THE UNIVERSALITY OF NONLINEAR SYSTEMS AND THEIR DESCRIPTION IN THE AREA OF MODERN PRODUCTION

The article discusses the five-element modelling of a nonlinear system. In most cases, the nonlinearity is resolved between two objects that interact with each other. For example, the relationship between production and maintenance is non-linear. If the production system is inherently reliable, the maintenance requirements are lower. Such a system is often inefficient and expensive. On the other hand, a more powerful but less reliable system requires higher maintenance requirements. The system is cheaper, but costs are higher for maintenance. These are dynamically changing systems, where it is necessary to find an appropriate balance between maintenance costs and production costs at every moment. In the background of such non-linear systems are mathematical models which, when simplifying relationships, have five objects with the same properties. Mathematical objects are supported in some relationships and suppressed in others. Together, however, they create a stable dynamic system that can be used to model, among other things, the production relations of companies.