Towards the automated verification of Weibull distributions for system failure rates

Lu, Y. , Miller, A. A. , Hoffmann, R. and Johnson, C. W. (2016) Towards the automated verification of Weibull distributions for system failure rates. Lecture Notes in Computer Science, 9933, pp. 81-96. (doi:10.1007/978-3-319-45943-1_6)

Lu, Y. , Miller, A. A. , Hoffmann, R. and Johnson, C. W. (2016) Towards the automated verification of Weibull distributions for system failure rates. Lecture Notes in Computer Science, 9933, pp. 81-96. (doi:10.1007/978-3-319-45943-1_6)

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Abstract

Weibull distributions can be used to accurately model failure behaviours of a wide range of critical systems such as on-orbit satellite subsystems. Markov chains have been used extensively to model relia- bility and performance of engineering systems or applications. However, the exponentially distributed sojourn time of Continuous-Time Markov Chains (CTMCs) can sometimes be unrealistic for satellite systems that exhibit Weibull failures. In this paper, we develop novel semi-Markov models that characterise failure behaviours, based on Weibull failure modes inferred from realistic data sources. We approximate and encode these new models with CTMCs and use the PRISM probabilistic model checker. The key benefit of this integration is that CTMC-based model checking tools allow us to automatically and efficiently verify reliability properties relevant to industrial critical systems.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Lu, Mr Yu and Johnson, Professor Christopher and Hoffmann, Dr Ruth and Miller, Dr Alice
Authors: Lu, Y., Miller, A. A., Hoffmann, R., and Johnson, C. W.
College/School:College of Science and Engineering > School of Computing Science
Journal Name:Lecture Notes in Computer Science
Publisher:Springer
ISSN:0302-9743
Copyright Holders:Copyright © 2016 Springer International Publishing AG
First Published:First published in Lecture Notes in Computer Science 9933: 81-96
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
594881EATS: ETCS Advance Testing SystemChristopher JohnsonEuropean Commission (EC)314219 EATSCOM - COMPUTING SCIENCE