## 3 Materials and Methods  
### Statement of Research  
The information provided in Section 2 confirms the relevance of the distribution of the communication resources of the cellular communication base station between the elements of the set of selected logical virtual network segments. A characteristic feature of this radio resource allocation technology is the independence of virtual network segments both at the computing resource frequency level and at the active service level. Independence means that for a given base station, the values of service quality indicators in a particular virtual network segment are not affected by the operation of the other virtual network segments. The implementation quality of such network virtualization technology is entirely determined by the efficiency of the target control software mechanism, which operates at the level of the information environment of the base station. The creation of such a mechanism is only possible if there is an adequate profile for a mathematical model. Therefore, the present study aims to create a tool to manage the operation of the e-commerce-oriented ecosystem of the 5 Ge base station, the information environment of which supports the functioning of independent virtual network segments. Let us investigate the operation process of the localized e-commerce-oriented ecosystem of the 5 Ge base station, the information environment of which supports the functioning of \(S\) virtual network segments, provided that the control mechanism distributes the \(C\) c.u. of the systemic recourses between them. According to the adopted QoS policy, each \(s\)-th \(s\ \in\ S\) virtual network segment must support information terminal-segment interaction with a speed whose value is in the range of \([a_{s},b_{s}]\), \(a_{s},b_{s}\ \geq\ 0\), \(a_{s}\ \leq\ b_{s}\). The actual value of the rate is a function of the time and number of active sessions of terminal-segment interaction on the scale of the entire information environment of the base station. On the scale of a single virtual network segment, available system resources are evenly distributed between active terminal-segment interaction sessions. We present the concept that was just described as a multi-pipeline queuing system, the inputs of which are consistent with the \(S\) flows of requests to establish terminal-segment interaction with \(S\) virtual network segments, respectively. All of these flows are Poisson with the intensities \(\lambda_{s}\ s\ \in\ S\). All submissions include service information about the desired amount of system resources. The values of these stochastic quantities are distributed according to the exponential law with the parameter \(1/\mu_{s}\ s\ \in\ S\). To support the incoming request received by the \(s\)-th virtual network segment, the control mechanism allocates a finite amount of system resources \(r_{s}\ \in\ [a_{s},b_{s}]\) that determines the actual speed of the address of the terminal-segment information interaction. Thus, the total volume of the system resources that is available creates \(C\) c.u. At each initiation or termination of a terminal-segment information interaction session, the control mechanism redistributes the system resources between the virtual network segments. Thus, the objectives of the research are:  
1. To formalize a mathematical model for the operation process of the e-commerce-oriented ecosystem of the 5 Ge base station, the information environment that supports the functioning of independent virtual network segments, in the queuing theory paradigm;
2. To formulate a functional algorithm for the forced termination of an active terminal-segment information interaction session in the overloaded virtual network segment and the management mechanism needed for the distribution of the released system resources between other virtual network by segments based on the aforementioned mathematical model by taking into account their overload level;
3.