带有放弃的on-off源流体队列模型∗

摘要

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-traffic and Brownian limit processes expression for the considered model, and obtain the queue length expression under the ED system.%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。