This paper propose a novel algorithm for optimizing the performance of frequency hopping OFDM communication network. By taking the location and special distribution of the transmission nodes into consideration, it analyzes the closed-form so- lution of the transmission interrupt probability of the physical interference channel. Furthermore, it use the closed-form solution to characterize the transmission capability of the frequency hopping low voltage power line carrier communication network. In order to optimize the transmission performance, it takes the interrupt probability as the system ob...