Hybrid method of development of mathematical models of chemical-technological systems under uncertainty
Matematičeskoe modelirovanie, Tome 29 (2017) no. 4, pp. 30-44.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proposed to develop structured hybrid method (complex) mathematical models of complex chemical-technological systems (CTS) of refinery production under uncertainty based on the different source of the information. According to the research of each element of CTS model of a system element is based on the basis of the collected information and the selection criteria, then developed models are combined into a single system with purpose of system modeling of technological system in general. Developed method has been successfully implemented at construction of system models of the main aggregates of the reformer unit the catalytic reforming unit (LH) of the Atyrau refinery (oil refinery). A comparison of known results and results of modeling based on the proposed method and experimental data install of LG Atyrau oil refinery was conducted. Statement of illegible optimization problems of modes of CTS on the basis of models is formalized and the algorithm of its solution is proposed. Structure of computer system modeling and optimization of CTS oil refinery production is created in the context of multicriteria and illegible initial information.
Keywords: mathematical modeling, chemical-technological systems (CTS), reformer unit, theory of illegible variety, function of belonging.
@article{MM_2017_29_4_a2,
     author = {B. B. Orazbayev and E. A. Ospanov and K. N. Orazbaeva and L. T. Kurmangazieva},
     title = {Hybrid method of development of mathematical models of chemical-technological systems under uncertainty},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {30--44},
     publisher = {mathdoc},
     volume = {29},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_4_a2/}
}
TY  - JOUR
AU  - B. B. Orazbayev
AU  - E. A. Ospanov
AU  - K. N. Orazbaeva
AU  - L. T. Kurmangazieva
TI  - Hybrid method of development of mathematical models of chemical-technological systems under uncertainty
JO  - Matematičeskoe modelirovanie
PY  - 2017
SP  - 30
EP  - 44
VL  - 29
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2017_29_4_a2/
LA  - ru
ID  - MM_2017_29_4_a2
ER  - 
%0 Journal Article
%A B. B. Orazbayev
%A E. A. Ospanov
%A K. N. Orazbaeva
%A L. T. Kurmangazieva
%T Hybrid method of development of mathematical models of chemical-technological systems under uncertainty
%J Matematičeskoe modelirovanie
%D 2017
%P 30-44
%V 29
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2017_29_4_a2/
%G ru
%F MM_2017_29_4_a2
B. B. Orazbayev; E. A. Ospanov; K. N. Orazbaeva; L. T. Kurmangazieva. Hybrid method of development of mathematical models of chemical-technological systems under uncertainty. Matematičeskoe modelirovanie, Tome 29 (2017) no. 4, pp. 30-44. http://geodesic.mathdoc.fr/item/MM_2017_29_4_a2/

[1] V. E. Gmurman, Teorija verojatnostej i matematicheskaja statistika, 12-e izd., pererab., Vysshee obrazovanie, M., 2006, 479 pp.

[2] A. V. Bobylev, I. F. Potapenko, S. A. Karpov, “Metod Monte-Karlo dlia dvuhkomponentnoi plazmy”, Matematicheskoe modelirovanie, 24:9 (2012), 35–49 | Zbl

[3] Zhi-Wen Zhao, De-Hui Wang, “Statistical inference for generalized random coefficient autoregressive model”, Mathematical and Computer Modelling, 56 (2012), 152–166 | DOI | MR | Zbl

[4] L. A. Zadeh, “Fuzzy Sets”, Information and Control, 8 (1965), 338–353 | DOI | MR | Zbl

[5] B. B. Orazbaev, Teoriia i praktika metodov nechetkikh mnozhestv, Uchebnik dlia studentov VUZov, Bastau, Almaty, 2014, 480 pp.

[6] A. P. Ryzhov, Elementy teorii nechetkikh mnozhestv i ee prilozhenii, MGU, M., 2003, 81 pp.

[7] R. A. Aliev, A. E. Cerkovnyj, G. A. Mamedova, Upravlenie proizvodstvom pri nechetkoi iskhodnoi informacii, Energoatomizdat, M., 1991, 350 pp.

[8] A. Kaufmann, Introduction a la theorie des sous-ensembles flous, Paris–New York–Barselona–Milan, 1977 | MR

[9] D. Dubois, “The role of fuzzy sets indecision sciences: Old techniques and new directions”, Fuzzy Sets Systems, 184:5 (2011), 3–28 | DOI | MR | Zbl

[10] A. S. Rykov, B. B. Orazbaev, A. G. Kuznetsov, “A Fuzzy sets application for modeling and control of rectification technology”, Advanced Control of Chemical Processes, International Symposium ADCHEM 91 (Toulouse, France, 1991), 95–99 | MR

[11] K. N. Orazbaeva, “Algoritm postroeniia modelei tekhnologicheskikh obieektov neftegazovogo proizvodstva v usloviiakh neopredelennosti”, Trudy 5 Kazakhstansko-Rossiiskoi mezhdunarodnoi nauchno-prakticheskoi konf. «Matem.modelirovanie nauchno-tekhnologicheskikh i ekologicheskikh problem v neftedobyvaiushhei promyshlennosti» (Almaty, 2005), 290

[12] B. B. Orazbayev, K. N. Orazbayeva, B. E. Utenova, “Development of Mathematical Models and Modeling of Chemical Engineering Systems under Uncertainty”, Theoretical Foundations of Chemical Eng., 48:2 (2014), 138–147 | DOI | DOI

[13] K. N. Orazbaeva, B. E. Utenova, L. T. Kurmangazieva, “Metodika matematicheskogo modelirovaniia vzaimosviazannykh tekhnologicheskikh agregatov neftepererabatyvaiushhego proizvodstva v usloviiakh neopredelennosti”, Promyshlennost Kazakhstana, 2014, no. 3(84), 72–75

[14] A. A. Lyupa, D. N. Morozov, M. A. Trapeznikova, B. N. Chetverushkin, N. G. Churbanova, S. V. Lemeshevsky, “Simulation of Oil Recovery Processes with the Employment of High-Performance”, Mathematical Models and Computer Simulations, 8:2 (2016), 129–134 | DOI | Zbl

[15] B. B. Orazbaev, K. N. Orazbaeva, G. T. Serikova, “Issledovanie i postroenie matematicheskikh modelej reaktorov sektsii riforminga dlia avtomatizirovannogo upravleniia ustanovkoj proizvodstva benzola”, Avtomatizastiia, telemekhanizatsiia i sviaz v neftianoj promyshlennosti, 1, VNIIOENG, M., 2011, 33–36

[16] A. Leonenkov, Nechetkoe modelirovanie v srede MATLAB i fuzzyTECH, BHV Peterburg, SPb., 2003, 736 pp.

[17] V. M. Shumskij, L. A. Zyrjanova, Inzhenernye zadachi v neftepererabotke i neftehimii, Himiia, M., 1981, 357 pp.

[18] Yu. V. Sharikov, P. A. Petrov, “Universal model for catalytic reforming”, Chem. Pet. Eng., 43 (2007), 580–597 | DOI

[19] B. B. Orazbayev, K. N. Orazbayeva, L. T. Kurmangaziyeva, V. E. Makhatova, “Multi-criteria optimisation problems for chemical engineering systems and algorithms for their solution based on fuzzy mathematical methods”, EXCLI Journal, 14 (2015), 984–998

[20] S. A. Orlovskij, Problemy priniatiia reshenij pri nechetkoj ishodnoj informacii, M., 1981, 310 pp.

[21] Ju. P. Zajchenko, Issledovanie operacii: nechetkaia optimizaciia, Vyshha shkola, Kiev, 1991, 278 pp.

[22] Yu. Pershin, “Pareto-optimal and lexicographic solutions of mixed-integer problems that are linear with respect to continuous variables”, Automation and Remote Control, 55:2 (1994), 263–270 | MR | Zbl

[23] B. B. Orazbaev, L. T. Kurmangazieva, Modelirovanie, optimizaciia i priniatiie reshenij v nechetkoj srede, Lambert Academic Publishing, Searbrucken, Deutschland, 2015, 157 pp.