Abstract:

The large-scale applications of M2M(Machine to Machine) service will have great impacts on the current network in QoS，IBP(Interrupt Bernoulli Process) is used to model M2M services with batch arrival,then a discrete time queue model-IBP/Geom/1/K is established and solved.Different from typical IBP model,the number of arrival packets each time is a batch,instead of one.Mathematical models with different burstiness are used to describe the batch,then we obtain the steady-state probability of queue length in the probability domain,furthermore the throughout and packet loss ratio and other performance metrics are derived.System performance with single arrival and  with batch arrival under the same queuing intensity are compared.The results indicate that the system performances decrease as the burstiness of the number of arrival packets every batch increases and the queuing performances with batch arrival are worse than that with single arrival under the same queuing intensity.For M2M small data services with delay-tolerance characteristics,we can increase cache at the cost of increasing delay to improve the system throughput and decrease the blocking rate.

Key words: machine to machine(M2M) small data services, batch arrival, interrupt bernoulli process(IBP) model