Further properties of model for a system subject to continuous wear
- Authors
- 이의용; Laurence A. Baxter
- Issue Date
- Dec-1991
- Publisher
- 한국통계학회
- Citation
- Journal of the Korean Statistical Society, v.20, no.2, pp 139 - 146
- Pages
- 8
- Journal Title
- Journal of the Korean Statistical Society
- Volume
- 20
- Number
- 2
- Start Page
- 139
- End Page
- 146
- URI
- https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/159376
- ISSN
- 1226-3192
2005-2863
- Abstract
- A generalization of an earlier diffusion model for system subject to continuous wear is presented. It is assumed that the state of the system is modelled by Brownian motion with negative drift and an absorbing barrier at the origin. A repairman arrives according to a stationary renewal process and increases the state of the system by a random amount if the state does not exceed a threshold. Various properties of this model are investigated including the distribution of the state of the system at time t, the first passage time to state 0 and the probability that the state of the system exceeds a certain level throughout a specified interval.
- Files in This Item
-
Go to Link
- Appears in
Collections - 이과대학 > 통계학과 > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.