SOME NEW RESULTS ON WAITING TIME AND BUSY TIME IN M/G/1 QUEUE

被引：0
|
作者：
唐应辉
机构：
来源：
Acta Mathematica Scientia | 2001年 / 03期
关键词：
M/G/1; waiting time; bound; total busy time; NBUE(NWUE) class;
D O I：
暂无
中图分类号：
O211 [概率论（几率论、或然率论）];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
This paper considers an M/G/l queue with Poisson rate λ > 0 and service time distribution G(t) which is supposed to have finite mean 1/μ. The following questions are first studied: (a) The closed bounds of the probability that waiting time is more than a fixed value; (b)The total busy time of the server, which including the distribution, probability that are more than a fixed value during a given time interval (0,t], and the expected value. Some new and important results are obtained by theories of the classes of life distributions and renewal process.
引用
收藏
页码：295 / 301
页数：7
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