Model of Innovative Development of Production Systems Based on the Methodology of Optimal Aggregation

Abstract

The mathematical model of the integrated system “innovation, development, production” has been developed, software implemented and studied. The development is based on methodologies of applied system analysis and optimal aggregation of production systems. Analogues are analyzed: a model of a three-level ecological system, a model of the production system “production, development, innovation” on the basis of a ternary operator of optimal aggregation. The new development uses the binary operator of optimal aggregation “production, development”, the essence of which is the optimal distribution of the “resource quantum” between the subsystems “production” and “development”, the “resource quantum” is allocated for a finite time interval. Optimal control is obtained as a function of the duration of the interval and the magnitude of the resource quantum.