Clarification of the Formalization Process for Models of Economic Dynamics in the Study of the Development of Organizational and Technological Systems

Abstract

The article substantiates the creation and practical development of organizational and technological systems in high-tech production on the basis of the main theory and solution of linear programming problems. The main problem when using models of economic dynamics in creating this type of system is the large dimension of the emerging optimization problems, which prevents the direct use of known computational procedures for solving linear programming problems. To do this, we consider an extreme problem for direct dynamic analysis of the Leontief model using the standard linear programming problem. At the same time, we should not forget about the problem of determining the target functional, the choice of which prevents the choice of the optimal trajectory of development of the simulated system. Due to these difficulties, the need for quality research methods of optimal trajectories to obtain theoretical conclusions for making scientifically sound planning decisions is determined. Theorems on highways describe the qualities of invariance of optimal trajectories of extreme dynamic problems in relation to the purpose of the target functional and to the choice of the optimal trajectory. The theoretical generalizations of Samuelson’s main theory were used in a consulting project on planned studies of the introduction of organizational and technological system for the production of high-tech products at a machine-building enterprise. Keywords system, technology, technology, highway, model, trajectory, programming, functional, vector, function, matrix.