摘要
讨论了一个具有不耐烦顾客的M/M/1单重工作休假排队系统.工作休假期到达的顾客变得不耐烦并激活一个服从负指数分布的计时器,如果在计时器到期之前顾客没能完成服务,则该顾客离开系统,永不返回.通过平衡方程和母函数推导出正规忙期和工作休假期的平均队长等性能指标的解析表达式.通过数值算例考察了两个服务率对系统性能指标的影响.
An M/M/1 queuing system with impatient customers and single working vacation was considered.When a customer arrived in the system and realized that the server was on vacation,he activated an independent ’impatient timer’.If the custmer’s service had not been completed before the customer’s timer expired,the customer abandoned the queue,without returning.Some performance measures of the system were derived such as the mean queue sizes in the busy period and in the working vacation period by balance equations and generating functions.The effects of the two service rates on the system performance measures were investigated by numerical experiment.
出处
《郑州大学学报（理学版）》
CAS
北大核心
2013年第1期23-26,共4页
Journal of Zhengzhou University:Natural Science Edition
关键词
不耐烦顾客
工作休假
排队
平衡方程
母函数
impatient customers
working vacation
queuing
balance equations
generating functions
