The society's main trend for globalisation requires the restructuring of the global transport system as a whole. The 'Dnieper region' is no exception, as it needs changes in its practice of organising and managing its process of cargo delivery in accordance with the current trends. This paper considered the main solution directions of this problem in the aspect of 'container on barge system' transportation in accordance with the potential of the region. Based on international experience, the competitiveness of the container on barge system can be ensured by applying the different forms of cooperation between the businessplayers. In the case of horizontal cooperation, it's raising the problem of distribution of structural elements of the container on barge system during the container-flows adoption. So, the paper proposed the mathematical decision to