Lviv Politechnic National University

The analysis of the quantitative patterns of the innovative equipment renovation of the
production system, all of which are subordinated to the implementation of the general
program of manufacturing products is made in the article. The study was carried out in such a
way that the replacement of the equipment was considered for each link separately, and then
the effects of the upgrade for the production system as a whole were analyzed. The next main
indicators of the dynamics were selected: the growth rates and the task, which determines their
interrelation with the appropriate factors. The process of innovation renewal was considered
continuously-discrete, as there are discrete events – the release and commissioning of new fixed
assets (FA), which have one-time nature. It is important to get an analytical dependence of the
growth rate of products, taking into account the growth rates of funds, the terms of their
service, as well as parameters characterizing the cost and performance of units of operating
and new equipment. The obtained dependence makes it possible to solve two problems. The
first of these is to determine the rate of growth of production for the specified growth rates of
funds. The second task is to determine the necessary growth rates of funds, which ensure the
planned growth rate of production. The calculations for this task are more complex, since they
require the using of iterative procedures. The results related to the approximate determination
of the renovation rate of the FA through a linear combination of the standard of depreciation
are important along with the rates of their growth. In addition to a transparent economic
interpretation, which makes it possible to simplify the dependencies where the update
indicator is used. In the article calculation on the example of a concrete factory system
consisting of four successive technological units is made. The importance and potential of the
proposed analytical developments is shown.
Key words: innovative renovation, production system, fixed assets, dynamic of the assets,
rates of growth, analytical patterns

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