Model of stochastic dynamics of a manufacturing enterprise, taking into account the optimal rates of domestic investment-Reference-Cited by-同舟云学术

Model of stochastic dynamics of a manufacturing enterprise, taking into account the optimal rates of domestic investment

Published:2023-11-20 Issue:3 Volume:14 Page:205-218
ISSN:2782-3008
Container-title:Vestnik of Samara University. Economics and Management
language:
Short-container-title:Vestnik of Samara University. Economics and Management

Author:

Ilyina Elena A.^ORCID,Saraev Leonid A.^ORCID

Abstract

In the published article, a new economic and mathematical model of the stochastic dynamics of the development of a multifactorial manufacturing enterprise is proposed, the restoration of resources of which is provided by internal investments. Forecasting the growth of output volumes, production costs, profits and depreciation deductions is described by a system of stochastic differential equations. It is shown that the dynamics of optimal development of an enterprise, within which it enters production capacities that correspond to maximum profit, correspond to effective coefficients of internal investment rates, for the calculation of which a special system of equations is established. It is shown that the choice of inefficient coefficients of internal investment rates does not allow the enterprise to ensure its maximum profit.

Publisher

Samara National Research University

Reference41 articles.

1. Harrod R.F. The Trade Cycle. Oxford: Clarendon Press, 1936, 234 p. Available at: https://archive.org/details/tradecycle0000unse/mode/2up.

2. Capital Expansion, Rate of Growth, and Employment

3. A Contribution to the Theory of Economic Growth

4. Swan T.W. Economic Growth and Capital Accumulation // Economic Record. November 1956, vol. 32, issue 2, pp. 334–361. Available at: https://econpapers.repec.org/scripts/redir.pf?u=http%3A%2F %2Fhdl.handle.net%2F10.1111 %2Fj.1475-4932.1956.tb00434.x;h=repec:bla:ecorec:v:32:y:1956:i:2:p:334-361.

5. Kuznets S. Long Swings in the Growth of Population and in Related Economic Variables. Proceedings of the American Philosophical Society, 1958, vol. 102, no. 1, pp. 25–52. Available at: https://www.jstor.org/stable/985303.