The problem of goods distribution over logistic centers

A modern enterprise is a complex and dynamic system actively interacting with the external environment. Currently, effective logistics management is recognized as a key factor in improving the performance of companies and their competitiveness. The econometric methods used in practice do not provide the means to quickly solve a multitude of emerging problems, in particular, the problem of effective operational management of a network marketing organization. In the paper, algorithms for analyzing and solving the problem of distribution of goods by logistics centers, including a decision support system in the case of incorrectness of the arising problem, are proposed: 1) the method of regularizing a decomposable distribution problem reducible to a matrix transport problem; 2) an effective algorithm for approximating an indecomposable problem by a decomposable problem; 3) it is proposed to use marginal profit and the volume of unmet demand as criteria in the decision-making model. For fixed admissible values of exogenous variables, the solution of the decomposable distribution problem is Pareto optimal. The problem of choosing specific values of exogenous variables is difficult to formalize and requires the participation of the decision maker. The software implementation of the proposed algorithms is easily encapsulated in the MS Office system.