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DEA analysis of the efficiency of the single-industry city's economy

Vazhdaev A.N. Yurga Institute of Technology, Branch of National Research Tomsk Polytechnic University, Yurga, Kemerovo Oblast, Russian Federation ( )

Mitsel' A.A. Tomsk State University of Control Systems and Radioelectronics (TUSUR), Tomsk, Russian Federation ( )

Journal: Regional Economics: Theory and Practice, #12, 2017

Importance This article discusses the issues of analysis of the effectiveness of various branches of small business economy in a single-industry town.
Objectives The article aims to analyze the effectiveness of various small business sectors' development based on correlation data between the city indicators and the aggregated small business ones.
Methods The Data Envelopment Analysis (DEA) method was used to analyze the performance of different small business sectors on a per-industry basis. The research applies a DEA output-oriented model. To successfully solve the analysis task, the source data has been modified in such a way that the link between input and output is directly proportional, as required in the DEA model.
Results The results obtained made it possible to visualize the changes in the performance of the considered sectors of urban economy during the survey period.
Conclusions and Relevance The analysis suggests that it is possible to apply the DEA method together with the modification of the survey data, both in the primary economic analysis and in the ongoing monitoring of the performance of individual industries. The described method of DEA performance analysis can encourage small businesses to develop an optimal strategy for their own development in the city's economy.

One-factor dynamic model to manage small businesses in a single-industry city

Vazhdaev A.N. Yurga Technological Institute (Branch) of National Research Tomsk Polytechnic University, Yurga, Russian Federation ( )

Mitsel' A.A. Tomsk State University of Control Systems and Radioelectronics, Tomsk, Russian Federation ( )

Journal: Economic Analysis: Theory and Practice, #5, 2018

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.

Mathematical model trajectory movement of investment projects

Micel A.A. doctor of the technical sciences, professor of chair the automated control systems, Tomsk State University of Control Systems and Radioelectronics ( )

Vazhdaev A.N. candidate of technical sciences, major lecturer of chair the information systems, Yurga Institute of Technology of National Research Tomsk Polytechnic University ( )

Journal: Economic Analysis: Theory and Practice, #40, 2010

In the article the new mathematical model, which makes it possible to track the trajectories of the motion of the interacting investment projects of the within the framework one enterprise of small business, is proposed. The trajectory prediction of the motion of investment projects with the use of the created model makes it possible to see the tendencies of the motion of the projects of the enterprise of small business.

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