Global analysis of combined reaction distillation processes

Computers and Chemical Engineering

Volumn 32, Issue 1-2, 2008, Pages 343-355

  Gangadwala, Jignesh ^a   Haus, Utz Uwe ^b   Jach, Matthias ^b   Kienle, Achim ^a,b   Michaels, Dennis ^b   Weismantel, Robert ^b  

^a MAX PLANCK INSTITUTE FOR DYNAMICS OF COMPLEX TECHNICAL SYSTEMS   (Germany)

^b OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

Distillation; Global optimization; MILP; MINLP; Polyhedral relaxation; Reaction; Reactive distillation; Side reactor

Indexed keywords

APPROXIMATION THEORY; CHEMICAL REACTORS; COMPUTATION THEORY; DISTILLATION; GLOBAL OPTIMIZATION; LINEAR SYSTEMS; SYNTHESIS (CHEMICAL);

COMPUTATION TIME; POLYHEDRAL RELAXATION; REACTIVE DISTILLATION; SIDE REACTOR;

DISTILLATION COLUMNS;

APPROXIMATION THEORY; CHEMICAL REACTORS; COMPUTATION THEORY; DISTILLATION; DISTILLATION COLUMNS; GLOBAL OPTIMIZATION; LINEAR SYSTEMS; SYNTHESIS (CHEMICAL);

EID: 35548987824     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2007.04.015     Document Type: Article

References (27)

1. Adjiman C.S., Dallwig S., Floudas C.A., and Neumaier A. A global optimization method, αBB, for general twice-differentiable constrained NLPs. I. Theoretical advanced. Computers & Chemical Engineering 22 9 (1998) 1137-1158
2. Al-Khayyal F.A., and Falk J.E. Jointly constrained biconvex programming. Mathematics of Operations Research 8 2 (1983) 273-286
3. Ben-Tal, A., & Nemirovski, A. (2001) Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications. MPS-SIAM Series on Optimization. Philadelphia, USA: SIAM
4. Chen F., Huss R.S., Malone M.F., and Doherty M.F. Simulation of kinetic effects in reactive distillation. Computers & Chemical Engineering 24 (2000) 2457-2472
5. Duran M.A., and Grossmann I.E. A mixed-integer nonlinear programming algorithm for process system synthesis. AIChE Journal 32 4 (1986) 592-606
6. Duran M.A., and Grossmann I.E. An outer-approximation algorithm for a class of mixed-integer nonlinear programs. Mathematical Programming 36 (1986) 307-339
7. Fletcher R., and Leyffer S. Solving mixed integer nonlinear programs by outer approximation. Mathematical Programming 66 3 (1994) 327-349
8. Gangadwala J., Kienle A., Haus U.-U., Michaels D., and Weismantel R. Global Bounds on Optimal Solutions for the Production of 2,3-Dimethylbutene-1. Industrial & Engineering Chemistry Research 45 7 (2006) 2261-2271
9. Geoffrion A.M. Generalized benders decomposition. Journal of Optimization Theory and Applications (JOTA) 10 4 (1972) 237-260
10. Haus U.-U., Michaels D., Seidel-Morgenstern A., and Weismantel R. A method to evaluate the feasibility of TMB chromatography for reduced efficiencies and purity requirements based on discrete optimization. Computers & Chemical Engineering 31 (2007) 1525-1534
11. Kelley J.E. The cutting plane method for solving convex programs. Journal of SIAM 8 4 (1960) 703-712
12. Kienle A. Low-order dynamic models for ideal multicomponent distillation processes using nonlinear wave propagation theory. Chemical Engineering Science 55 (2000) 1817-1828
13. Kocis G.R., and Grossmann I.E. Relaxation strategy for the structural optimization of process flow sheets. Industrial & Engineering Chemistry Research 26 (1987) 1869-1880
14. Marchand H., Martin A., Weismantel R., and Wolsey L.A. Cutting planes in integer and mixed integer programming. Discrete Applied Mathematics 123 (2002) 397-446
15. Marquardt, W. (1988). Nichtlineare Wellenausbreitung - ein Weg zu reduzierten Modellen von Stofftrennprozessen. VDI Fortschrittsberichte Nr. 8/161. Düsseldorf: VDI-Verlag.
16. Marquardt W. Traveling waves in chemical processes. International Chemical Engineering 30 (1990) 585-606
17. Marriott J., and Sørensen E. The optimal design of membrane systems. Chemical Engineering Science 58 (2003) 4991-5004
18. McCormick G.P. Computability of global solutions to factorable nonconvex programs. I. Convex underestimating problems. Mathematical Programing 10 (1976) 147-175
19. Nemhauser G.L., and Wolsey L.A. Integer and Combinatorial Optimization (1988), Wiley, New York, NY
20. Padberg M.W. A note on 0/1 programming. Operations Research 23 (1975) 833-837
21. Stein E., Kienle A., and Gilles E.D. Dynamic optimization of multicomponent distillation processes. In: Keil F., Mackens W., Voß H., and Werther J. (Eds). Scientific Computing in Chemical Engineering II (1999), Springer-Verlag, Berlin, Heidelberg, New York 362-369
22. Tawarmalani M., and Sahinidis N.V. Convex extensions and envelopes of lower semi-continuous functions. Mathematical Programming 93 2, Ser. A (2002) 247-263
23. Tawarmalani M., and Sahinidis N.V. Global optimization of mixed-integer nonlinear programs: a theoretical and computational study. Mathematical Programming 99 3, Ser. A (2004) 563-591
24. Tawarmalani M., and Sahinidis N.V. A polyhedral branch-and-cut approach to global optimisation. Mathematical Programming 103 2, Ser. B (2004) 225-249
25. Verhulst P. Notice sur la loi que la population suit dans son accroissement. Correspondance mathématique et physique 10 (1838) 113-121
26. Viswanathan J., and Grossmann I.E. A combined penalty function and outer-approximation method for MINLP optimisation. Computers & Chemical Engineering 14 7 (1990) 769-782
27. Zamora J.M., and Grossmann I.E. A branch and contract algorithm for problems with concave univariate, bilinear and linear fractional terms. Journal of Global Optimization 14 (1999) 217-249