The article is devoted to solving the problem associated with the expansion of theoretical, methodological and applied bases for ensuring sustainable socio-economic development of regions and strengthening their financial independence by increasing the volume of gross value added of products manufactured on their territory. One of the topical issues within this problem is the need to develop methods and tools that could be used to model specific value chains in the sectors of the regional economy. The aim of the research is to work out a mathematical toolkit to model value chains in the regional timber industry complex. As a result, we proposed an appropriate toolkit based on the theory and methodology of inter-sectoral balance and technical graph analysis. Through this toolkit, it is possible to calculate the costs required to produce a given number of products characterizing a link in value chains, to optimally reallocate resources not involved in the economy, and to identify the strongest and weakest nodes of the constructed network. We presented the advantages of hybrid models in comparison with their counterparts built with the help of a single narrow-profile mathematical tool. We outlined further directions of development by connecting the concepts and ideas of Markov chains to the model. The scientific significance of the obtained results lies in the development of theoretical, methodological and applied aspects of the formation of value chains in the regional timber industry complex. From a practical point of view, the research materials can be applied in the management processes of the regional timber industry complex, aimed at increasing the efficiency of its functioning and contribution to improving the level of economic sustainability and financial independence of territories
Keywords
forestry, modeling, linear programming, value chains, intersectoral balance, regional forestry complex, graph theory, hybrid