Abstract. 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.Interaction with the outer environment of every economical subject including both industrial plants and service organizations [1], as well as commercial wholesale and retail networks, can be evaluated using a lot of various reference values. The primary task of managers of these organizations consists in finding ways of the most efficient use of their business' potential, as well as covering the maximum number of consumers. The omnichannel interaction implements the front-edge technologies [2] of the digital economy. First of all, we should note the intrinsic possibility to work with large numbers of customers sometimes even with exact personality. Besides, we should take into consideration the possibility to use the entire history of the customer's preferences and purchases. This issue, as well as implementation of the technologies of targeted approach [3,4], make it possible to formalize the process of mutual influence of the basic indexes of the business performance and use a well-developed set of mathematical methods to take optimal decisions [5].