Abstract: According to the multi-hop characteristics of the wireless Mesh network,simple M/M/1 queuing theory model can not describe the performance of the Mesh network very well．By using M/M/n/m queue theory to solve wireless Mesh network traffic modeling problem,this paper presented a finite non-preemptive priority M/M/n/m queuing model based on wireless Mesh networks.It can solve the problem that high-priority right business occupies network resources for a long time while low priority business is delayed in services,by distinguishing different business traffic and considering fairness of different priorities.Simulation experiments show that when network traffic is bigger,the average waiting time of high-priority customers changes little,and the average waiting time of the second priority customers is significantly reduced,thus ensuring the equitable distribution of network services.

Key words: Mesh,QoS,Queuing theory,Distinction between services