Fig. 7

Relationship between \(\xi\) and \(\eta _\xi\). The figure presents the relationship between \(\xi\) and \(\eta _\xi\): a \(\eta = 0.8\) and \(n \in \left\{ 100,150,200,250\right\}\); b \(n = 150\) and \(\eta \in \left\{ 0.8,0.85,0.9,0.95\right\}\). We can quantify the modification effect on the forwarding graphs through the relationships between \(\xi\) and the successful receiving probability of SCPs \(\eta _\xi ={{\bar{r}}/n}\) at a IIoT node. We observe that the larger the value of n is, the faster \(\eta _\xi\) increases as \(\xi\) grows. Also the contribution of the increasing of \(\xi\) is much higher with a smaller \(\eta\)