Fluid Model Modulated by an M/M/1 Working Vacation Queue with Negative Customer

被引：6
|
作者：
Xiu-li XU [1 ]
Xian-ying WANG [1 ]
Xiao-feng SONG [1 ]
Xiao-qing LI [1 ]
机构：
[1] College of Science, Yanshan University
来源：
Acta Mathematicae Applicatae Sinica | 2018年 / 34卷 / 02期
基金：
中国国家自然科学基金;
关键词：
fluid model; negative customer; RCE(Removal of customer in the end) policy; buffer content; LT(Laplace transform);
D O I：
暂无
中图分类号：
O226 [排队论（随机服务系统）];
学科分类号：
070105 ; 1201 ;
摘要：
This paper investigates a fluid model driven by an M/M/1 queue with working vacations and RCE(Removal of customer in the end) policy of negative customer. In the external environment, the negative customer is not served by the server and only removes the positive customer in the end one-to-one. We establish a fluid flow model based on this stochastic process, and obtain the mean buffer content and the probability of empty buffer for this fluid queue using the LT(Laplace transform) method. Moreover, several special cases of the model here are obtained. Finally, some numerical examples are presented to demonstrate the effects of parameters on the performance indices of the fluid model.
引用
收藏
页码：404 / 415
页数：12
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