50]  Christodoulos A. Floudas,et al.  Analyzing the interaction of design and control—1. A multiobjective framework and application to binary distillation synthesis , 1994 .

[51]  Peter J. Fleming,et al.  Genetic Algorithms for Multiobjective Optimization: FormulationDiscussion and Generalization , 1993, ICGA.

[52]  Gordon S. G. Beveridge,et al.  Optimization: theory and practice , 1970 .

[53]  S. Gupta,et al.  Multiobjective optimization of an industrial semibatch nylon 6 reactor , 1995 .

[54]  Arthur M. Geoffrion,et al.  An Interactive Approach for Multi-Criterion Optimization, with an Application to the Operation of an Academic Department , 1972 .

[55]  D. Butala,et al.  Multiobjective dynamic optimization of a semibatch free-radical copolymerization process with interactive cad tools , 1988 .

[56]  Mark Bucci,et al.  Optimization with simulated annealing , 2001 .

[57]  C. Fonseca,et al.  GENETIC ALGORITHMS FOR MULTI-OBJECTIVE OPTIMIZATION: FORMULATION, DISCUSSION, AND GENERALIZATION , 1993 .

[58]  Peter J. Fleming,et al.  Multiobjective optimization and multiple constraint handling with evolutionary algorithms. II. Application example , 1998, IEEE Trans. Syst. Man Cybern. Part A.

[59]  Arthur M. Geoffrion,et al.  Strictly Concave Parametric Programming, Part II: Additional Theory and Computational Considerations , 1967 .

[60]  Charles Gide,et al.  Cours d'économie politique , 1911 .

[61]  A. M. Geoffrion.  Strictly Concave Parametric Programming, Part I: Basic Theory , 1966 .

[62]  M. L. Luyben,et al.  Analyzing the interaction of design and control—2. reactor-separator-recycle system , 1994 .

[63]  C. McDiarmid.  SIMULATED ANNEALING AND BOLTZMANN MACHINES A Stochastic Approach to Combinatorial Optimization and Neural Computing , 1991 .

[64]  Christodoulos A. Floudas,et al.  APROS: Algorithmic Development Methodology for Discrete-Continuous Optimization Problems , 1989, Oper. Res..

[65]  Philip E. Gill,et al.  Practical optimization , 1981 .

[66]  Jyrki Wallenius,et al.  Identifying Efficient Vectors: Some Theory and Computational Results , 1980, Oper. Res..

[67]  A. Charnes,et al.  Management Models and Industrial Applications of Linear Programming , 1961 .

[68]  Ajay K. Ray,et al.  Multiobjective optimization of steam reformer performance using genetic algorithm , 2000 .

[69]  C. Hwang,et al.  Fuzzy Multiple Objective Decision Making: Methods And Applications , 1996 .

[70]  J. Kula,et al.  The Fuzzy Experimental Multiobjective Optimization of the Electrochemical Reduction Process of Maleic Acid to Succinic Acid , 1992 .

[71]  Manfred Morari,et al.  Design of resilient processing plants—I Process design under consideration of dynamic aspects , 1982 .

[72]  Peter J. Fleming,et al.  Multiobjective optimization and multiple constraint handling with evolutionary algorithms. I. A unified formulation , 1998, IEEE Trans. Syst. Man Cybern. Part A.

[73]  Tony Hürlimann,et al.  Mathematical Modeling and Optimization , 1999 .

[74]  Manfred Morari,et al.  Design of resilient processing plants—III: A general framework for the assessment of dynamic resilience , 1983 .

[75]  Ching-Lai Hwang,et al.  Mathematical programming with multiple objectives: A tutorial , 1980, Comput. Oper. Res..

[76]  R. A. Mashelkar,et al.  Frontiers in Chemical Reaction Engineering , 1984 .

[77]  Arthur M. Geoffrion,et al.  Solving Bicriterion Mathematical Programs , 1967, Oper. Res..

[78]  Ajay K. Ray,et al.  MODELING OF AN INDUSTRIAL WIPED FILM POLY(ETHYLENE TEREPHTHALATE) REACTOR , 2001 .

[79]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[80]  M. Zeleny.  Linear Multiobjective Programming , 1974 .

[81]  K. P. Papalexandri,et al.  A parametric optimization approach for multiobjective engineering problems involving discrete decisions , 1998 .

[82]  Eric F. Wood,et al.  Multiobjective Decision Analysis With Engineering and Business Applications , 1983 .

[83]  William K. Smith.  Multiobjective decision analysis with engineering and business applications , 1983 .

[84]  Ajay K. Ray,et al.  Multiobjective optimization of the continuous casting process for poly (methyl methacrylate) using adapted genetic algorithm , 2000 .

[85]  R. M. Wajge,et al.  Simulation of an industrial semibatch nylon 6 reactor: optimal parameter estimation , 1994 .

[86]  Aatmeeyata,et al.  Simulation and Optimization of an Industrial Nylon 6 Reactor: A Review , 1998 .

[87]  Kalyanmoy Deb,et al.  An Investigation of Niche and Species Formation in Genetic Function Optimization , 1989, ICGA.

[88]  Coleman B. Brosilow,et al.  The modular multivariable controller: I: Steady‐state properties , 1992 .

[89]  G. Stephanopoulos,et al.  Multiobjective dynamic optimization of semibatch copolymerization reactors , 1982 .

[90]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[91]  David E. Goldberg,et al.  A niched Pareto genetic algorithm for multiobjective optimization , 1994, Proceedings of the First IEEE Conference on Evolutionary Computation. IEEE World Congress on Computational Intelligence.

[92]  A. M. Geoffrion.  Generalized Benders decomposition , 1972 .

[93]  D. N. Butala,et al.  An experimental study of multiobjective dynamic optimization of a semibatch copolymerization process , 1991 .

[94]  Yacov Y. Haimes,et al.  Multiobjective Decision Making: Theory and Methodology , 1983 .

[95]  André L. Tits,et al.  An application-oriented, optimization-based methodology for interactive design of engineering systems† , 1986 .

[96]  Santosh K. Gupta,et al.  Multiobjective dynamic optimization of a nonvaporizing nylon 6 batch reactor , 1994 .