Bilinear Relational Neighborhood Model of the Stage of Diffusion of Sugar Production Based on the Heat Balance Equation
About this article
Abstract
In this paper, the problem of mathematical modeling of the stage of diffusion of sugar production is considered. To build the model, a combined approach is used: the structural identification based on the relational neighborhood scheme is refined with the help of the physical equation of the heat balance and then the parametric identification of the coefficients is performed using standard regression methods. The resulting model is bilinear. The corresponding model, resolved with respect to critically important temperature parameters, is fractional-bilinear. Parametric identification of the model is based on seasonal sampling of production data, the sample size is more than 10000.
Keywords
- .
References
[1] Blyumin S.L., Shmyrin A.M, (2005), Neighborhood system. Li-petsk: LEGI.
[2] Shmyrin A.M., Kanyugina A.S, Kuznetsov A.P, (2017), Relation-al Neighborhood Model for Diffusion, Stage of Sugar Production, International Journal of Applied Engineering Research, Vol.12, No. 12, pp. 3151-3156.
[3] Shmyrin, A.M., Mishachev, N.M., Kosareva, A.S, Block-neighborhood regression model stage diffusion of sugar produc-tion, Modern techniques of applied mathematics, control theory and computer technology: Sat. tr. IX Intern. Conf. "PMTUKT 2016", Voronezh, Publishing house "Science Book", pp. 406-409.
[4] Shmyrin А.М., Mishachev N.М., Kanyugina A.S., Kanyugin A.A., Bogatyrev V.O, (2017), Parametric identification of linear block-regression neighborhood model for diffusion stage of sugar production, Modern informatization problems in the tech-nological and telecommunication systems analysis and synthesis: Proceedings of the XXII-th International, Open Science Confer-ence (Yelm, WA, USA, January 2017), pp. 360-365.
[5] Sapronov, A.R, (1983), "Sugar technology", Moscow, Light and Food industry, p. 232.