Abstract

One of the optimization tasks in logistics chains is determining the optimal number and location of distribution centers, which allows companies to reduce delivery costs, shorten delivery time, and ensure more reliable and stable delivery of goods to consumers. This, in turn, increases customer satisfaction and contributes to the formation of high customer loyalty to the business. Additionally, optimal placement of distribution centers helps reduce road congestion and decrease emissions of harmful substances, promoting sustainable development and environmental preservation. The study analyzed the peculiarities of the methods used in sales logistics for determining the optimal location of distribution centers. The limitations of existing methods for determining the optimal coordinates for locating distribution centers on a road segment were substantiated. The validity of the constraint that the coordinates of distribution centers should coincide with the coordinates of certain customers of the distribution centers was confirmed. A suitable method for solving practical problems was proposed for finding optimal solutions regarding the service area and location of two or more distribution centers on a road segment. The proposed method assumes that the coordinates of the distribution centers coincide with the coordinates of individual consumers. The functionality of the method was demonstrated through a case study. The method was tested on thirty-three examples where eleven customers of distribution centers were located on a 100 km road segment. Each example contained unique values of indicators such as "customer's cargo turnover for a period" and "freight transportation tariff." In all cases, the results of the proposed method in the study matched 100% with the results of the method of complete recalculation (MCR). The method presented in the study for determining the optimal coordinates for locating distribution centers on a road segment is considered reliable. Further research should involve testing the method on examples with a larger number of customers and a larger number of distribution centers.

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