Global optimization of water management problems using linear relaxation and bound contraction methods

Industrial and Engineering Chemistry Research

Volumn 50, Issue 7, 2011, Pages 3738-3753

  Faria, Deìbora C ^a   Bagajewicz, Miguel J ^a  

^a UNIVERSITY OF OKLAHOMA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EQUIPMENT COSTS; GLOBAL OPTIMIZATION METHOD; LINEAR RELAXATIONS; MANAGEMENT PROBLEMS; UNIVARIATE;

GLOBAL OPTIMIZATION; OPTIMIZATION;

WATER MANAGEMENT;

EID: 79953298402     PISSN: 08885885     EISSN: 15205045     Source Type: Journal    
DOI: 10.1021/ie101206c     Document Type: Article

References (26)

1. Faria, D. and Bagajewicz, M. A new approach for global optimization of a class of MINLP problems with applications to water management and pooling problems. AIChE J., in press.
2. Karuppiah, R.; Grossmann, I. E. Global optimization for the synthesis of integrated water systems in chemical processes Comput. Chem. Eng. 2006, 30, 650-673 (Pubitemid 43289121)
3. McCormick, G. P. Computability of global solutions to factorable nonconvex programs. Convex underestimating problems Math. Program. 1976, 10 (1) 147-175
4. Zamora, J. M.; Grossmann, I. E. A branch and contract algorithm for problems with concave univariate, bilinear and linear fractional terms J. Global Optim. 1999, 14, 217-249 (Pubitemid 129617294)
5. Karuppiah, R.; Grossmann, I. E. Global optimization of multiscenario mixed integer nonlinear programming models arising in the synthesis of integrated water networks under uncertainty Comput.-Aided Chem. Eng. 2006, 21 (2) 1747-1752
6. Bergamini, M. L.; Aguirre, P.; Grossmann, I. Logic based outer approximation for global optimization of synthesis of process networks Comput. Chem. Eng. 2005, 29, 1914
7. Bergamini, M. L.; Grossmann, I.; Scenna, N.; Aguirre, P. An improved piecewise outer-approximation algorithm for the global optimization of MINLP models involving concave and bilinear terms Comput. Chem. Eng. 2008, 32, 477-493
8. Padberg, M. Approximating separable nonlinear functions via mixed zero-one programs Oper. Res. Lett. 2000, 27, 1-5
9. Meyer, C. A.; Floudas, C. A. Global optimization of a combinatorially complex generalized pooling problem AIChE J. 2006, 52 (3) 1027-1037
10. Savelski, M.; Bagajewicz, M. On the use of linear models for the design of water utilization systems in refineries and process plants Chem. Eng. Res. Des. 2001, 79, 600-610
11. Koppol, A. P. R.; Bagajewicz, J. M.; Dericks, B. J.; Savelski, M. J. On zero water discharge solutions in process industry Adv. Environ. Res. 2003, 8, 151-171
12. Gunaratnam, M.; Alva-Argaez, A.; Kokosis, A.; Kim, J. K.; Smith, R. Automated design of total water systems Ind. Eng. Chem. Res. 2005, 44, 588-599 (Pubitemid 40165406)
13. Hallale, N.; Fraser, D. M. Capital cost targets for mass exchange networks. A special case: Water minimization Chem. Eng. Sci. 1998, 53 (2) 293-313 (Pubitemid 28056200)
14. Alva-Argaez, A.; Kokossis, A. C.; Smith, R. A conceptual decomposition of MINLP models for the design of water-using systems Int. J. Environ. Pollut. 2007, 29, 177-205 (Pubitemid 46712305)
15. Faria, D. C.; Bagajewicz, M. J. Retrofit of water networks in process plants. Proceedings of the XXII Interamerican Congress of Chemical Engineering, Buenos Aires, Argentina; 2006.
16. Lim, S. R.; Park, D.; Lee, D. S.; Park, J. M. Economic evaluation of water network system through the net present value method based on cost and benefits estimations Ind. Eng. Chem. Res. 2006, 45, 7710-7718 (Pubitemid 44797593)
17. Lim, S. R.; Park, D.; Park, J. M. Synthesis of an economically friendly water system by maximizing net present value Ind. Eng. Chem. Res. 2007, 46, 6936-6943 (Pubitemid 350013740)
18. Wan Alwi, S. R.; Manan, Z. A. SHARPS: A new cost-screening technique to attain cost-effective minimum water network AIChE J. 2006, 52, 3981-3988 (Pubitemid 44672164)
19. Wan Alwi, S. R.; Manan, Z. A.; Samingin, M. H.; Misran, N. A holistic framework for design of cost-effective minimum water utilization network. J. Environ. Manage. 2007, not supplied.
20. Faria, D. C.; Bagajewicz, M. J. Profit-based grassroots design and retrofit of water networks in process plants Comput. Chem. Eng. 2009, 33 (2) 436-453
21. Faria, D. C.; Bagajewicz, M. J. On the appropriate modeling of the process plant water systems AIChE J. 2010, 56 (3) 668-689
22. Wang, Y P; Smith, R. Wastewater minimization Chem. Eng. Sci. 1994, 49 (7) 981-1006
23. Kuo, W. C. J.; Smith, R. Effluent treatment system design Chem. Eng. Sci. 1997, 52 (23) 4273
24. Faria, D.; Bagajewicz, M. On the degeneracy of the water/wastewater allocation problem in process plants Ind. Eng. Chem. Res. 2010, 49 (9) 4340-4351
25. Meyer, C. A.; Floudas, C. A. Global optimization of a combinatorially complex generalized pooling problem AIChE J. 2006, 52 (3) 1027-1037
26. Floudas, C. A. Personal communication, 2010.