Тhe article considers the methodological approach to obtain quantitative regularities, which simulate the processes of updating and reproduction of enterprises' production assets. According to the concept adopted in the study, first of all, a scheme of fixed assets' movement (retirement, introduction of new, time exploitation) is being developed, which is used for analysis of cash flows and their transformation. Depending on such factors, by drawing up certain balance ratios an equation is obtained for determining the growth rates of fixed assets. As a share of profit’s capitalization, profitability of fixed assets, the duration of their use, the rate of depreciation. The peculiarity of the received dependencies is that the pace is not determined explicitly through argument-factors. The number of iterations are use to approximate those dependencies. The equation for determining the pace is adjusted in the form of availability in addition to the basic and working capital, which in many enterprises make a significant share in the total assets. It is proved that with a greater share of working capital the reproduction resources are reduced and, accordingly, the effect of depreciation turnover. The analysis showed the convergence of the applied approach with the known method of net present value, which is used for the economic evaluation of investments. The modeling of the production development at the level of the analysis of the quantitative influence of the separate parameters of the basic and new technologies on the change of technical and economic indicators of production systems is also considered. The appropriate quantitative dependencies are obtained under the condition, that the growth rate of fixed assets is already known. The analysis of dependencies obtained for the determination of the growth rate of products showed that they generally differ from the growth rates of fixed assets in accordance with the ratio of capital productivity indicators for basic and new technology. This difference in rates in a quantitative measurement depends on the indicator of the renewal of fixed assets, in which the terms of service engineering play an important role. A simple, but sufficiently adequate approximate formula for determining the index of renewal of fixed assets is proposed. Numerical interpretation of analytical developments with corresponding conclusions is carried out.