Mathematical modeling of intra-company cash flows of an integrated production structure

The article deals with the problems of developing economic and mathematical tools for models and methods of optimal management of intra-firm cash flows of a large integrated production structure: a group of enterprises United by production and technological characteristics, or a vertically integrated holding company on a sequence of time intervals. The corresponding statement of the problem is given, and the following criteria are justified: optimality criteria, intra-and inter-period restrictions on the elements of cash flows, and the choice of exogenous and endogenous parameters of the model. As an important example, on the basis of which it is proposed to consider the impact of managed parameters on the amount of cash flows and the effectiveness of joint operating activities of enterprises of the integrated group, a case is selected that assumes the possibility of presenting the production functions of enterprises in the holding in the neoclassical version. For this case, empirical calculations of the dynamics of cash flows of the management company and structural divisions of the integrated group were performed on the selected sequence of time intervals...