Evaluation of Covariance Matrix Adaptation Evolution Strategy, Shuffled Complex Evolution and Firefly Algorithms for phase stability, phase equilibrium and chemical equilibrium problems

Chemical Engineering Research and Design

Volumn 90, Issue 12, 2012, Pages 2051-2071

  Fateen, Seif Eddeen K ^a   Bonilla Petriciolet, Adrián ^b   Rangaiah, Gade Pandu ^c  

^a CAIRO UNIVERSITY   (Egypt)

^b INSTITUTO TECNOLÓGICO DE AGUASCALIENTES   (Mexico)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Chemical equilibrium calculations; Covariant Matrix Adaptation Evolution Strategy; Phase equilibrium calculations; Phase stability analysis; Shuffled Complex Evolution

Indexed keywords

CHEMICAL EQUILIBRIUM CALCULATIONS; EVOLUTION STRATEGIES; PHASE EQUILIBRIUM CALCULATION; PHASE STABILITY ANALYSIS; SHUFFLED COMPLEX EVOLUTION;

BIOLUMINESCENCE; EVOLUTIONARY ALGORITHMS; GLOBAL OPTIMIZATION; PHASE STABILITY;

PHASE EQUILIBRIA;

EID: 84870247799     PISSN: 02638762     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cherd.2012.04.011     Document Type: Article

References (57)

1. Avami A., Saboohi Y. A simultaneous method for phase identification and equilibrium calculations in reactive mixtures. Chem. Eng. Res. Des. 2011, 89:1901-1908.
2. Bayer P., Finkel M. Optimization of concentration control by evolution strategies: formulation, application, and assessment of remedial solutions. Water Resour. Res. 2007, 43:W02410.
3. Bonilla-Petriciolet A., Rangaiah G.P., Segovia-Hernández J.G. Constrained and unconstrained Gibbs free energy minimization in reactive systems using genetic algorithm and differential evolution with tabu list. Fluid Phase Equilib. 2011, 300:120-134.
4. Bonilla-Petriciolet A., Segovia-Hernández J.G. A comparative study of particle swarm optimization and its variants for phase stability and equilibrium calculations in multicomponent reactive and non-reactive systems. Fluid Phase Equilib. 2010, 289:110-121.
5. Bonilla-Petriciolet A., Vázquez-Román R., Iglesias-Silva A.G., Hall K.R. Performance of stochastic global optimization methods in the calculation of phase stability analyses for nonreactive and reactive mixtures. Ind. Eng. Chem. Res. 2006, 45:4764-4772.
6. Burgos-Solórzano G.I., Brennecke J.F., Stadtherr M.A. Validated computing approach for high-pressure chemical and multiphase equilibrium. Fluid Phase Equilib. 2004, 219:245-255.
7. Burkardt, J., 2008. The LINPACK Benchmark. (accessed 08.09.11). http://people.sc.fsu.edu/~jburkardt/m_src/linpack_bench/linpack_bench.html.
8. Cheung A., Adjiman C.S., Kolar P., Ishikawa T. Global optimization for clusters of flexible molecules-solvent-solute interaction energy calculations. Fluid Phase Equilib. 2002, 194:169-183.
9. Donckels, B., 2011. Optimization Algorithms. (accessed 08.07.11). http://biomath.ugent.be/~brecht/index.html.
10. Duan Q., Sorooshian S., Gupta V. Effective and efficient global optimization for conceptual rainfall-runoff models. Water Resour. Res. 1992, 28:1015-1031.
11. Gandomi A.H., Yang X.-S., Alavi A.H. Mixed variable structural optimization using Firefly Algorithm. Comput. Struct. 2011, 89:2325-2336.
12. Giannakouris G., Vassiliadis V., Dounias G. Experimental Study on a Hybrid Nature-Inspired Algorithm for Financial Portfolio Optimization Artificial Intelligence: Theories, Models and Applications 2010, 101-111. Springer, Berlin/Heidelberg. S. Konstantopoulos, S. Perantonis, V. Karkaletsis, C. Spyropoulos, G. Vouros (Eds.).
13. Hansen N. The CMA Evolution Strategy: A Comparing Review - Towards a New Evolutionary Computation 2006, 75-102. Springer, Berlin/Heidelberg. J. Lozano, P. Larrañaga, I. Inza, E. Bengoetxea (Eds.).
14. Hansen, N., 2011. The CMA Evolution Strategy. (accessed 08.09.11). http://www.lri.fr/~hansen/cmaesintro.html.
15. Hansen N., Niederberger A.S.P., Guzzella L., Koumoutsakos P. A method for handling uncertainty in evolutionary optimization with an application to feedback control of combustion. IEEE Trans. Evol. Comput. 2009, 13:180-197.
16. Hansen N., Ostermeier A. Completely derandomized self-adaptation in evolution strategies. Evol. Comput. 2001, 9:159-195.
17. Harding S.T., Floudas C.A. Phase stability with cubic equations of state: a global optimization approach. AIChE J. 2000, 46:1422-1440.
18. Hohm T., Zitzler E. Multicellular pattern formation: parameter estimation for ODE-based gene regulatory network models. IEEE Eng. Med. Biol. 2007, 28:52-57.
19. Jalali F., Seader J.D. Homotopy continuation method in multi-phase multi-reaction equilibrium systems. Comput. Chem. Eng. 1999, 23:1319-1331.
20. Jalali F., Seader J.D., Khaleghi S. Global solution approaches in equilibrium and stability analysis using homotopy continuation in the complex domain. Comput. Chem. Eng. 2008, 32:2333-2345.
21. Jastrebski G.A., Arnold D.V. Improving evolution strategies through active covariance matrix adaptation. IEEE Congress on Evolutionary Computation 2006, 2814-2821.
22. McDonald C.M., Floudas C.A. Global optimization for the phase and chemical equilibrium problem: application to the NRTL equation. Comput. Chem. Eng. 1995, 19:1111-1141.
23. Michelsen M.L. The isothermal flash problem. Part I. Stability. Fluid Phase Equilib. 1982, 9:1-19.
24. Nichita D.V., Garcia-Sanchez F., Gomez S. Phase stability analysis using the PC-SAFT equation of state and the tunneling global optimization method. Chem. Eng. J. 2008, 140:509-520.
25. Nichita D.V., Gomez S., Luna-Ortiz E. Multiphase equilibria calculation by direct minimization of Gibbs free energy using tunneling global optimization method. J. Can. Petrol. Technol. 2004, 43:13-16.
26. Nichita D.V., Gomez S., Luna E. Multiphase equilibria calculation by direct minimization of Gibbs free energy with a global optimization method. Comput. Chem. Eng. 2002, 26:1703-1724.
27. Nichita D.V., Gomez S., Luna E. Phase stability analysis with cubic equations of state by using a global optimization method. Fluid Phase Equilib. 2002, 194:411-437.
28. Niewierowicz T., Escarela-Perez R., Campero-Littlewood E. Hybrid genetic algorithm for the identification of high-order synchronous machine two-axis equivalent circuits. Comput. Electr. Eng. 2003, 29:505-522.
29. Rahman I., Das A.K., Mankar R.B., Kulkarni B. Evaluation of repulsive particle swarm method for phase equilibrium and phase stability problems. Fluid Phase Equilib. 2009, 282:65-67.
30. Rangaiah G.P. Evaluation of genetic algorithms and simulated annealing for phase equilibrium and stability problems. Fluid Phase Equilib. 2001, 187-188:83-109.
31. Rangaiah G.P. Stochastic Global Optimization: Techniques and Applications in Chemical Engineering 2010, World Scientific, Singapore.
32. Reynolds D., Mulholland A.J., Gomatam J. Calculation of chemical and phase equilibria via simulated annealing. J. Math. Chem. 1997, 22:25-27.
33. Ros R., Hansen N. A simple modification in CMA-ES achieving linear time and space complexity. 10th International Conference on Parallel Problem Solving from Nature 2008, 296-305.
34. Rossi C.C.R.S., Berezuk M.E., Cardozo-Filho L., Guirardello R. Simultaneous calculation of chemical and phase equilibria using convexity analysis. Comput. Chem. Eng. 2011, 35:1226-1237.
35. Rossi C.C.R.S., Cardozo-Filho L., Guirardello R. Gibbs free energy minimization for the calculation of chemical and phase equilibrium using linear programming. Fluid Phase Equilib. 2009, 278:117-128.
36. Rudolph G. Convergence analysis of canonical genetic algorithms. IEEE Trans. Neural Net. 1994, 5:96-101.
37. Sayadi M.K., Ramezanian R., Ghaffari-Nasab N. A discrete firefly meta-heuristic with local search for makespan minimization in permutation flow shop scheduling problems. Int. J. Ind. Eng. Comput. 2010, 1:1-10.
38. Seider W.D., Widagdo S. Multiphase equilibria of reactive systems. Fluid Phase Equilib. 1996, 123:283-303.
39. Srinivas M., Rangaiah G.P. Implementation and evaluation of random tunneling algorithm for chemical engineering applications. Comput. Chem. Eng. 2006, 30:1400-1415.
40. Srinivas M., Rangaiah G.P. Differential evolution with tabu list for global optimization and its application to phase equilibrium and parameter estimation problems. Ind. Eng. Chem. Res. 2007, 46:3410-3421.
41. Srinivas M., Rangaiah G.P. A study of differential evolution and tabu search for benchmark, phase equilibrium and phase stability problems. Comput. Chem. Eng. 2007, 31:760-772.
42. Srinivas M., Rangaiah G.P. Differential evolution with tabu list for global optimization: evalution of two versions on benchmark and phase stability problems. Stochastic Global Optimization: Techniques and Applications in Chemical Engineering 2010, 465-504. World Scientific, Singapore. G.P. Rangaiah (Ed.).
43. Sun A.C., Seider W.D. Homotopy-continuation method for stability analysis in the global minimization of the Gibbs free energy. Fluid Phase Equilib. 1995, 103:213-249.
44. Teh Y.S., Rangaiah G.P. A study of equation-solving and gibbs free energy minimization methods for phase equilibrium calculations. Trans. IChemE 2002, 80:745-759.
45. Teh Y.S., Rangaiah G.P. Tabu search for global optimization of continuous functions with application to phase equilibrium calculations. Comput. Chem. Eng. 2003, 27:1665-1679.
46. Tessier S.R., Brennecke J.F., Stadtherr M.A. Reliable phase stability analysis for excess Gibbs energy models. Chem. Eng. Sci. 2000, 55:1785-1796.
47. Vrugt J.A., Gupta H.V., Bastidas L.A., Bouten W., Sorooshian S. Effective and efficient algorithm for multiobjective optimization of hydrologic models. Water Resour. Res. 2003, 39:1214.
48. Vrugt J.A., Gupta H.V., Bouten W., Sorooshian S. A Shuffled Complex Evolution Metropolis algorithm for optimization and uncertainty assessment of hydrologic model parameters. Water Resour. Res. 2003, 39:1201.
49. Wakeham W.A., Stateva R.P. Numerical solution of the isothermal, isobaric phase equilibrium problem. Rev. Chem. Eng. 2004, 20:1-56.
50. Wasylkiewicz S.K., Ung S. Global phase stability analysis for heterogeneous reactive mixtures and calculation of reactive liquid-liquid and vapor-liquid-liquid equilibria. Fluid Phase Equilib. 2000, 175:253-272.
51. Weise, T., 2008. Global Optimization Algorithm: Theory and Application. (accessed 09.08.11). http://www.it-weise.de/projects/book.pdf.
52. Wilson J.W., Schlup P., Lunacek M., Whitley D., Bartels R.A. Calibration of liquid crystal ultrafast pulse shaper with common-path spectral interferometry and application to coherent control with a covariance matrix adaptation evolutionary strategy. Rev. Sci. Instrum. 2008, 79:033103.
53. Xu G., Brennecke J.F., Stadtherr M.A. Reliable computation of phase stability and equilibrium from the SAFT equation of state. Ind. Eng. Chem. Res. 2002, 41:938-952.
54. Yang, X.-S., 2011. Firefly Algorithm. (accessed on 08.09.11). http://www.mathworks.com/matlabcentral/fileexchange/29693-firefly-algorithm.
55. Yang X.S. Firefly Algorithm, Nature-Inspired Metaheuristic Algorithms 2007, Wiley Online Library, pp. 79-90.
56. Zhang H., Bonilla-Petriciolet A., Rangaiah G. A review on global optimization methods for phase equilibrium modeling and calculations. Open Thermodyn. J. 2011, 5(Suppl. 1-M7):71-92.
57. Zhang H., Fernández-Vargas J.A., Rangaiah G.P., Bonilla-Petriciolet A., Segovia-Hernández J.G. Evaluation of integrated differential evolution and unified bare-bones particle swarm optimization for phase equilibrium and stability problems. Fluid Phase Equilib. 2011, 310:129-141.