Numerical methods for optimizing logistics systems in the process of inventory management

Scientists have always faced the task of evaluating the effectiveness of the functioning of complex systems, which unambiguously include logistics systems of transport (water, air, rail, automobile and their combinations) and stocks of products (goods), which (stocks of goods) are in static (warehouses) and dynamic (transport) states over time. A huge amount of theoretical material has been accumulated in this field of knowledge, which has been repeatedly tested and successfully applied, especially in relation to logistics systems. However, as is known, on the basis of an efficiency assessment, similar systems are compared, the operation of the systems is promptly evaluated, the system's compliance with its purpose is checked, the presence or absence of targeted targeting is found out, etc. Hence, the relevance of the mathematical apparatus (numerical methods) for optimizing stocks of products (goods) is determined as a calculation for reasoned decision-making on effective inventory management using transport and storage capacities on an economic basis: the objective function is to minimize costs. Cost reduction in the processes of functioning of logistics systems due to the action of two basic laws – the law of saving time and the law of conservation of energy is one of the main modern directions for increasing their efficiency as complex systems [1-5]. Therefore, the optimization of logistics systems according to the criterion of costs (losses) in the processes of their functioning is defined as the formulation of the research task. The aim of the work is to develop the application of numerical methods for optimizing logistics systems in the process of inventory management. The novelty consists in the application of numerical methods and the calculated ratios obtained, which can be used in the practice of the logistics system of water, air, rail and road transport for inventory management by optimizing the determined losses (costs). The result consists in the developed method of studying theoretically calculated losses occurring in the processes of functioning of logistics systems of all types of transport and their combinations (hereinafter transport). The theoretical significance of the results obtained is the development of the application of numerical methods for optimizing logistics systems in the process of inventory management, including: a set of factors and criteria for optimizing logistics processes; a method for modeling and optimizing the processes of functioning of logistics transport systems; a method for analyzing losses in the processes of functioning of logistics transport systems. These theoretical provisions make it possible to optimize the processes of functioning of logistics transport systems and, ultimately, to increase the efficiency of providing consumers, which is of important socio-economic importance.