The article considers the theoretical and methodological and practical principles of logistics processes management. Current trends in logistics development are outlined. It is shown that the trends demonstrate active implementation in the management processes of the elements of Logistics 4.0. The expediency of using economic-mathematical methods and models to solve logistics tasks is reasoned. An overview of ecommerce processes, typical for today, both in the world and in Ukraine, which directly cause changes in logistics, is made. The problem of optimization of transport costs for delivery of goods from the warehouses of the online store "Hope" to customers, taking into account the non-stationarity (seasonality) factor is defined. The economic-mathematical model of the problem of logistics processes management has been built and adapted as follows: selection of two seasonally-leased warehouses from five reserve ones and optimization of transport costs for delivery of goods from warehouses of the online store to customers. This optimization model was implemented to solve the problem of optimizing logistics costs for the online store "Hope", taking into account seasonal demand, transport tariffs, warehouses capacity and forecasted sales volumes. Various ways to solve the problem of logistics process management, which allows us to show the additional benefits of using these methods and determine the effectiveness of the decision taken are considered as well. The solution for the choice of warehouses and the optimal plan for delivery of goods to customers in order to minimize transportation costs is obtained. It is shown that with the use of economic and mathematical modeling to solve the problem of seasonally adaptive transition for logistics process management, it is possible to make the best choice of two additional leased warehouses from the five reserve ones, to find the optimal delivery plan, to reduce the total length of delivery route and, consequently, the costs of transportation of goods, to avoid shortages of goods in warehouses, in a timely manner and with minimal costs to satisfy the interests of customers of online store "Hope" goods. The economic interpretation of the results of the models implementation is presented and recommendations for their use are provided to achieve minimization of transportation costs, maximum flexibility, speed, reliability of the supply chain, ie to make effective management decisions.
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