摘要
本文研究了一个带有负顾客的M/M/1/N多重工作休假排队系统。服务员在假期中以较低的速率服务顾客而非停止工作。利用马尔科夫过程理论和矩阵解法求出了稳态概率的矩阵解,并得到了系统的平均队长、平均等待队长以及顾客的消失概率等性能指标。
An M/M/1/N queuing system was considered with negative and multiple working vacations. The server works at a lower rate rather than completely stops service during the vacation period. First, the matrix form solution of the steady-state probability was derived by the Markfov process method and the matrix solution method. Some performance measures of the system such as the expected number of customers in the system or in the queue and the loss probability of the customer were also presented.
出处
《科技视界》
2014年第10期50-52,共3页
Science & Technology Vision
基金
秦皇岛市科学技术研究与发展规划项目(201101A114)
关键词
排队系统
稳态概率
矩阵解法
负顾客
多重工作休假
Queuing system
Steady-state probability
Matrix solution method
Negative customers
Multiple working vacation
