带有负顾客的M/G/1单重工作休假可修排队系统

AnM/G/1G-queue with server breakdowns and single working vacation

本文考虑了带有负顾客和单重工作休假策略的M/G/1排队系统,其中在正规忙期到达的负顾客带走正在接受服务的正顾客,并且造成系统故障进入修理状态,但修理结束后服务台不能够立刻恢复如新,而是以较低的服务速率进行服务。经过一段随机时间后,才能恢复到正常服务速率。本文给出了稳态条件下系统的顾客队长分布、系统处于各个状态概率和数学期望等一些测度指标。

In this paper,an M/G/1G-queue with server breakdowns and single working vacation is analyzed. A breakdown at busy server is represented by the arrival of a negative customer which causes the customer being in service to be lost. After repair the server is not as good as new until a working vacation time ends. For this model,we firstly obtain the queue length distribution of the customer under the steady state conditions. Then,we give some other performance measures of interest.