SOJOURN TIMES IN VACATION AND POLLING SYSTEMS WITH BERNOULLI FEEDBACK

被引：18

作者：

TAKINE, T ^{[1
]}

TAKAGI, H ^{[1
]}

HASEGAWA, T ^{[1
]}

机构：

[1] IBM TOKYO RES LAB,DIV RES,CHIYODA KU,TOKYO 102,JAPAN

来源：

JOURNAL OF APPLIED PROBABILITY | 1991年 / 28卷 / 02期

关键词：

QUEUES; PSEUDO-CONSERVATION LAWS;

D O I：

10.2307/3214877

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 study sojourn times in M/G/1 multiple vacation systems and multiqueue cyclic-service (polling) systems with instantaneous Bernoulli feedback. Three service disciplines, exhaustive, gated, and 1-limited, are considered for both M/G/1 vacation and polling systems. The Laplace-Stieltjes transforms of the sojourn time distributions in the three vacation systems are derived. For polling systems, we provide explicit expressions for the mean sojourn times in symmetric cases. Furthermore a pseudo-conservation law with respect to the mean sojourn times is derived for a polling system with a mixture of the three service disciplines.

引用

页码：422 / 432

页数：11

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