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June 2012 On the residual and inactivity times of the components of used coherent systems
S. Goliforushani, M. Asadi, N. Balakrishnan
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J. Appl. Probab. 49(2): 385-404 (June 2012). DOI: 10.1239/jap/1339878793


In the study of the reliability of technical systems in reliability engineering, coherent systems play a key role. In this paper we consider a coherent system consisting of n components with independent and identically distributed components and propose two time-dependent criteria. The first criterion is a measure of the residual lifetime of live components of a coherent system having some of the components alive when the system fails at time t. The second criterion is a time-dependent measure which enables us to investigate the inactivity times of the failed components of a coherent system still functioning though some of its components have failed. Several ageing and stochastic properties of the proposed measures are then established.


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S. Goliforushani. M. Asadi. N. Balakrishnan. "On the residual and inactivity times of the components of used coherent systems." J. Appl. Probab. 49 (2) 385 - 404, June 2012.


Published: June 2012
First available in Project Euclid: 16 June 2012

zbMATH: 1244.90074
MathSciNet: MR2977802
Digital Object Identifier: 10.1239/jap/1339878793

Primary: 60E15
Secondary: 60K10

Keywords: conditional lifetime , hazard rate , inactivity time , increasing failure rate , k-out-of-n system , order statistics , reliability , Residual lifetime , reversed hazard rate , signature , stochastic ordering

Rights: Copyright © 2012 Applied Probability Trust


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Vol.49 • No. 2 • June 2012
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