Mathematical modelling of a farm enterprise value on the agricultural market with the method of restructuring ordered sets

Abstract

There is a set of farm enterprise elements to be assessed in terms of the effectiveness of their functioning, and there is a set of criteria for assessment of this effectiveness. An algorithm is needed that connects the elements and criteria, and allows determining the optimal variant of this system functioning for building of a mathematical model of the farm enterprise value on the agricultural market. Building of such model is possible with the model of ordered sets restructuring. The relevance of the problem is stipulated by the need to raise Russian farms to the level of peasant farms in the advanced countries. In 24 of the world's most developed countries, farms enjoy significant financial support from the state, reaching up to 40% of their total income [1]. Subsidies in the EU countries reached 45-50% of the value of commodity output produced by farmers, in Japan and Finland - 70, in Russia - only 3.5% [2]. This financing gap entailed a number of negative consequences. Over the past 20 years, the rural population has decreased very significantly (by 50-70%) in many areas of the Non-chernozem belt and in some areas of the Chernozem belt in the European part of Russia [3]. Commodity production also decreased. In order to eliminate negative trends, the country's authorities began to practice subsidies. In 2013, the Russian government began providing subsidies in the form of grants in the amount of 1.5 million rubles (and a one-off payment for arrangement – 250 thousand rubles), and in 2017 raised the bar to 3,439 thousand rubles [4]. Subsidization is a positive factor, but it is necessary that it be optimal, that is, create the greatest effect in the development of peasant farms.

The purpose of the article is to create an objective criterion for determining the perspective direction in farms formation. The current practice of allocating investments to farms is subjective (by decision of the entities that are members of the relevant commissions). The objective criterion should not depend on the entities. The leading approach to the study of this problem is the development of an economic-mathematical model of such a criterion that completely excludes a subjective approach to such problems.

The main result of the article is the development of an economic-mathematical algorithm for determining the most efficient farm enterprise by the method of restructuring ordered sets. The materials of the article can be useful to students of agricultural universities, farm managers and workers occupied in the agrarian sphere, connected with the formation of highly profitable farms.

Keywords: farm enterprise, value, mathematical model, method of restructuring