Management of Reproduction of the Fixed Capital of the Agricultural Enterprises by Method of Economic and Mathematical Modeling

The state program for the development of agriculture and regulation of markets for agricultural products, raw materials and foodstuffs for 2013-2020 primarily aims to ensure the food security of the Russian Federation taking into account the economic and territorial availability of agricultural products, the achievement of which in modern economic conditions is not possible without the technical modernization of rural economy enterprises. However, the state support of agricultural producers in this direction does not lead to achievement of the specified indicators, while the rates of renewal of fixed assets against the background of growing wear continue to slow down. In addition, a low level of quality management in reproduction of fixed assets causes a decrease in the effectiveness of their use in agriculture. In the modern economic environment, the quality of management decisions is largely determined by the use of economic and mathematical methods and methods of economic research. The use of correlation-regression analysis made it possible to obtain a multifactor model for the efficiency of the use of fixed assets by agricultural enterprises in the Ulyanovsk region. Neural network analysis of factorial and resultant indicators conducted by the method of self-organizing Kohonen maps with the help of the software product Deductor revealed regularities of the "clustering" type and formed the rules of clustering. Analysis of the color gamut of the maps and cluster profiles showed that the most significant indicators for the return on assets which is the main indicator of effective management of fixed assets are the degree of renewal of fixed assets, current assets value per 100 rubles of fixed assets, the share of the active part of funds, the degree of depreciation of fixed assets. The analysis revealed that in the conditions of the Ulyanovsk region the effectiveness of fixed assets management is due to a higher degree of the fund renewal and the ratio of the current to fixed asset values, and also due to less wear rate.