Aiming at the Wireless Sensor Networks(WSNs) with data redundancy, based on the Differentiated Service(DiffServ) mechanism with loss and preemptive high-priority real-time data frame, the non-real-time data frame is regarded as class Ⅰ customer, the real-time data frame is regarded as class Ⅱ customer. Considering the finite buffer capacity, a discrete-time queaeing model with two classes of customers is built, by using the method of two-dimensional Markov chain, the steady state probability distribution of the queueing model is derived, formula for the performance meaesures are given. Numerical results are provided to demonstrate the influence of system parameters on the system performance mathematically.%针对存在数据冗余的无线传感器网络,根据实时业务具有消失制和抢占优先级的区分服务机制,将非实时业务数据帧抽象为第Ⅰ类顾客,将实时业务数据帧抽象为第Ⅱ类顾客.基于有限缓存容量,建立带有2类顾客的离散时间排队模型,使用二维马尔科夫链方法导出排队模型的稳念解,并给出系统性能指标的表达式.通过数值例子定量分析系统参数对系统性能的影响.
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