Vazhdaev A.N.Yurga Technological Institute (Branch) of National Research Tomsk Polytechnic University, Yurga, Russian Federation vazhdaev@tpu.ru ORCID id: not available
Mitsel' A.A.Tomsk State University of Control Systems and Radioelectronics, Tomsk, Russian Federation maa@asu.tusur.ru ORCID id: not available
Subject The article considers the economic and mathematical models to manage small businesses by impacting certain socio-economic indicators of monotowns. Objectives The aim is to develop a dynamic economic-mathematical model to manage urban socio-economic indicators for the purpose of sustainable development of small businesses. Methods Applying econometric methods, we identified the most significant micro indicators and mesofactors describing the operations of small businesses and urban settlements, respectively. While solving the problem of optimal control, these indicators were used as parameters of a single-factor dynamic model. Results The proven existence of significant correlation between individual aggregated micro indicators of a small business and chosen mesofactors of a monotown made it possible to build a dynamic model. The calculations carried out based on the constructed model demonstrated a possibility to control each of the micro indicators of small businesses at the desired rate of change and under given constraints. Conclusions The said model enables to organize a process of managing small businesses by impacting one of their micro indicators using the monotown's mesofactors. Under this approach, municipalities at any time can choose the most desirable indicator of a small business and, through the impact of socio-economic indices, contribute to the sustainable development of the urban economy.
Keywords: one-factor dynamic model, small business, monotown, micro indicator, mesofactor
References:
Animitsa E.G., Sbrodova N.V., Ivleva I.V. [Investigating the city's evolution: From onset, prosperity to depression (the single-industry city case)]. Izvestiya Ural'skogo gosudarstvennogo ekonomicheskogo universiteta = Journal of Ural State University of Economics, 2011, no. 2, pp. 41–46. (In Russ.)
Manaeva I.V. [Restructuring of monotown's economics: international practices]. Munitsipal'naya ekonomika = Municipal Economy, 2011, no. 5, pp. 36–37. (In Russ.)
Wigblad R. Community Turnarounds in Declining Company Towns: A Restructuring Model. The Journal of Socio-Economics, 1995, vol. 24, iss. 3, pp. 463–475. URL: Link90018-7
Kolesnik E.A. [Specifics of monotown development in a transition economy]. Munitsipal'naya ekonomika = Municipal Economy, 2004, no. 3, pp. 2–7. (In Russ.)
Manaeva I.V. [Urban economic inequality in the Russian Federation: Indicators, estimation]. Natsional'nye interesy: prioritety i bezopasnost' = National Interests: Priorities and Security, 2016, no. 10, pp. 46–57. URL: Link (In Russ.)
Manaeva I.V. [Specifics of socio-economic inequality in Russian cities]. Ekonomicheskii analiz: teoriya i praktika = Economic Analysis: Theory and Practice, 2017, vol. 16, iss. 5, pp. 960–970. URL: Link (In Russ.)
Lytkin A.I. [Directions of innovative development of a monocity]. Statistika i ekonomika = Statistics and Economics, 2012, no. 1, pp. 44–46. (In Russ.)
Antonova I.S. [Modeling of infrastructure for company town economy diversification]. Vestnik Sibirskogo gosudarstvennogo aerokosmicheskogo universiteta im. akademika M.F. Reshetneva = Vestnik SibSAU, 2016, vol. 17, no. 4, pp. 1104–1112. (In Russ.)
Ivanova O.P., Antonov G.D. [Priority social and economic development areas in factory-based towns]. EKO = ECO, 2017, no. 3, pp. 120–133. (In Russ.)
Trusova K.E. [Features of sustainable development of company towns in the post crisis period]. Politematicheskii setevoi elektronnyi nauchnyi zhurnal Kubanskogo gosudarstvennogo agrarnogo universiteta, 2012, no. 77(03). (In Russ.) URL: Link
Hirschman A.O. Development Projects Observed. Brookings Institution Press, 2011, 68 p.
Rotenberg R.B. [The monocity: a potential replacement for the company town in the Russian Federation]. Ekonomika i upravlenie = Economics and Management, 2013, no. 11, pp. 57–61. (In Russ.)
Antonov G.D., Ivanova O.P., Antonova I.S. [An approach to managing the projects for single-industry town diversification (the Kuzbass case)]. Natsional'nye interesy: prioritety i bezopasnost' = National Interests: Priorities and Security, 2012, no. 7, pp. 15–22. URL: Link (In Russ.)
Trifonov V.A., Valiullina G.N. [Priority social and economic development area as an instrument of diversification of Yurga town]. Elektronnyi nauchnyi zhurnal, 2017, no. 3-2, pp. 233–238. (In Russ.) URL: Link
Manaeva I.V., Rastvortseva S.N. [An economic and mathematical model to forecast socio–economic development of single-industry cities]. Ekonomicheskii analiz: teoriya i praktika = Economic Analysis: Theory and Practice, 2016, no. 10, pp. 131–139. URL: Link (In Russ.)
Manaeva I.V., Rastvortseva S.N. [Methodological tools for assessing the competitiveness of mono-cities]. Regional'naya ekonomika: teoriya i praktika = Regional Economics: Theory and Practice, 2016, no. 5, pp. 23–39. URL: Link (In Russ.)
Balash O.S. [Spatial modeling of population growth rate of Russian cities]. Izvestiya Saratovskogo universiteta. Ser.: Ekonomika. Upravlenie. Pravo = Izvestiya of Saratov University. New Series. Series: Economics. Management. Law, 2014, vol. 14, iss. 1, pp. 80–86. (In Russ.)
Ciccone A., Hall R. Productivity and the Density of Economic Activity. The American Economic Review, 1996, vol. 86, iss. 1, pp. 54–70.
Capello R., Faggian A. An Economic-Ecological Model of Urban Growth and Urban Externalities: Empirical Evidence from Italy. Ecological Economics, 2002, vol. 40, iss. 2, pp. 181–198. URL: Link00252-X
Volkov A.A., Zaitsev A.G., Tokmakova E.V. [Definition of priorities of development of the region on the basis of economic-mathematical modelling of its economic potential]. Regional'naya ekonomika: teoriya i praktika = Regional Economics: Theory and Practice, 2015, no. 37, pp. 34–43. URL: Link (In Russ.)
Markov V.A. [Information technology and spatial models in the analysis of regional localization and globalization of unemployment]. Informatsionnaya bezopasnost' regiona =Information Security of the Region, 2015, no. 2, pp. 21–27. (In Russ.)
Mitsel' A.A., Kozlov S.V., Korepanov K.V. [Information management system the profit of the enterprise]. Upravlenie ekonomicheskimi sistemami, 2016, no. 91. (In Russ.) URL: Link
