Differential Evolution performances for the solution of mixed-integer constrained process engineering problems

Applied Soft Computing Journal

Volumn 11, Issue 1, 2011, Pages 399-409

  Ponsich, A ^a   Coello, C A Coello ^a  

^a DEPARTAMENTO DE FÍSICA   (Mexico)

Author keywords

Differential Evolution; Mixed integer constrained optimization; Process engineering

Indexed keywords

ANALYTICAL FORMULATION; BATCH PLANT DESIGNS; BRANCH AND BOUNDS; COMPUTATIONAL PERFORMANCE; COMPUTATIONAL RESULTS; CONSTRAINED PROCESS; CONSTRAINT HANDLING; DIFFERENTIAL EVOLUTION; ENGINEERING PROBLEMS; LARGE SIZES; MIXED-INTEGER; OPTIMIZATION METHOD;

BIOLOGY; COMPUTATIONAL EFFICIENCY; CONSTRAINED OPTIMIZATION; ENGINEERING; FUNCTION EVALUATION; GENETIC ALGORITHMS; INTEGER PROGRAMMING; PROCESS ENGINEERING;

BRANCH AND BOUND METHOD;

EID: 77957909073     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2009.11.030     Document Type: Article

References (40)

1. R. Storn, and K.V. Price Differential Evolution - a simple and efficient heuristic for global optimization over continuous spaces J. Global Optim. 11 1997 341 359
2. E. Mezura-Montes, J. Velázquez-Reyes, and C.A. Coello Coello Modified Differential Evolution for constrained optimization Proceedings of the 2006 IEEE Congress on Evolutionary Computation (CEC 2006) Vancouver 2006 25 32
3. E. Mezura-Montes, J. Velázquez-Reyes, and C.A. Coello Coello Promising infeasibility and multiple offspring incorporated to Differential Evolution for constrained optimization Proceedings of the 2005 Conference on Genetic and Evolutionary Computation (GECCO'2005) Washington, DC 2005 225 232
4. J. Lampinen A constraint handling approach for the Differential Evolution algorithm Proceedings of the 2002 IEEE Congress on Evolutionary Computation (CEC 2002) (vol. 2) Piscataway 2002 1468 1473
5. F.Z. Huang, L. Wang, and Q. He An effective co-evolutionary differential evolution for constrained optimization Appl. Math. Comp. 186 2007 340 356 (Pubitemid 46435619)
6. E. Mezura-Montes, C.A. Coello Coello, J. Velázquez-Reyes, and L. Muñoz-Davila Multiple trial vectors in differential evolution for engineering design Eng. Optim. 39 5 2007 567 589
7. J. Lampinen, and I. Zelinka Mixed variable non-linear optimization by Differential Evolution I. Zelinka, Proceedings of Nostradamus'99, 2nd International Prediction Conference Zlin 1999 45 55
8. A. Ponsich, C. Azzaro-Pantel, S. Domenech, and L. Pibouleau Mixed-Integer Non-Linear Programming optimisation strategies for batch plant design problems Ind. Eng. Chem. Res. 46 3 2007 854 863
9. A. Brooke, D. Kendrick, A. Meeraus, and R. Raman GAMS User's Guide 1998 GAMS Development Corporation
10. J.M. Pinto, J.M. Montagna, A.R. Vechietti, O.A. Iribarren, and J.A. Asenjo Process performance models in the optimization of multiproduct protein production plants Biotechnol. Bioeng. 74 2001 461 465
11. K.V. Price An introduction to Differential Evolution D. Corne, M. Dorigo, F. Glover, New Ideas in Optimization 1999 McGraw-Hill New York 79 108
12. J.J. Lampinen, and I. Zelinka On stagnation of the Differential Evolution algorithm P. Ošmera, Proceedings of MENDEL 2000, 6th International Mendel Conference on Soft Computing Brno 2000 76 83
13. K. Zielinski, and L. Laur Constrained single-objective optimization using Differential Evolution Proceedings of the 2006 IEEE Congress on Evolutionary Computation (CEC 2006) Vancouver 2006 223 230 (Pubitemid 47130501)
14. J. Brest, V. Žumer, and M. Sepesy Maučec Self-adaptive Differential Evolution algorithm in constrained real-parameter optimization Proceedings of the 2006 IEEE Congress on Evolutionary Computation (CEC 2006) Vancouver 2006 215 222
15. M. Fatih Tasgetiren, and P.N. Suganthan A multi-populated Differential Evolution algorithm for solving constrained optimization problem Proceedings of the 2006 IEEE Congress on Evolutionary Computation (CEC 2006) Vancouver 2006 33 40
16. C.A. Coello, and C.A. Coello Use of a self-adaptive penalty approach for engineering optimization problems Comp. Ind. 41 2002 113 127
17. K. Deb Multi-Objective Optimization using Evolutionary Algorithms 2001 John Wiley & Sons Chichester, UK
18. K. Deb An efficient constraint handling method for genetic algorithms Comp. Meth. Appl. Mech. Eng. 186 2000 311 338
19. S. Kukkonen, and J. Lampinen Constrained real-parameter optimization with generalized Differential Evolution Proceedings of the 2006 IEEE Congress on Evolutionary Computation (CEC 2006) Vancouver 2006 207 214
20. T. Takahama, and S. Sakai Constrained optimization by the ε constrained Differential Evolution with gradient-based mutation and feasible elites Proceedings of the 2006 IEEE Congress on Evolutionary Computation (CEC 2006) Vancouver 2006 1 8
21. I.E. Grossmann, and R.W.H. Sargent Optimum design of multipurpose chemical plants Ind. Eng. Chem. Proc. Des. Dev. 18 1979 343 348
22. G.R. Kocis, and I.E. Grossmann Global optimisation of nonconvex mixed-integer non linear programming (MINLP) problems in process synthesis Ind. Eng. Chem. Res. 27 1988 1407 1421
23. A.K. Modi, and I.A. Karimi Design of multiproduct batch processes with finite intermediate storage Comput. Chem. Eng. 13 1989 127 139
24. A.N. Patel, R.S.H. Mah, and I.A. Karimi Preliminary design of multiproduct non-continuous plants using simulated annealing Comput. Chem. Eng. 15 1991 451 469
25. C. Wang, H. Quan, and X. Xu Optimal design of multiproduct batch chemical process using genetic algorithms Ind. Eng. Chem. Res. 35 1996 3560 3566
26. C. Wang, H. Quan, and X. Xu Optimal design of multiproduct batch chemical process using tabu search Comput. Chem. Eng. 23 1999 427 437
27. C. Wang, and Z. Xin Ants foraging mechanisms in the design of batch chemical process Comput. Chem. Eng. 41 2002 6678 6686
28. J.A. Asenjo, J.M. Montagna, A.R. Vecchietti, O.A. Iribarren, and J.M. Pinto Strategies for the simultaneous optimization of the structure and the process variables of a protein production plant Comput. Chem. Eng. 24 2000 2277 2290
29. A. Ponsich, Stratégies d'optimisation mixte en Génie des Procédés - Application la conception de procédés discontinus, Ph.D. Thesis, INP Toulouse, 2005.
30. K. Deb, and R.B. Agrawal Simulated binary crossover for continuous search space Complex Syst. 9 1995 115 148
31. K. Deb, and M. Goyal A combined adaptive search (GeneAS) for engineering design Comput. Sci. Inf. 26 1996 30 45
32. R. Storn Differential evolution research - trends and open questions U.K. Chakraborty, Advances in Differential Evolution, Studies in Computational Intelligence vol. 143 2008 Springer 1 31
33. G.C. Onwubolu, and D. Davendra Differential Evolution: A Handbook for Global Permutation-based Combinatorial Optimization G.C. Onwubolu, D. Davendra, Studies in Computational Intelligence vol. 175 2009 Springer
34. J. Hakanen, K. Miettinen, M.M. Mäkelä, and J. Manninen On interactive multiobjective optimization with NIMBUS in chemical process design J. Multi-Crit. Dec. Anal. 13 2-3 2005 125 134
35. J. Hakanen, Y. Kawajiri, K. Miettinen, and L.T. Biegler Interactive multi-objective optimization for simulated moving bed processes Control Cybern. 36 2 2007 282 320
36. N. Chakraborti, P. Mishra, A. Aggarwal, A. Banerjee, and S.S. Mukherjee The Williams Otto chemical plant re-evaluated using a Pareto-optimal formulation aided by genetic algorithms Appl. Soft Comp. 6 2 2006 189 197
37. A. Biswas, N. Chakraborti, and P.K. Sen Multiobjective optimization of manganese recovery from sea nodules using genetic algorithms Mater. Manuf. Process. 24 1 2009 22 30
38. A. Biswas, N. Chakraborti, and P.K. Sen A genetic algorithms based multi-objective optimization approach applied to a hydrometallurgical circuit for ocean nodules Miner. Process. Extr. Metall. 30 2 2009 163 189
39. C. Gutierrez-Antonio, and A. Briones-Ramirez Pareto front of ideal Petlyuk sequences using a multiobjective genetic algorithm with constraints Comput. Chem. Eng. 33 2 2009 454 464
40. K. Miettinen, and J. Hakanen Why use interactive multi-objective optimization in chemical process design? Rangaiah Gade Pandu, Multi-Objective Optimization: Techniques and Applications in Chemical Engineering 2009 World Scientific Singapore 153 188 (Chapter 6)