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建立了一个二维连续时间的马尔可夫链,该模型描述了GPRS业务和语音业务在一定的动态信道分配方案下对有限信道资源的共享。采用一种近似求解方法求得该马尔可夫链的稳态解,通过数值计算可以估计出GSM/GPRS网络的一些主要性能,如:呼叫阻塞率、数据平均传输速率、信道利用率等。为了验证该模型的有效性,将数值分析的结果与仿真结果进行了比较。
A two-dimensional Markov chain with continuous time is established. The model describes the sharing of limited channel resources under certain dynamic channel allocation schemes in GPRS service and voice service. An approximate solution method is used to obtain the steady-state solution of the Markov chain. Some key performances of the GSM / GPRS network can be estimated through numerical calculation, such as call blocking rate, data average transmission rate and channel utilization rate. In order to verify the validity of the model, the numerical analysis results are compared with the simulation results.