摘要：The practical implementation of the concept “Industry 4.0” entirely depends on the level of coordination between businesses, organizations and the entire group of consumers. The dominating comprehension of such interaction as a net of complex topology where nodes act as objects that have an interface a surface for contacts, results in a neuro-net-concept or the Web 4.0. Within the framework of the Russian national program “National Technological Initiative”, the development of this direction is considered as one of the main priorities. The quality of implementation of the system interaction in this paradigm is greatly influenced by algorithms used in the cloud servers of the nodes included into the structure of the Web 4.0. Besides, operation of businesses in the conditions of global markets will take place in the situation of strict competition and solutions forming the basis of the software have to be based on the scientific approach with the use of the methods of optimization and mathematical models. As the competition in the commercial sphere turned into the contest between the economic efficiency of on-line platforms, this work proposes a particular implementation of the algorithm of omni-channel interaction formed on the basis of a mathematical model.
