Model for substantiating the characteristics of a material resource inventory management system, taking into account various risk categories

Effective management of material and technical support is one of the key factors of sustainable development while ensuring the required level of flexibility and adaptability of production systems within industrial enterprises. Of particular importance in this context are the issues related to ensuring an effective system for managing multi-item stocks of material resources directly involved in the corresponding production processes. The objective of the study is to develop tools for solving the problem of substantiating the characteristics of a system for managing multi-item stocks of material resources, taking into account the requirements for preventing a shortage of a material resource and exceeding the maximum permissible stock level. The object of the study is a system for managing multi-item stocks of material resources involved in the main technological process of an industrial enterprise. The subject of the study is the characteristics of a system for managing multi-item stocks of material resources involved in the main technological process of an industrial enterprise. The study included a detailed analysis of existing scientific developments in the field of substantiating the characteristics of material resource stock management systems within industrial enterprises, and identifying the shortcomings of the corresponding tools (models, methods, algorithms etc.). An optimization model was developed that provides justification for the characteristics of the management system for multi-item stocks of material resources, taking into account the following risk categories: the risk of a shortage of one or more product items of stocks of material resources; the risk of exceeding the maximum permissible level of stock of material resources for one or more product items. The methodology for optimizing the safety stock for one product item was used as a theoretical basis. The most effective algorithms for implementing the model are based on the generalized decreasing gradient method, which demonstrates high accuracy and convergence rates in relation to the presence of smooth (differentiable) functions, as well as on stochastic global search methods. The developed optimization model was implemented on a practical example – to solve the problem of substantiating the characteristics of the management system for stocks of material resources used in the activities of enterprises in the construction industry. The results of the implementation of the model on a practical example confirmed its high practical significance.