Optimizing the Probability of Fog Nodes in a Finite Fog Radio Access Network

Fog radio access network (F-RAN) is an emergent technology that provides a cloud-like services to the end nodes (ENs) at the edge of the network. Reducing the transmission delay is of a great importance to boost the performance of F-RAN, which can be achieved by optimizing the probability of FNs. In this context, this paper proposes a framework to obtain the optimum the probability of FNs that minimizes the transmission delay in a finite F-RAN. The proposed approach shows that the optimum probability of FNs is the real root of a polynomial equation of a degree determined by the path loss exponent (PLE). The results show that optimizing the probability of FNs can significantly reduce the transmission delay. Moreover it shows that the optimum probability of FNs decreases with the PLE and number of deployed nodes.