Scientific Journal of KubSAU

The state of any economic system depends on the values of its parameters, both in the current period and at previous times. Therefore, in the process of optimization of production management, it is necessary to take into account this feature of the development of the systems under consideration. The most important task of economic research is the establishment of an equilibrium price. The most suitable hysteresis converters for solving this problem, the formal description of which is based on their operator interpretation. However, at present, when analyzing the functions of supply and demand, a cobweb-like model and its analogues are used, as a rule. This article discusses the unresolved problem of optimizing production under conditions of hysteresis pricing and competition. Taking into account that their mathematical modeling is the main method of analyzing economic systems with hysteresis properties, different pricing models (discrete and continuous) are considered in the article, as well as economic and mathematical tools for optimizing production activity under hysteresis pricing conditions. The developed models can be used to increase the adequacy of the formal mathematical description of the corresponding systems, which is the basis for more accurate forecasts of their development. In the conditions of hysteresis pricing, production optimization algorithms will allow to create optimal (in terms of achieving maximum profit) price and production strategies for the development of economic systems