© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.The article describes stochastic optimization models of enterprise inventory management, taking into account the uncertainty of demand, which, according to most authors, is the main carrier of uncertainty in inventory management systems. As distribution laws describing this uncertainty, a triangular distribution is considered, which can be obtained in practice by expert assessment methods, for example, in the absence of a sufficient volume of statistical data. Formalization of the problems of finding the optimal delivery volume and their solution by analytical methods for goods of two types, namely, with a long shelf life and with a limited shelf life, are given. Four types of costs are taken into account, namely, storage costs (arising from the formation of unrealized surplus goods), costs of losing customers and calculating penalties (arising when it is impossible to fully meet the demand of a given period), as well as costs associated with the transportation, disposal or destruction of expired goods. which arise in the event of the formation of an unrealizable balance for goods with a limited shelf life.