Joint Interval Reliability for Markov Systems with an Application in Transmission Line Reliability

Description

No / We consider Markov reliability models whose finite state space is partitioned into the set of up states View the MathML source and the set of down states View the MathML source. Given a collection of k disjoint time intervals I¿=[t¿,t¿+x¿], ¿=1,¿,k, the joint interval reliability is defined as the probability of the system being in View the MathML source for all time instances in I1union or logical sumcdots, three dots, centeredunion or logical sumIk. A closed form expression is derived here for the joint interval reliability for this class of models. The result is applied to power transmission lines in a two-state fluctuating environment. We use the Linux versions of the free packages Maxima and Scilab in our implementation for symbolic and numerical work, respectively.

Links & Downloads

1. Csenki, A. (2007). Joint Interval Reliability for Markov Systems with an Application in Transmission Line Reliability. Reliability Engineering and System Safety. Vol. 92, No. 6, pp. 685-696.
2. http://hdl.handle.net/10454/4125
3. https://doi.org/10.1016/j.ress.2006.11.007

Tags

Transmission Lines

MAXIMA

Joint Interval Reliability

Set Reliability

Joint Availability

Markov Model

SCILAB

Additional Fields

Identifer	oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/4125
Date	January 2007
Creators	Csenki, Attila
Source Sets	Bradford Scholars
Language	English
Detected Language	English
Type	Article, No full-text available in the repository