Effective chemical process design under physical, chemical, economic uncertainty must obtain a flexible process. In this paper one-stage and two-stage problems with hard and chance constraints are considered. Ones must be solved to obtain an effective flexible process. Approaches, which take into account the statistically relationship between parameters, are discussed.
оптимальное проектирование технологических процессов, оптимизация с учетом неопределенности, вероятностные ограничения, статистически зависимые параметры, optimal process design, optimization under uncertainty, chance constraints, statistically dependent uncertain parameters
1. T.V. Lapteva, N.N. Ziyatdinov, D.D. Pervuhin. Vestnik Kazan. tehnol. un-ta, 11, 268-271, (2012).
2. R.W.H. Sargent. Chem. Eng. Process. 63, 9, (1967).
3. G. Kramer. Matematicheskie metody statistiki. M.: RHD, 2003.
4. 4 T.V. Lapteva, N.N. Ziyatdinov, D.D. Pervuhin, G.M. Ostrovskiy. Vestnik Kazan. tehnol. un-ta, 7, 218-224, (2011).
5. B.H. Carnahan, A. Luther, J.O. Wilkes. Applied Numerical Methods. Wiley, New York, 1969.
6. J. Acevedo, E.N. Pistikopoulos. Comput. Chem. Eng., 22, 647-671, (1998).
7. F.P. Bernardo, E.N. Pistikopoulos, P.M. Saraiva. Ind. Eng. Chem. Res., 38, 3056-3068, (1999).
8. F.P. Bernardo, P.M. Saraiva. AIChE J., 44, 2007-2117, (1998).
9. U.M. Diwekar, J.R. Kalagnanam. AIChE J., 43, 440-447, (1997).
10. P. Kall, S.W. Wallace. Stochastic Programming. Wiley, Chichester, 1994.
11. C.D. Maranas. AIChE J., 43, 1250-1264, (1997).
12. M. Wendt, P. Li, G.Wozny. Ind. Eng. Chem. Res., 41, 3621-3629, (2002).
13. G.M. Ostrovskiy, N.N. Ziyatdinov, T.V. Lapteva, D.D. Pervuhin. Dokl. AN, 425, 1, 63-66, (2009).
14. G.M.Ostrovsky, N.N. Ziyatdinov, T.V. Lapteva. Chem. Eng. Sci., 65, 2373-2381, (2010).
15. G.M.Ostrovsky, N.N. Ziyatdinov, T.V. Lapteva, I.V. Zaitsev. Chem. Eng. Sci., 66, 3815-3828, (2011).
16. T.V. Lapteva, N.N. Ziyatdinov, D.D. Pervuhin, G.M. Ostrovskiy. Vestnik Kazan. tehnol. un-ta, 14, 9, 281-287, (2011).
17. T.V. Lapteva, N.N. Ziyatdinov, I.V. Zaycev. Vestnik Kazan. tehnol. un-ta, 15, 24, 139-146, (2012).
18. T.V. Lapteva, N.N. Ziyatdinov, D.D. Pervuhin. Vestnik Kazan. tehnol. un-ta, 15, 12, 216-219, (2012).
19. N.N. Ziyatdinov, I.V. Zaycev, T.V. Lapteva. Vestnik Kazan. tehnol. un-ta, 15, 16, 247-250, (2012).
20. T.V. Lapteva, N.N. Ziyatdinov, G.M. Ostrovskiy, I.V. Zaycev. Dokl. AN, 435, 4, 497-500, (2010).
21. I.V. Zaycev, T.V. Lapteva, N.N. Ziyatdinov. Vestnik Kazan. tehnol. un-ta, 16, 1, 251-256, (2013).
22. Y. Bard. Nelineynoe ocenivanie parametrov. M.: Statistika, 1979.