具有不同到达率的带有启动时间及不耐烦策略和N控制策略的M^X/G/1排队模型

The Queue Combining Different Arrival Rates and Impatient Policy and N-Policy and Set-up Time

本文研究了一种不同到达率、不耐烦策略、N策略及启动时间相结合的MX/G/1排队模型.通过补充变量的方法对状态方程组求解,给出了系统稳态队长分布的Z变换形式、离去时刻系统队长分布、忙期开始时系统中排队队长分布,同时也给出了条件等待概率等排队指标.

A queue combining different arrival rates,impatient policy,N-policy and set-up time were studied.By the method of supplementary variable,we solve the state equations and give the form of Z transformation of steady-state queue length distribution,departure time queue length distribution and the system busy beginning time queue length distribution,at the same time,we also give queue indexes such as conditional waiting probability and so on.