Construction of a controller for discrete inventory management systems based on forecast

Effective management of product balances in warehouses is a necessary condition for the proper functioning of a trading enterprise. Such management models are aimed at reducing the company's overall costs, increasing the company's profitability, and maintaining a reasonable balance between reducing frozen product balances and avoiding shortages. When solving the problem of inventory management, the effective distribution of goods between individual groups is also important. Since in most economic problems, information about the state of the system arrives at fixed points in time, inventory management problems are most often discrete models. The state of such a system is described using differential equations. The purpose of this research is to build a regulator, the parameters of which are chosen under the condition that the remaining goods in the company's warehouses are sufficient to ensure the level of sales that corresponds to the forecasted sales volume. A discrete system for managing product balances in warehouses of a trading company is being built. This system consists of a difference equation describing a state vector (remains of goods in certain periods of time are distributed among groups), an initial condition, and a regulator. An additional condition is imposed on the regulator - the non-negativity of its components, since these components are the values of costs for replenishing stocks of goods. To solve the problem of effective balance management, a sales forecast matrix is built, containing the values of sales volumes distributed by product groups for certain time periods. The scientific novelty of the study consists in the creation of a management system that calculates the costs of purchasing or producing goods distributed by group by building a regulator in which the balances of goods correspond to the balances that ensure forecasted sales in each time period. The created management system was tested on real data of a wholesale trade enterprise and implemented in the practice of procurement planning. This allowed the enterprise to effectively manage product balances, preventing the creation of a shortage of goods or, conversely, the acquisition of excess balances, which freezes the company's funds.