Some universal limits for nonhomogeneous birth and death processes

被引：0
|
作者：
A. Zeifman
S. Leorato
E. Orsingher
Ya. Satin
G. Shilova
机构：
[1] Vologda State Pedagogical University,
[2] Vologda Science Coordination Centre CEMI RAS.,undefined
[3] University of Rome ‘La Sapienza’,undefined
来源：
Queueing Systems | 2006年 / 52卷
关键词：
Birth and death rates; Kolmogorov differential equations; Logarithmic norm; Exponential stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we consider nonhomogeneous birth and death processes (BDP) with periodic rates. Two important parameters are studied, which are helpful to describe a nonhomogeneous BDP X = X(t), t≥ 0: the limiting mean value (namely, the mean length of the queue at a given time t) and the double mean (i.e. the mean length of the queue for the whole duration of the BDP). We find conditions of existence of the means and determine bounds for their values, involving also the truncated BDP XN. Finally we present some examples where these bounds are used in order to approximate the double mean.
引用
收藏
页码：139 / 151
页数：12
相关论文
共 50 条
12345