On the Stochastic Analysis of a Three-Units Ventilation Sytstem for Promoting the Safety of Mines
by: Mohammad El-Moniem Soleha(1), Ghada E. El-Shanshoury(2).
This paper aims at constructing a stochastic system of ventilation in the underground mines. Thus, a complete “probabilistic structure” of the system has been presented, upon which the stochastic behavior of a three-similar units (fans) ventilation system is statistically modeled.
Having established the model, a statistical analysis of its characteristics is performed to explore the stochastic features of the proposed system. In this context, an explicit probabilistic expressions are derived for the mean time to system failure (MTSF) of the ventilation system. Also, a fifth order polynomial formula for the (MTSF) is provided under the exponential assumption for the failure time and replacement time distribution. A numerical example is presented to demonstrate the dependence of the (MTSF) on repair and replacement rate, as well as its importance, as a measure of system reliability, in elevating the safety levels in mines.
Stochastic system, stochastic behavior, probabilistic structure, system reliability, exponential assumptions, mean time to system failure
Mohammad El-Moniem Soleha, drsoleha@Yahoo.com
hada E. El-Shanshoury,
Weiming Ke, Weiming.ke@sdstate-edu
READING THE ARTICLE: You can read the article in
portable document (.pdf) format (489742 bytes.)
NOTE: The content of this article is the intellectual property of the authors, who retains all rights to future publication.
This page has been accessed 2277 times since February 12, 2007.
Return to the Home Page.