带有放弃的on-off源流体队列模型  

Fluid Queue Model for on-off Sources with Abandonments

作　　者：耿精媛[1] 刘建民[1] 

机构地区：[1]长安大学理学院,西安710064

出　　处：《工程数学学报》2014年第6期829-836,共8页Chinese Journal of Engineering Mathematics

基　　金：中央高校基本科研业务费专项资金(CHD2012TD015)~~

摘　　要：本文对常用的on-off源排队模型做了进一步的改进,引入带有放弃的on-off源流体队列模型,该模型更加贴合实际.通过运用泛函中心极限定理、双边反射映射的概念与连续映射定理,我们得出高负荷条件下带有放弃的on-off源流体队列模型的高负荷极限过程与布朗极限过程的表达式,并且在ED体制下导出了该模型的队长过程极限表达式.Based on the ordinary on-off source queues, this paper presents a more realistic model, the fluid queue model for on-off sources with abandonments. By using functional central limit theorem, two-sided reflection map conception and continuous-mapping theorem, we get the heavy-tra？c and Brownian limit processes expression for the considered model, and obtain the queue length expression under the ED system.

关 键 词：放弃 on-off源 ED体制 负荷 队长 

分 类 号：O226[理学—运筹学与控制论]