Mathematical model for determining the optimal level of the total stock of commercial wood based on a system approach

This scientific article notes the need for rational planning for the creation of commercial timber reserves, and in this regard, the need to improve the efficiency of inventory management of a logging enterprise. By analyzing the scientific literature on the issues under consideration, the specifics of the formation of reserves at forestry enterprises have been identified: options for the functioning of the structure of the commodity distribution system of a logging enterprise have been substantiated, depending on the harvesting technology used and the technological transportation scheme used; schemes for the formation of commercial timber reserves were determined depending on the structure of the commodity distribution system and an analysis of their functioning was carried out. The importance of finding an effective solution to the problem of inventory management in the forestry industry is noted. Through the analysis of specialized literature: it was found that various optimization models are proposed as a solution to the problem of inventory management; It was revealed that when developing methodological studies aimed at determining the optimal level of reserves, it is advisable to use dynamic and stochastic modeling tools together with elements of statistical and economic analysis. The necessity of applying a systematic approach to the modeling object is substantiated. It allows us to consider the elements (structural units) of the structure of the commodity distribution system of a logging enterprise as a single whole, as well as to carry out integrated management of commercial timber reserves in this system, taking into account the scheme of their formation. The basis of the model proposed by the authors is: elements of statistical and economic analysis; techniques of linear and dynamic programming; methodological apparatus of systemic and sectoral approaches, economic-mathematical and stochastic modeling. The combination of the listed tools used for development makes it possible for the model to determine the optimal level of the total stock of commercial wood based on a systems approach to be: flexible to changes associated with both the spatiotemporal dynamics of the production environment and the harvesting and removal technology used; quite easy to use; universal for various production conditions. The methodological study is presented with a detailed description of all the dependencies included in it, and the advantages of its application are noted.

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