10.26731/2658-3704.2021.3(11).1-8
The article is devoted to the application of regression models as a tool for developing specific plans for the development of socio-economic systems. The problem of nonlinear programming on the choice of the optimal action plan to achieve a given level of development of the socio-economic system in the shortest time is formulated. Also, a nonlinear programming problem is formulated on the choice of the closest to a profitable action plan to achieve a given level of development of the socio-economic system in a specified time interval. Computational experiments have been carried out to confirm the correctness of the proposed mathematical apparatus.
1.
1. Sirotina N.A., Kopoteva A.V., Zatonskij A.V. Metod konechno-raznostnogo social'no-jekonomicheskogo prognozirovanija [Method of finite-difference socio-economic forecasting]. Prikladnaja matematika i voprosy upravlenija [Applied Mathematics and Management Issues]. 2021, no. 1, pp. 174-189.
2. Noskov S.I. Tehnologija modelirovanija ob’ektov s nestabil'nym funkcionirovaniem i neopredelennost'ju v dannyh [Modeling technology for objects with unstable operation and data uncertainty]. Irkutsk, RIC GP «Oblinformpechat'» Publ., 1996. 321 р.
3. Bazilevskiy M.P. Fundamental'nyy blok algoritmov postroeniya khorosho interpretiruemykh kachestvennykh regressionnykh modeley [Fundamental block of algorithms for constructing well-interpreted qualitative regression models]. Informatsionnye tekhnologii i matematicheskoe modelirovanie v upravlenii slozhnymi sistemami [Information technology and mathematical modeling in the management of complex systems]. 2020, no. 3, vol. 8, pp. 1-10.
4. Bazilevskiy M.P. MNK-otsenivanie parametrov spetsifitsirovannykh na osnove funktsiy Leont'eva dvukhfaktornykh modeley regressii [OLS estimation of parameters of two-factor regression models specified on the basis of Leontiev functions]. Yuzhno-Sibirskiy nauchnyy vestnik [South Siberian Scientific Bulletin]. 2019, no. 2, vol. 26, pp. 66-70.
5. Noskov S.I., Khonyakov A.A. Programmnyy kompleks postroeniya nekotorykh tipov kusochno-lineynykh regressiy [A software package for constructing some types of piecewise linear regressions]. Informatsionnye tekhnologii i matematicheskoe modelirovanie v upravlenii slozhnymi sistemami [Information technology and mathematical modeling in the management of complex systems]. 2019, no. 3, vol. 4, pp. 47-55.
6. Bazilevskij M.P., Noskov S.I. Formalizacija zadachi postroenija linejno-mul'tiplikativnoj regressii v vide zadachi chastichno-bulevogo linejnogo programmirovanija [Formalization of the problem of constructing linear multiplicative regression as a partial boolean linear programming problem]. Sovremennye tehnologii. Sistemnyj analiz. Modelirovanie [Modern technologies. System analysis. Modeling]. 2017, no. 3, vol. 55, pp. 101-105.
7. Bazilevskij M.P., Noskov S.I. Ocenivanie indeksnyh modelej regressii s pomoshh'ju metoda naimen'shih modulej [Estimating Index Regression Models Using Least Modules]. Vestnik Rossijskogo novogo universiteta. Serija: Slozhnye sistemy: modeli, analiz i upravlenie [Bulletin of the Russian New University. Series: Complex Systems: Models, Analysis and Management]. 2020, no. 1, pp. 17-23.
8. Bazilevskiy M.P. Otsenivanie lineyno-neelementarnykh regressionnykh modeley s pomoshch'yu metoda naimen'shikh kvadratov [Estimating Linear Non-Elementary Regression Models Using Least Squares]. Modelirovanie, optimizatsiya i informatsionnye tekhnologii [Modeling, optimization and information technology]. 2020, no. 4, vol. 31, pp. 26-27.
9. Bazilevskiy M.P. Otbor informativnykh operatsiy pri postroenii lineyno-neelementarnykh regressionnykh modeley [Selection of informative operations in the construction of linear non-elementary regression models]. International Journal of Open Information Technologies. 2021, vol. 9, no. 5, pp. 30-35.
10. Bazilevskiy M.P. Postroenie stepenno-pokazatel'nykh regressionnykh modeley i ikh interpretatsiya [Construction of power-exponential regression models and their interpretation]. Vestnik Voronezhskogo gosudarstvennogo universiteta. Seriya: Sistemnyy analiz i informatsionnye tekhnologii [Voronezh State University Bulletin. Series: System Analysis and Information Technology]. 2020, no. 4, pp. 19-28.