Economically Optimal Digital Solutions to Manage Integrated Network Flows

The development of the industrial Internet of things, the standardization of data exchange protocols, is one of the drivers that makes the modern world big business follow the main trend of integrating into commercial networks. The concept of digital interaction and the construction of multi-level structures of complex topology have caused the urgent need to develop algorithms to manage integrated flows in such networks. The solutions, which are built on these algorithms, form the basis of software for servers that control all business processes. To develop them, it is necessary to use mathematical modeling and methods of optimization theory, taking into consideration the stochastic nature of working conditions. The enterprise economic efficiency is one of the main criteria. A special feature of this task is the implementation and information anisotropy of commercial networks, as well as the heterogeneity of distribution and autonomization of resources. Today, most of the networks are among the transnational corporations. Although the exchange of business data takes place in real time, the material flows of goods or raw materials are regullated by various national laws. This leads to customs procedures, a number of restrictions in moving across borders, and it requires taking into account the distribution of processes in space and time. The paper considers the conditions for forming optimal algorithms of digital interaction in the nodes of a commercial network. The authors proposed the methods to solve this problem with the help of the complicated bulk-service algorithm multiserver system QS. They showed the practical application in the conditions of the industrial Internet of things, and mathematically calculated algorithms as a basis of the software to manage the operating distribution centers. They gave an example of practical application in the conditions of the industrial Internet of things and the mathematical algorithms that underlie the software to manage existing distribution centers. Keywords—algorithm; control; multimodal; digital; intermachine interaction; math model