Compound Cycle of a Renewal Process and Applications

被引：2
作者：
Brill, Percy [1 ,2 ]
机构：
[1] Univ Windsor, Dept Math & Stat, Windsor, ON N9B 3P4, Canada
[2] Univ Windsor, Dept Management Sci, Windsor, ON N9B 3P4, Canada
来源：
INFOR | 2009年 / 47卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Compound renewal cycle; renewal process; stopping time; elementary renewal theorem; level crossing method; queues; renewal theory; stochastic models; QUEUES;
D O I：
10.3138/infor.47.4.273
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents a generic framework that is common to many stochastic models For the virtual wait process in an M/G/1 queueing system, we obtain the expected number of events during a sojourn time above or below a state-space level Similar quantities are derived lot the "extended age" process in a standard G/M/1 queue These results generalize the expected number of events in a busy period We also apply the framework to a renewal model with a barrier We obtain the expected number of renewals required to exceed the barrier
引用
收藏
页码：273 / 281
页数：9
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