THE MACLAURIN SERIES FOR THE GI/G/1 QUEUE

被引：38

作者：

GONG, WB ^{[1
]}

HU, JQ ^{[1
]}

机构：

[1] BOSTON UNIV,DEPT MFG ENGN,BOSTON,MA 02215

来源：

JOURNAL OF APPLIED PROBABILITY | 1992年 / 29卷 / 01期

关键词：

SYSTEM TIME; DELAY; POLLACZEK-KHINCHIN FORMULA;

D O I：

10.2307/3214801

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We derive the MacLaurin series for the moments of the system time and the delay with respect to the parameters in the service time or interarrival time distributions in the GI/G/1 queue. The coefficients in these series are expressed in terms of the derivatives of the interarrival time density function evaluated at zero and the moments of the service time distribution, which can be easily calculated through a simple recursive procedure. The light traffic derivatives can be obtained from these series. For the M/G/1 queue, we are able to recover the formulas for the moments of the system time and the delay, including the Pollaczek-Khinchin mean-value formula.

引用

页码：176 / 184

页数：9