# The Impact of Impulsive Traffic on Cellular Internet of Things Network Performance Indicators
## 7 Results  
In this section, we will present the results of applying our mathematical model to the cases under study (mentioned in Section 6) and compare the quality of service in each of the three considered cases.  
Figure 6 shows the dependence of the proportion of lost files on the file transfer speed provided by the allocated resource and the dispersion of the number of group files. We notice that with an increase in the dispersion of files' amount in the group \(\sigma^{2}\), the required resource increases to obtain the same required quality of service \(\pi_{c}=0.05\). For example, to obtain a loss ratio of 0.05 in the normal case (first case) without impulsive file receiving (the dispersion of the number of group files \(\sigma^{2}=0\)), a line speed equal to C\({}_{1}\) = 2 Mbps is needed. In the second case, with a dispersion equal to \(\sigma^{2}=18.6667\), more line speed is needed (C\({}_{2}\) = 3.6 Mbps). In the third case (the worst case), with the highest dispersion of the number of files in the group \(\sigma^{2}=49\), it is clear that the required line speed to obtain the same loss ratio (\(\pi_{c}=0.05\)) is equal to C\({}_{3}\) = 4.1 Mbps, which is double the value of the line speed required in the normal case.  
Figure 7 shows the dependence of the proportion of time on the file transfer speed provided by the allocated resource and the dispersion of the number of group files. We notice that with the increase in the line speed C, the proportion of resource occupancy time \(\pi_{t}\) decreases, but the greater the variance in the number of group files \(\sigma^{2}\), the more file transfer speed C is required to obtain the same required share of resource occupancy time \(\pi_{t}\).  
Figure 8 shows the dependence of the proportion of average file servicing on the file transfer speed provided by the allocated resource and the dispersion of the number of group files. We notice that with an increase in the variance in the amount of group files \(\sigma^{2}\), the average number of busy channels m (serving rate) significantly decreases. For example, in the first scenario, a line speed equal to C\({}_{1}\) = 2.5 Mbps is needed to obtain an average  
of 15 files in service (m = 15 files), while in the third scenario (impulsive case), a greater line speed is needed (C\({}_{3}\) > 5 Mbps) to obtain the same average number of files in service (m = 15 files).  
Figure 6: Dependence of the proportion of lost files on the file transfer speed provided by the allocated resource and the dispersion of the amount of group files [author’s own processing].  
Figure 7: Dependence of the time proportion of resource occupancy on the file transfer speed provided by the allocated resource and the variance of the amount of group files [author’s own processing].  
From the above discussion, the values of the indicators under study are affected by the impulsive nature of the file reception. This is clearly demonstrated by the results of the issue of determining how much resource is necessary to transmit incoming traffic at a certain level of quality.  
Telecom operators should take the results obtained in this study into account when planning CIoT networks in order to avoid falling into unsatisfactory QoS situations.