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Fu Li Department of Communication Engineering Jilin University ChangChun, China 971740586@qq.com Xue-fen Chi ,Jia-sheng Zhang, Xu-dong Li Department of Communication Engineering Jilin University ChangChun, China chixf@jlu.edu.cn zhangjs52061730@126.com Abstract—To investigate and forecast the traffic characteristics of important M2M service--Small data service, we modeled its arrival process and analyzed the effects it has on current wireless network. By simulating service logic and designing traffic generation function of typical M2M small data service on network simulation platform (OPNET), we modeled packet inter-arrival time of M2M aggregate traffic with general distribution Gm. Considering the time-varying feature of wireless channel, MMPP-2 is used to model the service process of WLAN access network. Based on the queuing theory, we solve Gm/MMPP/1/K model under general arrival of M2M small data service and time-varying channel, then we obtained the performance metrics of the queuing system. The results indicate that (1) Hurst parameter of M2M aggregate traffic is approximately estimated as 0.7, (2) M2M small data service has the characteristics of delay-tolerance, as a result, system blocking rate can be effectively reduced by increasing the buffer size in the error-prone wireless environment, this solution is feasible. Key words—M2M, small data service, traffic model, time-varying wireless channel.

Network Modeling and Performance Analysis under Time-varying Channel and General Arrival of M2M Services