Abstract
This paper presents a computational procedure for producing tailor made polymer resins, satisfying customers’ needs while operating with maximum profit. The case study is an industrial large-scale polymerization reactor. The molecular properties considered are melt index (MI), which measures the molecular weight distribution, and stress exponent (SE), which is related to polydispersity. An economic objective function is associated to a deterministic mathematical model and the resulting optimization problem is solved by genetic algorithm (GA), a stochastic method. The GA parameters for both binary and real codifications are tuned by means of the design of experiments. Attempting to achieve the global optimum, a hybrid method, which introduces process knowledge into GA random initial population, is proposed. The binary codification performs better than the real GA, especially with hybridization. Results show that the GA can satisfactorily predict tailor made polymer resins with profits up to 25% higher than the industrial practice.
Acknowledgements
The authors would like to acknowledge CAPES (Coordenação de Aperfeiçoamento de Pessoal de Nível Superior), CNPq (Conselho Nacional de Pesquisa) and FAPESB (Fundação de Amaro à Pesquisa do Estado da Bahia) for financial support, and to thank David Carroll and Kalyanmoy Deb for making available computational codes for GA implementation.
References
1. Agrawal, N., Rangaiah, G.P., Ray, A.K., Gupta, S.K., 2006. Multi-objective optimization of the operation of an industrial low-density polyethylene tubular reactor using genetic algorithm and its jumping gene adaptations. Industrial & Engineering Chemistry Research 45, 3182–3199.10.1021/ie050977iSuche in Google Scholar
2. Asteasuain, M., Brandolin, A., Sarmoria, C., Bandoni, A., 2004. Simultaneous design and control of a semibatch styrene polymerization reactor. Industrial & Engineering Chemistry Research 43, 5233–5247.10.1021/ie040021sSuche in Google Scholar
3. Beasley, D., Bull, D.R., Martin, R.R., 1993. An overview of genetic algorithms: Part 1, fundamentals. University Computing 15, 58–69.Suche in Google Scholar
4. Burkert, J.F.M., Maugeri, F., Rodrigues, M.I., 2004. Optimization of extracellular lipase production by Geotrichum sp. using factorial design. Bioresource Technology 91, 77–84.10.1016/S0960-8524(03)00152-4Suche in Google Scholar
5. Carroll, D.L., 2001. FORTRAN Genetic Algorithm (GA) Driver. http://www.cuaerospace.com/Technology/GeneticAlgorithm/GADriverFreeVersion.aspx. Accessed 4 June 2014.Suche in Google Scholar
6. Chakravarthy, S.S.S., Saraf, D.N., Gupta, S.K., 1997. Use of genetic algorithms in the optimization of free radical polymerizations exhibiting the Trommsdorff effect. Journal of Applied Polymer Science 63, 529–548.10.1002/(SICI)1097-4628(19970124)63:4<529::AID-APP14>3.0.CO;2-SSuche in Google Scholar
7. Costa, C.B.B., Wolf Maciel, M.R., Maciel Filho, R., 2005. Factorial design technique applied to genetic algorithm parameters in a batch cooling crystallization optimisation. Computers & Chemical Engineering 29. 2229–2241.10.1016/j.compchemeng.2005.08.005Suche in Google Scholar
8. Costa, C.B.B., Rivera, E.A.C., Rezende, M.C.A.F., Wolf Maciel, M.R., Maciel Filho, R. 2007. Prior detection of genetic algorithm significant parameters: coupling factorial design technique to genetic algorithm. Chemical Engineering Science 62, 4780–4801.10.1016/j.ces.2007.03.042Suche in Google Scholar
9. Costa, M.C.B., Jardini, A.L., Embiruçu, M., Maciel, R. 2008. Empirical models for end-use properties prediction of LDPE: application in the flexible plastic packaging industry. Materials Research 11, 23–30.10.1590/S1516-14392008000100005Suche in Google Scholar
10. Curteanu, S., Leon, F., Galea, D., 2006. Alternatives for multiobjective optimization of a polymerization process. Journal of Applied Polymer Science 100, 3680–3695.10.1002/app.23205Suche in Google Scholar
11. Deb, K., 2000. An efficient constraint handling method for genetic algorithm. Computer Methods in Applied Mechanics and Engineering 186, 311–338.10.1016/S0045-7825(99)00389-8Suche in Google Scholar
12. Deb, K., 2001. Single-objective GA code in C (for Windows and Linux). http://www.iitk.ac.in/kangal/codes.shtml. Accessed 4 June 2014.Suche in Google Scholar
13. Deb, K., Goyal, M., 1996. A combined genetic adaptive search (GeneAS) for engineering design. Computer Science and Informatics 26, 30–45.Suche in Google Scholar
14. Embiruçu, M., Lima, E.L., Pinto, J.C., 2000. Continuous soluble Ziegler-Natta ethylene polymerizations in reactor trains. I. Mathematical modeling. Journal of Applied Polymer Science 77, 1574–1590.10.1002/1097-4628(20000815)77:7<1574::AID-APP19>3.0.CO;2-#Suche in Google Scholar
15. Embiruçu, M., Prata, D.M., Lima, E.L., Pinto, J.C., 2008. Continuous soluble Ziegler-Natta ethylene polymerizations in reactor trains, 2–Estimation of kinetic parameters from industrial data. Macromolecular Reaction Engineering 2, 142–160.10.1002/mren.200700046Suche in Google Scholar
16. Feng, G., Liu, M., Wang, G., 2014. Genetic algorithm based optimal placement of PIR sensors for human motion localization. Optimization and Engineering 15, 643–656.10.1007/s11081-012-9209-zSuche in Google Scholar
17. Ghrayeb, O., Phojanamongkolkij, N., 2005. A study of optimizing the performance of genetic algorithms using design-of-experiments in job-shop scheduling application. International Journal of Industrial Engineering: Theory Applications and Practice 12, 37–44.Suche in Google Scholar
18. Hanai, T., Ohki, T., Honda, H., Kobayashi, T., 2003. Analysis of initial conditions for polymerization reaction using fuzzy neural network and genetic algorithm. Computers & Chemical Engineering 27, 1011–1019.10.1016/S0098-1354(03)00034-6Suche in Google Scholar
19. Kasat, R.B., Ray, A., Gupta, S.K., 2003. Applications of genetic algorithm in polymer science and engineering. Materials and Manufacturing Processes 18, 523–532.10.1081/AMP-120022026Suche in Google Scholar
20. Konak, A., Coit, D.W., Smith, A.E., 2006. Multi-objective optimization using genetic algorithms: a tutorial. Reliability Engineering & System Safety 91, 992–1007.10.1016/j.ress.2005.11.018Suche in Google Scholar
21. Lemoine-Nava, R., Flores-Tlacuahauc, A., 2006. optimal operating policies for the nitroxide-mediated radical polymerization of styrene in a semibatch reactor. Industrial & Engineering Chemistry Research 45, 4637–4652.10.1021/ie050849uSuche in Google Scholar
22. Lombardi, G., Mengali, G., Beux, F., 2006. A hybrid genetic based optimization procedure for aircraft conceptual analysis. Optimization and Engineering 7, 151–171.10.1007/s11081-006-6837-1Suche in Google Scholar
23. Mitra, K., Majumdar, S., Raha, S., 2004. Multiobjective optimization of an epoxy polymerization process using the elitist genetic algorithm. Industrial & Engineering Chemistry Research 43, 6055–6063.10.1021/ie034153hSuche in Google Scholar
24. Pontes, K.V., Maciel, R., Cavalcanti, M., Embiruçu, M., 2010. Modeling and simulation of ethylene and 1-butene copolymerization in solution with a Ziegler-Natta catalyst. International Journal of Chemical Reactor Engineering 8, A7.10.2202/1542-6580.2023Suche in Google Scholar
25. Pontes, K.V., Maciel, R., Embiruçu, M., 2011. Process analysis and optimization mapping through design of experiments and its application to a polymerization process. Brazilian Journal of Chemical Engineering 28, 137–150.10.1590/S0104-66322011000100015Suche in Google Scholar
26. Pontes, K.V., Maciel, R., Embiruçu, M., Hartwich, A., Marquardt, W., 2008. Optimal operating policies for tailored linear polyethylene resins production. AICHE Journal 54, 2346–2365.10.1002/aic.11566Suche in Google Scholar
27. Ramteke, M., Gupta, S., 2011. Kinetic modeling and reactor simulation and optimization of industrially important polymerization processes: a perspective. International Journal of Chemical Reactor Engineering 9, R1.10.1515/1542-6580.2594Suche in Google Scholar
28. Rangaiah, G.P., 2001. Evaluation of genetic algorithms and simulated annealing for phase equilibrium and stability problems. Fluid Phase Equilibria 187–188, 83–109.10.1016/S0378-3812(01)00528-3Suche in Google Scholar
29. Silva, C.M., Biscaia, E.C., 2003. Genetic algorithm development for multi-objective optimization of batch free-radical polymerization reactors. Computers & Chemical Engineering 27, 1329–1344.10.1016/S0098-1354(03)00056-5Suche in Google Scholar
30. Sundaram, B.S., Upreti, S.R., Lohi, A., 2005. Optimal control of batch MMA polymerization with specified time, monomer conversion, and average polymer molecular weights. Macromolecular Theory and Simulations 14, 374–386.10.1002/mats.200500018Suche in Google Scholar
31. Zhang, J., 2004. A reliable neural network model based optimal control strategy for a batch polymerization reactor. Industrial & Engineering Chemistry Research 43, 1030–1038.10.1021/ie034136sSuche in Google Scholar
32. Zhou, F., Gupta, S.K., Ray, A.K., 2000. Multiobjective optimization of the continuous casting process for poly (methyl methacrylate) using adapted genetic algorithm. Journal of Applied Polymer Science 78, 1439–1458.10.1002/1097-4628(20001114)78:7<1439::AID-APP150>3.0.CO;2-7Suche in Google Scholar
©2016 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- Review
- Novel Membrane Reactor Concepts for Hydrogen Production from Hydrocarbons: A Review
- Research Articles
- Modeling and Simulation Study of an Industrial Radial Moving Bed Reactor for Propane Dehydrogenation Process
- Oxidative Degradation of Methylene Blue in Aqueous Medium Catalyzed by Lab Prepared Nickel Hydroxide
- CFD Modelling of a Hollow Fibre Membrane for CO2 Removal by Aqueous Amine Solutions of MEA, DEA and MDEA
- Performance Study of a Thermally Double Coupled Multi-Tubular Reactor by Considering the Effect of Flow Type Patterns
- Radiative Three-Dimensional Flow with Chemical Reaction
- Three-Phase Model of a Fluidized-Bed Catalytic Reactor for Polyethylene Synthesis
- Study on the Effect of Nickel Doping on Mo-Bi Based Catalyst for Selective Oxidation of Isobutene to Methacrolein
- DM Water Plant Sedimentation as a Cheap and Waste Source of Catalyst for Biodiesel Production
- Recovery of Biogas from Meat Industry Wastewater Using Continuously Stirred Tank Reactor (CSTR): Modeling and Optimization
- Comparison of CFD Simulation and Simplified Modeling of a Fluidized Bed CO2 Capture Reactor
- Kinetic Study for Platinum Extraction from Spent Catalyst in Cyanide Solution at High Temperatures
- Hydroisomerization of Biomass Derived n-Hexadecane Towards Diesel Pool: Effect of Selective Removal External Surface Sites from Pt/ZSM-22
- Heat Flux and Variable Thermal Conductivity Effects on Casson Flow and Heat Transfer due to an Exponentially Stretching Sheet with Viscous Dissipation and Heat Generation
- Optimization of Nickel Chemical Extraction from Hazardous Residue
- Green Approach for Biodiesel Production from Jojoba Oil Supported by Process Modeling and Simulation
- Differentiating Process Performance of Various Coagulants in Removal of Congo red and Orange G Dyes
- CFD Simulation of Hydrodynamic of a Bubble Column Reactor Operating in Churn-Turbulent Regime and Effect of Gas Inlet Distribution on System Characteristics
- Transformation of Phenolic Compounds by Fe(III) in the Aqueous Solution in Dark and Under Irradiation
- Transient Predictive Model for Dynamic Analysis, Kinetic Study, and Reactor Design of Triglycerides Transesterification to Biodiesel
- Screening of Alternative Carbon Sources for Recombinant Protein Production in Pichia pastoris
- Optimization of a Large Scale Industrial Reactor Towards Tailor Made Polymers Using Genetic Algorithm
- Model of Reactive Transport within a Light Photocatalytic Textile
- Preparation of Chitosan based Nanofibers: Optimization and Modeling
- Adsorption of As (III) on Iron Coated Quartz Sand: Influence of Temperature on the Equilibrium Isotherm, Thermodynamics and Isosteric Heat of Adsorption Analysis
- Resistance Characteristics of Coal Slime in Pipe Flow at High Pressure
- Activity Comparison of Acidic Resins in the Production of Valuable Glycerol Acetates
- Bulk Polymerization of Styrene using Multifunctional Initiators in a Batch Reactor: A Comprehensive Mathematical Model
- An Effective Reaction Rate Model for Gas-Solid Reactions with High Intra-Particle Diffusion Resistance
- Heart-Like Micro-Flow Mixer
- Hydrogen Production by Hydrolysis of NaBH4 with Cr-Ni-W-B Catalyst: Effects of Cold Plasma and Chromium Content
- Prediction of Reactivity Ratios in Free Radical Copolymerization from Monomer Resonance–Polarity (Q–e) Parameters: Genetic Programming-Based Models
- Steady-State Modeling of Pt-Catalyzed H2 Combustion in a Monolithic Reactor: From Micro- to Macro-kinetics
- Premixed Methanol–Air Combustion Characteristics in a Mini-scale Catalytic Combustor
- Kinetic Modeling of VOC Photocatalytic Degradation Using a Process at Different Reactor Configurations and Scales
- Improvement of Activated Sludge Process Using a Nonlinear PI Controller Design via Adaptive Gain
- Modeling and Simulation of a Pilot-Scale Bubbling Fluidized Bed Gasifier for the Gasification of High Ash Indian Coal Using Eulerian Granular Approach
- Performance of a Catalytic Gas–Solid Fluidized Bed Reactor in the Presence of Interparticle Forces
- Mathematical Modeling of Biodiesel Production under Intense Agitation
- Extended Aeration Activated Sludge Reactor (EAASR) for Removal of Nitrobenzene: Air Stripped or Biologically Removed?
- CFD Modeling of Algae Flash Pyrolysis in the Batch Fluidized Bed Reactor Including Heat Carrier Particles
- A Robust Extended State Observer for the Estimation of Concentration and Kinetics in a CSTR
- Dynamic Modeling of CATOFIN® Fixed-Bed Iso-Butane Dehydrogenation Reactor for Operational Optimization
- Effect of Biomass Compositions on Combustion Kinetic Parameters using Response Surface Methodology
- Short Communications
- Discussions on Particle Flux Measurement in Gas-Solids Risers
- Use of New Regeneration Processes for Thermolabile Amines
- Oxidative-Extractive Desulfurization of Liquid Fuel by Dimethyl Sulfoxide and ZnCl2 Based Ionic Liquid
- Corrigendum
- Corrigendum to: Performance Analysis of Immobilized Enzyme Semifluidised Bed Bioreactors
Artikel in diesem Heft
- Frontmatter
- Review
- Novel Membrane Reactor Concepts for Hydrogen Production from Hydrocarbons: A Review
- Research Articles
- Modeling and Simulation Study of an Industrial Radial Moving Bed Reactor for Propane Dehydrogenation Process
- Oxidative Degradation of Methylene Blue in Aqueous Medium Catalyzed by Lab Prepared Nickel Hydroxide
- CFD Modelling of a Hollow Fibre Membrane for CO2 Removal by Aqueous Amine Solutions of MEA, DEA and MDEA
- Performance Study of a Thermally Double Coupled Multi-Tubular Reactor by Considering the Effect of Flow Type Patterns
- Radiative Three-Dimensional Flow with Chemical Reaction
- Three-Phase Model of a Fluidized-Bed Catalytic Reactor for Polyethylene Synthesis
- Study on the Effect of Nickel Doping on Mo-Bi Based Catalyst for Selective Oxidation of Isobutene to Methacrolein
- DM Water Plant Sedimentation as a Cheap and Waste Source of Catalyst for Biodiesel Production
- Recovery of Biogas from Meat Industry Wastewater Using Continuously Stirred Tank Reactor (CSTR): Modeling and Optimization
- Comparison of CFD Simulation and Simplified Modeling of a Fluidized Bed CO2 Capture Reactor
- Kinetic Study for Platinum Extraction from Spent Catalyst in Cyanide Solution at High Temperatures
- Hydroisomerization of Biomass Derived n-Hexadecane Towards Diesel Pool: Effect of Selective Removal External Surface Sites from Pt/ZSM-22
- Heat Flux and Variable Thermal Conductivity Effects on Casson Flow and Heat Transfer due to an Exponentially Stretching Sheet with Viscous Dissipation and Heat Generation
- Optimization of Nickel Chemical Extraction from Hazardous Residue
- Green Approach for Biodiesel Production from Jojoba Oil Supported by Process Modeling and Simulation
- Differentiating Process Performance of Various Coagulants in Removal of Congo red and Orange G Dyes
- CFD Simulation of Hydrodynamic of a Bubble Column Reactor Operating in Churn-Turbulent Regime and Effect of Gas Inlet Distribution on System Characteristics
- Transformation of Phenolic Compounds by Fe(III) in the Aqueous Solution in Dark and Under Irradiation
- Transient Predictive Model for Dynamic Analysis, Kinetic Study, and Reactor Design of Triglycerides Transesterification to Biodiesel
- Screening of Alternative Carbon Sources for Recombinant Protein Production in Pichia pastoris
- Optimization of a Large Scale Industrial Reactor Towards Tailor Made Polymers Using Genetic Algorithm
- Model of Reactive Transport within a Light Photocatalytic Textile
- Preparation of Chitosan based Nanofibers: Optimization and Modeling
- Adsorption of As (III) on Iron Coated Quartz Sand: Influence of Temperature on the Equilibrium Isotherm, Thermodynamics and Isosteric Heat of Adsorption Analysis
- Resistance Characteristics of Coal Slime in Pipe Flow at High Pressure
- Activity Comparison of Acidic Resins in the Production of Valuable Glycerol Acetates
- Bulk Polymerization of Styrene using Multifunctional Initiators in a Batch Reactor: A Comprehensive Mathematical Model
- An Effective Reaction Rate Model for Gas-Solid Reactions with High Intra-Particle Diffusion Resistance
- Heart-Like Micro-Flow Mixer
- Hydrogen Production by Hydrolysis of NaBH4 with Cr-Ni-W-B Catalyst: Effects of Cold Plasma and Chromium Content
- Prediction of Reactivity Ratios in Free Radical Copolymerization from Monomer Resonance–Polarity (Q–e) Parameters: Genetic Programming-Based Models
- Steady-State Modeling of Pt-Catalyzed H2 Combustion in a Monolithic Reactor: From Micro- to Macro-kinetics
- Premixed Methanol–Air Combustion Characteristics in a Mini-scale Catalytic Combustor
- Kinetic Modeling of VOC Photocatalytic Degradation Using a Process at Different Reactor Configurations and Scales
- Improvement of Activated Sludge Process Using a Nonlinear PI Controller Design via Adaptive Gain
- Modeling and Simulation of a Pilot-Scale Bubbling Fluidized Bed Gasifier for the Gasification of High Ash Indian Coal Using Eulerian Granular Approach
- Performance of a Catalytic Gas–Solid Fluidized Bed Reactor in the Presence of Interparticle Forces
- Mathematical Modeling of Biodiesel Production under Intense Agitation
- Extended Aeration Activated Sludge Reactor (EAASR) for Removal of Nitrobenzene: Air Stripped or Biologically Removed?
- CFD Modeling of Algae Flash Pyrolysis in the Batch Fluidized Bed Reactor Including Heat Carrier Particles
- A Robust Extended State Observer for the Estimation of Concentration and Kinetics in a CSTR
- Dynamic Modeling of CATOFIN® Fixed-Bed Iso-Butane Dehydrogenation Reactor for Operational Optimization
- Effect of Biomass Compositions on Combustion Kinetic Parameters using Response Surface Methodology
- Short Communications
- Discussions on Particle Flux Measurement in Gas-Solids Risers
- Use of New Regeneration Processes for Thermolabile Amines
- Oxidative-Extractive Desulfurization of Liquid Fuel by Dimethyl Sulfoxide and ZnCl2 Based Ionic Liquid
- Corrigendum
- Corrigendum to: Performance Analysis of Immobilized Enzyme Semifluidised Bed Bioreactors