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基于自动请求重传(ARQ)协议的工作原理,提出基于离散时间带有启动机制的Geom/G/1排队模型。使用嵌入马尔可夫链方法推导出排队系统的稳态队长、等待时间、忙期和忙循环等性能指标的解析表达式,给出ARQ协议中数据帧的平均响应时间、信道利用率、系统吞吐量等性能指标的解析表达式。利用仿真工具Matlab进行计算机仿真,数值例子证明了性能指标解析表达式的正确性。
Based on the working principle of automatic request retransmission (ARQ) protocol, a Geom / G / 1 queuing model based on discrete time with activation mechanism is proposed. Using the embedded Markov chain method, the analytical expressions of steady-state captain, waiting time, busy period and busy cycle of queuing system are deduced. The average response time, channel utilization, system throughput Quantity and other performance indicators of the analytical expression. Computer simulation is carried out using simulation tool Matlab. The numerical examples prove the correctness of the analytical expressions of the performance indexes.