Applications of the Non-Dominated Sorting Genetic Algorithm (NSGA) in Chemical Reaction Engineering

Most of the chemical reaction engineering optimization problems encounters more than one objective functions. A considerable amount of research has been reported on the multiobjective optimization of various chemical reactors using various non-dominated sorting genetic algorithms. This is reviewed in this paper. The introduction of the topic is given at the beginning, followed by the description of multi-objective optimization and Pareto set. We have then discussed various non-dominated sorting genetic algorithms and its applications in chemical reaction engineering. Some comments are also made on the future research direction in this area.

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

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

[3]  Lothar Thiele,et al.  Comparison of Multiobjective Evolutionary Algorithms: Empirical Results , 2000, Evolutionary Computation.

[4]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[5]  A. Osyczka,et al.  A new method to solve generalized multicriteria optimization problems using the simple genetic algorithm , 1995 .

[6]  Ajay K. Ray,et al.  Optimal design and operation of an industrial hydrogen plant for multiple objectives , 2002 .

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

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

[9]  Ajay K. Ray,et al.  Triple-Objective Optimization of an Industrial Hydrogen Plant , 2001 .

[10]  R. S. Laundy,et al.  Multiple Criteria Optimisation: Theory, Computation and Application , 1989 .

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

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

[13]  Prabhat Hajela,et al.  Genetic Algorithms in Structural Topology Optimization , 1993 .

[14]  Said S.E.H. Elnashaie,et al.  Modelling, Simulation and Optimization of Industrial Fixed Bed Catalytic Reactors , 1994 .

[15]  Jared L. Cohon,et al.  Multiobjective programming and planning , 2004 .

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

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

[18]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[19]  Ajay K. Ray,et al.  Multi-objective optimization of industrial hydrogen plants , 2001 .

[20]  Ajay K. Ray,et al.  APPLICATIONS OF MULTIOBJECTIVE OPTIMIZATION IN CHEMICAL ENGINEERING , 2000 .

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

[22]  Kus Hidajat,et al.  Multiobjective Optimization of Simulated Countercurrent Moving Bed Chromatographic Reactor (SCMCR) for MTBE Synthesis , 2002 .

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

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

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

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

[27]  Harvey C. Charbonneau,et al.  Industrial Quality Control , 1978 .

[28]  Lothar Thiele,et al.  An evolutionary algorithm for multiobjective optimization: the strength Pareto approach , 1998 .

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

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

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

[32]  Ajay K. Ray,et al.  Multiobjective optimization of an industrial styrene reactor , 2003, Comput. Chem. Eng..

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

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

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

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

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

[38]  G. P. Rangaiah,et al.  Simulation and Multiobjective Optimization of an Industrial Hydrogen Plant Based on Refinery Off-Gas , 2002 .

[39]  村田 忠彦,et al.  Genetic algorithms for multi-objective optimization , 1997 .

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

[41]  Gary B. Lamont,et al.  Multiobjective evolutionary algorithms: classifications, analyses, and new innovations , 1999 .

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

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

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

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

[46]  Rahul B. Kasat,et al.  Multiobjective Optimization of Industrial FCC Units Using Elitist Nondominated Sorting Genetic Algorithm , 2002 .

[47]  J. Yates,et al.  Multiplicity of the steady state in fluidised bed reactors — I. , 1973 .

[48]  Santosh K. Gupta,et al.  Multi-objective optimization of an industrial fluidized-bed catalytic cracking unit (FCCU) using genetic algorithm (GA) with the jumping genes operator , 2003, Comput. Chem. Eng..

[49]  DebK.,et al.  A fast and elitist multiobjective genetic algorithm , 2002 .

[50]  R. E. Kalman,et al.  Optimum Seeking Methods. , 1964 .

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

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

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

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

[55]  Ajay K. Ray,et al.  Optimization of Styrene Reactor Design for Two Objectives using a Genetic Algorithm , 2003 .

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

[57]  Weifang Yu,et al.  Optimal operation of reactive simulated moving bed and Varicol systems , 2003 .

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

[59]  Gade Pandu Rangaiah,et al.  Multiobjective Optimization of an Industrial Ethylene Reactor Using a Nondominated Sorting Genetic Algorithm , 2005 .

[60]  J. Terno.  M. Zeleny, Linear Multiobjective Programming. (Lecture Notes in Economics and Mathematical Systems, Vol. 95) X + 220 S. m. 34 Fig. Berlin/Heidelberg/New York 1974. Springer‐Verlag. Preis brosch. DM 20,– , 1975 .

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

[62]  Frank Kursawe,et al.  A Variant of Evolution Strategies for Vector Optimization , 1990, PPSN.

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

[64]  S. Deming.  Multiple-criteria optimization , 1991 .

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

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

[67]  Hajime Kita,et al.  Multi-Objective Optimization by Means of the Thermodynamical Genetic Algorithm , 1996, PPSN.

[68]  Jeffrey Horn,et al.  Multiobjective Optimization Using the Niched Pareto Genetic Algorithm , 1993 .

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

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

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

[72]  Anjana D. Nandasana,et al.  Dynamic Model of an Industrial Steam Reformer and Its Use for Multiobjective Optimization , 2003 .

[73]  David W. Corne,et al.  Approximating the Nondominated Front Using the Pareto Archived Evolution Strategy , 2000, Evolutionary Computation.

[74]  Gary B. Lamont,et al.  Evolutionary Algorithms for Solving Multi-Objective Problems , 2002, Genetic Algorithms and Evolutionary Computation.

[75]  S.S.E.H. Elnashaie,et al.  Multiplicity of steady states in fluidized bed reactors—V: The effect of catalyst decay , 1980 .

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

[77]  Kalyanmoy Deb,et al.  Optimization for Engineering Design: Algorithms and Examples , 2004 .

[78]  S. Gupta,et al.  Multi‐Objective Optimization of Semi‐Batch Copolymerization Reactors Using Adaptations of Genetic Algorithm , 2004 .

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

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

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

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

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

[84]  C. Hwang.  Multiple Objective Decision Making - Methods and Applications: A State-of-the-Art Survey , 1979 .

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

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

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