(A relay selection algorithm based on path loss and S1NR is proposed for 802.16j mobile multi-hop relay network. By calculating the path loss of each transmission link, the algorithm selects the two relay stations with the smallest sum of path losses, and compares the SINR of the access link between these two relay stations and the mobile terminal, and will have the largest access link SINR value. The relay station is used as the optimal relay to improve the service quality of the mobile terminal)