A Cyclic Queueing System with Priority Customers and T-Strategy of Service

被引：0

作者：

Nazarov, Anatoly ^{[1
]}

Paul, Svetlana ^{[1
]}

机构：

[1] Tomsk State Univ, Lenina Pr 36, Tomsk 634050, Russia

来源：

DISTRIBUTED COMPUTER AND COMMUNICATION NETWORKS, DCCN 2016 | 2016年 / 678卷

关键词：

Cyclic queueing system with server vacations; Priority customers; Asymptotic analysis; Exponential distribution;

D O I：

10.1007/978-3-319-51917-3_17

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

We review the queuing system, the input of which is supplied with the Poisson process of priority customers and N number of the Poisson processes of non-priority customers. Durations of service for both priority and non-priority customers have a distribution functions of A(x) and B-n(x) for applications from priority flow and for customers from n flow (n = 1 ... N) respectively. By using methods of systems with server vacations and asymptotic analysis in conditions of a large load we have found the asymptotic probability distribution of a value of an unfinished work. It is shown that this distribution is exponential.

引用

页码：182 / 193

页数：12

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