摘要
为了拓展流排队模型的相关理论,本文研究了带有故障和重试系统的M/M/1排队驱动系统的流模型。基于矩阵几何解法对模型的主要性能指标进行了研究,对构建的微分方程进行推导,得到了系统的稳态库存量的LST及其均值。最后通过数值例子说明不同参数对各项性能指标的影响,为现实情况中的故障和重试排队服务系统提供参考。
In order to expand the related theory of stream queuing model, this paper studies streaming of M/M/1 queuing drive system with faults and retry systems. Based on the matrix geometry method, the main performance indicator of the model is studied, and the construction of the differential equation is derived, and the system’s steady-state stock LST and its mean are obtained. Finally, numerical examples illustrate the influence of different parameters to various performance indicators, provide reference for the fault and retry queuing service systems in realities.
出处
《应用数学进展》
2022年第2期769-780,共12页
Advances in Applied Mathematics
