Disjunctive-genetic programming approach to synthesis of process networks

Industrial and Engineering Chemistry Research

Volumn 50, Issue 10, 2011, Pages 6213-6228

  Odjo, Andrew O ^a   Sammons, Norman E ^b   Yuan, Wei ^b   Marcilla, Antonio ^a   Eden, Mario R ^b   Caballero, Jose A ^a  

^a UNIVERSITY OF ALICANTE   (Spain)

^b AUBURN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BENCH-MARK PROBLEMS; CHEMICAL ENGINEERING PROCESS; COMPUTATIONAL LOADS; CONSTRAINT FUNCTIONS; CONTINUOUS OPTIMIZATION PROBLEMS; DISCRETE OPTIMIZATION PROBLEMS; EQUIPMENT DESIGN; GENERALIZED DISJUNCTIVE PROGRAMMING; HEAT EXCHANGE; MIXED INTEGER NON-LINEAR PROGRAMMING PROBLEMS; MIXED-INTEGER LINEAR PROGRAMMING; NETWORK PROBLEMS; OPTIMIZATION PROBLEMS; PROBLEM SCALE; PROCESS NETWORKS; SEARCH SPACES; SEGMENT-BASED; SUB-PROBLEMS; SUBOPTIMAL SOLUTION;

GENETIC ALGORITHMS; GENETIC PROGRAMMING; LINEAR PROGRAMMING; MATHEMATICAL OPERATORS; NONLINEAR PROGRAMMING; OPTIMIZATION; SYNTHESIS (CHEMICAL);

INTEGER PROGRAMMING;

EID: 79955921458     PISSN: 08885885     EISSN: 15205045     Source Type: Journal    
DOI: 10.1021/ie1017699     Document Type: Article

References (48)

1. Mussati, S. F.; Barttfeld, M.; Aguirre, P. A.; Scenna, N. J. A disjunctive programming model for superstructure optimization of power and desalting plants Desalination 2008, 222 (1-3) 457-465
2. Vecchietti, A.; Lee, S.; Grossmann, I. E. Modeling of discrete/continuous optimization problems: characterization and formulation of disjunctions and their relaxations Comput. Chem. Eng. 2003, 27 (3) 433-448 (Pubitemid 36285970)
3. Turkay, M.; Grossmann, I. E. Disjunctive programming techniques for the optimization of process systems with discontinuous investment cost-multiple size regions Ind. Eng. Chem. Res. 1996, 35, 2611-2623 (Pubitemid 126471936)
4. Turkay, M.; Grossmann, I. E. Structural Flowsheet Optimization with Complex Investment Cost Functions Comput. Chem. Eng. 1998, 1 (22) 673-686 (Pubitemid 128714164)
5. Turkay, M.; Grossmann, I. E. Logic-based MINLP algorithms for the optimal synthesis of process networks Comput. Chem. Eng. 1996, 20 (8) 959
6. Balas, E. Disjunctive programming and a hierarchy of relaxations for discrete optimization problems SIAM J. Algorithms Discrete Math. 1985, 6, 466-486
7. Grossmann, I. E.; Lee, S. Generalized convex disjunctive programming: nonlinear convex hull relaxation Comput. Optim. Appl. 2003, 26 (1) 83-100
8. Duran, M. A.; Grossmann, I. E. A mixed-integer nonlinear programming algorithm for process systems synthesis AIChE J. 1986, 32 (4) 592-606 (Pubitemid 16520628)
9. Farkas, T.; Rev, E.; Lelkes, Z. Process flowsheet superstructures: Structural multiplicity and redundancy: Part I: Basic GDP and MINLP representations Comput. Chem. Eng. 2005, 29 (10) 2180-2197 (Pubitemid 41393571)
10. Oldenburg, J.; Marquardt, W. Optimization of discrete-continuous dynamic systems based on disjunctive programming. Proceedings in Applied Mathematics and Mechanics (PAMM)-Special Issue: GAMM Annual Meeting, Luxembourg, 2005; 51-54.
11. Caballero, J. A.; Grossmann, I. E. Design of distillation sequences: from conventional to fully thermally coupled distillation systems Comput. Chem. Eng. 2004, 28 (11) 2307-2329 (Pubitemid 39094077)
12. Dakin, R. J. A Tree-Search Algorithm for mixed integer programming problems Comput. J. 1965, 8 (3) 250-254
13. Garfinkel, R. S.; Nemhauser, G. L. Integer Programming; John Wiley & Sons: New York, 1972.
14. Gupta, O. K.; Ravindran, A. Branch and Bound Experiments in Convex Nonlinear Integer Programming Manage. Sci. 1985, 31 (12) 1533-1546 (Pubitemid 16488951)
15. Stubbs, R. A.; Mehrotra, S. A branch-and-cut method for 0-1 mixed convex programming Math. Program. 1999, 86 (3) 515-532
16. Duran, M. A.; Grossmann, I. E. An Outer-Approximation Algorithm for a Class of Mixed-integer Nonlinear Programs Math. Program. 1986, 36, 307
17. Bergamini, M. L.; Aguirre, P.; Grossmann, I. E. Logic-based outer approximation for globally optimal synthesis of process networks Comput. Chem. Eng. 2005, 29 (9) 1914-1933 (Pubitemid 41228719)
18. Viswanathan, J.; Grossmann, I. E. A combined penalty function and outer approximation method for MINLP optimization Comput. Chem. Eng. 1990, 14 (7) 769-782
19. Quesada, I. E.; Grossmann, I. E. A Global Optimization Algorithm for Linear Fractional and Bilinear Programs J. Global Optim. 1995, 6, 39-76
20. Noronha, S.; Gruhn, G. Generation of reduced statistical models for NLP and MINLP optimization Comput. Chem. Eng. 1997, 21 (S1) S505-S510
21. Manninen, J.; Zhu, X. X. Thermodynamic analysis and mathematical optimization of power plants Comput. Chem. Eng. 1998, 22 (S1) S537-S544
22. Emhamed, A. M.; Lelkes, Z.; Rev, E.; Farkas, T.; Fonyo, Z.; Fraser, D. M. New hybrid method for mass exchange network optimization Comput.-Aided Chem. Eng. 2005, 20 (Part 1) 877-882
23. Maravelias, C. T.; Grossmann, I. E. A hybrid MILP/CP decomposition approach for the continuous time scheduling of multipurpose batch plants Comput. Chem. Eng. 2004, 28 (10) 1921-1949 (Pubitemid 39090397)
24. Holland, J. H. Adaptation in Natural and Artificial Systems; University of Michigan Press: Ann Arbor, MI, 1975.
25. Androulakis, I. P.; Venkatasubramanian, V. A. Genetic algorithmic frameworkfor process design and optimization Comput. Chem. Eng. 1991, 15 (4) 217-228 (Pubitemid 21669968)
26. Coello, C. A.; Christiansen, A. D. Multi-objective optimization of trusses using genetic algorithms Comput. Struct. 2000, 75 (6) 647-660 (Pubitemid 30585503)
27. Deb, K. An efficient constraint handling method for genetic algorithms Comput. Methods Appl. Mech. Eng. 2000, 18, 11-318
28. Michalewicz, Z.; Schoenauer, M. evolutionary algorithms for constrained parameter optimization problems Evol. Comput. 1996, 4 (1) 1-32 (Pubitemid 126707158)
29. Lewin, D. R.; Wang, H.; Shalev, O. A generalized method for HEN synthesis using stochastic optimization - I. General framework and MER optimal synthesis Comput. Chem. Eng. 1998, 22 (10) 1503-1513 (Pubitemid 29038987)
30. Lewin, D. R.; Wang, H.; Shalev, O. A generalized method for HEN synthesis using stochastic optimization-II.: The synthesis of cost-optimal networks Comput. Chem. Eng. 1998, 22 (10) 1387-1405 (Pubitemid 29038985)
31. Cai, X.; McKinney, D. C.; Lasdon, L. S. Solving nonlinear water management models using a combined genetic algorithm and linear programming approach Adv. Water Resour. 2001, 24 (6) 667-676 (Pubitemid 32546287)
32. Lee, S.; Grossmann, I. E. New algorithms for nonlinear generalized disjunctive programming Comput. Chem. Eng. 2000, 24, 2125-2141
33. Michalewicz, Z. Genetic algorithms + data structure = evolution programs; Springer: Berlin, 1992.
34. Goldberg, D. E. Genetic algorithm in search, optimization and machine learning. Addison-Wesley: Reading, MA, 1989.
35. Leboreiro, J.; Acevedo, J. Process synthesis and design of distillation sequences using modular simulators: a genetic algorithm framework Comput. Chem. Eng. 2004, 28, 1223-1236 (Pubitemid 38609078)
36. Reeves, C. R. Genetic algorithms for the operations researcher Inform. J. Comput. 1997, 9 (1) 231-250 (Pubitemid 127695176)
37. Williams, H. P. Model Building in Mathematical Programming; John Wiley and Sons, Ltd: Chichester, 1999.
38. Odjo, A. O.; Sammons, Jr., N. E.; Marcilla, A.; Eden, M. R.; Caballero, J. A Disjunctive-Genetic Programming Approach to Synthesis of Process Networks. Proceedings of 18th International Congress of Chemical and Process Engineering (CHISA), Prague, Czech Republic, August 24-28, 2008.
39. Yuan, W.; Odjo, A. O.; Sammons, N. E., Jr.; Caballero, J.; Eden, M. R. Process Structure Optimization using a Hybrid Disjunctive-Genetic Programming Approach Comput.-Aided Chem. Eng. 2009, 27, 669-674
40. García-Martínez, C.; Lozano, M.; Herrera, F.; Molina, D.; Sánchez, A. M. Global and local real-coded genetic algorithms based on parent-centric crossover operators Eur. J. Oper. Res. 2008, 185 (3) 1088-1113 (Pubitemid 47498808)
41. Chang, W. D. An improved real-coded genetic algorithm for parameters estimation of nonlinear systems Mech. Syst. Signal Process. 2006, 20 (1) 236-246
42. Achiche, S.; Baron, L.; Balazinski, M. Real/binary-like coded versus binary coded genetic algorithms to automatically generate fuzzy knowledge bases: a comparative study Eng. Appl. Artif. Intell. 2004, 17 (4) 313-325
43. Tang, H.; Tan, K. C.; Yi, Z. Neural networks: Computational models and applications; Springer: New York, 2007.
44. Caballero, J. A.; Odjo, A.; Grossmann, I. E. Integration of generalized disjunctive programming with modular process simulators Comput.-Aided Chem. Eng. 2006, 21 (1) 125-130
45. Caballero, J. A.; Odjo, A. O.; Grossmann, I. E. Flowsheet optimization with complex cost and size functions using process simulators AIChE J. 2007, 53 (9) 2351-2366 (Pubitemid 47388141)
46. Brooke, A.; Kendrick, D.; Meeraus, A. GAMS: A Users Guide; GAMS Development Corporation, Washington, DC, 2010.
47. Sammons, N. E., Jr.; Yuan, W.; Eden, M. R.; Cullinan, H. T.; Aksoy, B. A Flexible Framework for Optimal Biorefinery Product Allocation J. Environ. Progr. 2007, 26 (4) 349-354
48. Sammons, N. E., Jr.; Yuan, W.; Eden, M. R.; Aksoy, B.; Cullinan, H. T. Optimal Biorefinery Product Allocation by Combining Process and Economic Modeling Chem. Eng. Res. Des. 2008, 86 (7) 800-808