Formation of dynamic balanced models of the supply management mechanism, taking into account investments in cost reduction

The article proposes an interconnected set of management methods and models of management mechanisms in the supply system of a large industrial complex. A dynamic equation has been developed to determine the amount of profit for each supplier at each point in time. A dynamic equation for changing the material flow for the release of components has been formed and an analytical equation for the cost function for the use of materials, equipment and labor resources at each point in time of the production process has been determined. A digital computer model of the mechanism for selecting the volumes of components by each supplier has been obtained, the solution of which made it possible to determine the trajectories of change in the amount of profit at each point in time. It has been shown that the trajectories of income, costs and profit change adequately in accordance with the production situation. The conditions for the efficiency and balance of investment in the production supply system have been determined.