ECONOMIC AND MATHEMATICAL MODELS FOR OPTIMIZING OF PRODUCT PORTFOLIO OF LOGGING ENTERPRISES TAKING INTO ACCOUNT THE MULTIVARIATE OUTPUT OF ASSORTMENTS FROM THE FOREST RAW MATERIAL BASE
The problem of optimization of product portfolio of logging enterprises is considered. Unlike the traditional approach to solving this problem, the forest resources are considered as a flexible system, adjusted to the needs of the participants of the forest products market. This approach is due to the fact that the trunk of the tree can be cross-cut in various ways to produce timber for different purposes. The task of optimizing the portfolio of orders is solved by mathematical programming. Mathematical models that were used to substantiate the order portfolio of enterprises of the timber industry complex are described. As the objective function of mathematical models, expressions are proposed that maximize the profit of either a particular logging enterprise or their aggregate. Also, as an objective function, it is proposed to use the expression maximizing the profit of a timber enterprise with a minimum profit. Models allow to determine the values of optimal product portfolio for logging enterprises taking into account: the characteristics of the subject of labor; taking into account the possibility of managing the output of assortments; costs for converting the subject of labor into finished products; contractual agreements between enterprises of the industry; capacity of enterprises for harvesting and processing of wood biomass; individual features of the enterprises of the industry that preclude the bankruptcy of individual logging enterprises. Also, the models allow you to receive recommendations on how to truss the trunks.