Feasibility evaluation of nonconvex systems using shape reconstruction techniques

Industrial and Engineering Chemistry Research

Volumn 44, Issue 10, 2005, Pages 3638-3647

  Banerjee, Ipsita ^a   Ierapetritou, Marianthi G ^a  

^a The State University of New Jersey   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FEASIBILITY ANALYSIS TECHNIQUES; NONCONVEX SYSTEMS; OPERATIONAL FLEXIBILITY; SHAPE RECONSTRUCTION TECHNIQUES;

ALGORITHMS; DIFFERENTIAL EQUATIONS; KNOWLEDGE ENGINEERING; PROCESS CONTROL; STRUCTURAL DESIGN;

RECONSTRUCTION (STRUCTURAL);

FEASIBILITY STUDY;

EID: 19844369121     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie049294d     Document Type: Article

References (26)

1. Swaney, R. E.; Grossmann, I. E. An index for operational flexibility in chemical process design. I: Formulation and theory. AIChE J. 1985, 31, 621.
2. Grossmann, I. E.; Sargent, R. W. H. Optimum design of chemical plants with uncertain parameters. AIChE J. 1978, 24, 1021.
3. Grossmann, I. E.; Halemane, K. P. A decomposition strategy for designing flexible chemical plants. AIChE J. 1982, 28, 686.
4. Halemane, K. P.; Grossmann, I. E. Optimal process design under uncertainty. AIChE J. 1983, 29, 425.
5. Biegler, L. T.; Grossmann, I. E. Retrospective on optimization. Comput. Chem. Eng. 2004, 28, 1169.
6. Rooney, W. R.; Biegler, L. T. Incorporating joint confidence regions into design under uncertainty. Comput. Chem. Eng 1999, 23, 1563.
7. Saboo, A. K.; Morari, M.; Woodcock, D. C. Design of resilient processing plants. VIII. A resilience index for heat exchanger networks. Chem. Eng. Sci. 1983, 40, 1553.
8. Kubic, W. L.; Stein, F. P. A theory of design reliability using probability and fuzzy sets. AIChE J. 1988, 34, 583.
9. Pistikopoulos, E. N.; Mazzuchi, T. A. A novel flexibility analysis approach for processes with stochastic parameters. Comput. Chem. Eng. 1990, 14, 991.
10. Straub, D. A.; Grossmann, I. E. Design optimization of stochastic flexibility. Comput.Chem. Eng. 1993, 17, 339.
11. Goyal, V.; Ierapetritou, M. G. Determination of operability limits using simplicial approximation. AIChE J. 2002, 48, 2902.
12. Jarvis, R. A. Computing the shape hull of points in the plane. Proc. IEEE Comput. Soc. Conf. Pattern Recognit. Image Processes 1977, 231.
13. Akl, S. K.; Toussaint, G. T. Efficient convex hull algorithm for pattern recognition applications. Proc. Fourth Int. Jr. Conf. Pattern Recognit. 1978, 483.
14. Fairfield, J. Contoured shape generation forms that people see in dot patterns. Proc. IEEE Conf. Cybernet Soc. 1979, 60.
15. Matula, D. W.; Sokal, R. R. Properties of Gabriel graphs relevant to geographic variation research and the clustering of points in the plane. Geogr. Anal. 1980, 12, 205.
16. Toussaint, G. T. The relative neighborhood graph of a finite planar set. Pattern Recognit. 1980, 12, 261.
17. Kirkpatrick, D. G.; Radke, J. D. A framework for computational morphology. In Computational Geometry; Toussaint, G. T., Ed.; Elsevier-North-Holland: New York, 1985; p 234.
18. Edelsbrunner, H.; Kirkpatrick, D. G.; Seidel, R. On the shape of a set of points in a plane. IEEE Trans. Inf. Theory 1983, 551.
19. Edelsbrunner, H. Weighted alpha shapes; Tech. Rep. UIUCDCS-R-92-1760; Department of Comp. Sc., University of Illinois-Urbana-Champaign: Urbana-Champaign, IL, 1992.
20. 2. Pattern Recognit. 1997, 30, 1759.
21. Haines, E. Point in polygon strategies. In Graphic Gems; Heckbert, P., Ed.; Academic Press: New York, 1994; p 24.
22. DeJong, K. A. An analysis of the behavior of a class of genetic adaptive systems. Doctoral dissertation, University of Michigan, Ann Arbor, MI, 1975.
23. Edwards, K.; Edgar, T. F.; Manousiouthakis, V. I. Kinetic model reduction using genetic algorithm. Comput. Chem. Eng. 1998, 22, 239.
24. Goldberg, D. E. Genetic algorithms in search, optimization and machine learning; Addison-Wesley: New York, 1989.
25. Floudas, C. A.; Gumus, Z. H.; Ierapetritou, M. G. Global optimization in design under uncertainty: Feasibility test and flexibility index problems. Ind. Eng. Chem. Res. 2001, 40, 4267.
26. Vajda, S.; Valko, P.; Turanyi, T. Principal component analysis of kinetic models. Int. J. Chem. Kinet. 1985, 17, 55.