一类具有可变输入率和可变服务率的M/M/1排队模型

M/M/1 Queuing Model with Variable Input Rate and Adjustable Service Rate

把具有可变输入率的M/M/1排队模型和可变服务率M/M/1的排队模型进行了结合研究,即讨论了输入率可变同时服务率可变的情况;考虑了输入率λk和服务率μk都随队长k的变化而发生变化,从而建立了输入率可变且服务率可变的M/M/1排队模型,得到了该模型的平稳分布以及各项重要指标。

This paper combines M/M/1 Queuing Model with variable input rate and M/M/1 Queuing Model with adjustable service rate, i.e. discusses the condition with variable input rate and adjustable service rate, considers that queuing length k changes with the change of input rate Ak and service rate/zkso that M/M/1 Queuing Model with variable input rate and adjustable service rate is constructed and stable distribution and all indicators of this model are obtained.