A packet-level queuing system with time-varying Markov modulated service rate was established to model the process that network serves Machine to Machine (M2M) Small Data Services (SDS) when M2M Surveillance Video Services (SVS) use network bandwidth preferentially. The main goal was to investigate the service capability of the network for SDS and the restrictions of SVS on SDS. Stochastic process theory, queuing theory and probability theory were used to analyze the environmental state probability space of the multi-state Markov-modulated Pois...