To improve the concurrent data transmission capability of wireless multi-hop networks,this paper proposes adopting a gray physical interference model instead of using the threshold physical interference model.The model allows non-ideal links to be involved in scheduling,under the premise of not affecting the quality of existing transmission links.In addition,we design two greedy algorithms to schedule more links with SINR values located in the transition region.The results show that a gray physical interference model is more accurate than a threshold physical interference one,the concurrent transmission capability of a network based on the gray physical interference model is significantly increased,and network throughput is increased by 20%. To improve the concurrent data transmission capability of wireless multi-hop networks, this paper proposes a gray physical interference model instead of using the threshold physical interference model. The model allows non-ideal links to be involved in scheduling, under the premise of not affecting the quality of existing transmission links. addition, we design two greedy algorithms to schedule more links with SINR values ​​located in the transition region. The results show that a gray physical interference model is more accurate than a threshold physical interference one, the concurrent transmission capability of a network based on the gray physical interference model is significantly increased, and network throughput is increased by 20%.