Joint interval reliability for Markov systems with an application in transmission line reliability

Attila Csenki

Reliability Engineering and System Safety, 2007, vol. 92, issue 6, 685-696

Abstract: We consider Markov reliability models whose finite state space is partitioned into the set of up states U and the set of down states D. Given a collection of k disjoint time intervals Iℓ=[tℓ,tℓ+xℓ], ℓ=1,…,k, the joint interval reliability is defined as the probability of the system being in U for all time instances in I1∪⋯∪Ik. 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.

Keywords: Joint interval reliability; Joint availability; Set reliability; Markov model; Transmission lines; Maxima; Scilab (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:92:y:2007:i:6:p:685-696

DOI: 10.1016/j.ress.2006.11.007

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