The results of modelling the problem of supply management of an enterprise using discrete optimization tools are presented. The formulation of the optimization problem of supply management and the found method for its solution are presented. Since there may be cases when the number of variables in the problem is large enough, an algorithm was developed that uses the decomposition of the problem as a solution. A numerical example of the application of the decompositional algorithm for optimizing supplies and comparison of the results using the direct algorithm are given.