The superposition of alternating on-off flows and a fluid model
成果类型：
Article
署名作者：
Palmowski, Z; Rolski, T
署名单位：
University of Wroclaw
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
发表日期：
1998
页码：
524-540
关键词：
摘要：
An on-off process is a 0-1 process xi(t) in which consecutive 0-periods (T-0,T-n) alternate with 1-periods (T-1,T-n) (n = 1, 2,...). The on and off time sequences are independent, each consisting of i.i.d. r.v.s. By the superposed flow, we mean the process Z(t) = Sigma(l=1)(N) r(e)xi(t)(l), where r(l) > 0 and (xi(t)(1)),...,(xi(t)(N)) are independent on-off flows. The process xi(t)(l) is not Markovian; however, with the age component eta(t)(l), the process w(t)(l) = (xi(t)(l), eta(t)(l)) is a piecewise deterministic Markov process. In this paper we study the buffer content process for which the tail of its steady-state distribution Psi(b) fulfills inequality C_e(-gamma b) less than or equal to Psi(b) less than or equal to C(+)e(-gamma b), where gamma > 0 is the solution of some basic nonlinear system of equations.