On busy period and sojourn time distributions in the M/G/1-EPS queue with catastrophes

被引：0

作者：

S. F. Yashkov

A. S. Yashkova

机构：

[1] Russian Academy of Sciences,Institute for Information Transmission Problems (Kharkevich Institute)

[2] Municipal Institute,undefined

来源：

Automation and Remote Control | 2009年 / 70卷

关键词：

Remote Control; Sojourn Time; Busy Period; Queueing System; Delay Element;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We derive the Laplace-Stiltjes transforms of busy period and sojourn time distributions in the M/G/1 queue with egalitarian processor sharing (EPS) and the possibility of (external) catastrophes. Each arrival of the catastrophes immediately removes all the positive jobs (and hence unfinished work) in this non work-conserving queueing system. One of the main results is obtained by means of the so-called method of decomposition into delay elements introduced by the first author.

引用

页码：2061 / 2072

页数：11

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