Bounding the stationary distribution of the M/G/1 queue size

被引：4

作者：

Ross, Sheldon M. ^{[1
]}

机构：

[1] Univ So Calif, Epstein Dept Ind & Syst Engn, Los Angeles, CA 90089 USA

来源：

PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES | 2006年 / 20卷 / 04期

关键词：

D O I：

10.1017/S0269964806060347

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We start with a simple derivation of an identity connecting the conditional expected residual service time as seen by an arrival and the steady-state tail distribution function of the number of customers in the system, which was previously proven by Mandelbaum and Yechiali. We then show how to use it to obtain bounds on the the stationary distribution of the number of customers in the M/G/1 queue.

引用

页码：571 / 574

页数：4