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On relative ageing of coherent systems with dependent identically distributed components

Part of: Special processes Distribution theory - Probability Operations research and management science

Published online by Cambridge University Press:  29 April 2020

Nil Kamal Hazra Open the ORCID record for Nil Kamal Hazra [Opens in a new window]  and
Neeraj Misra
Nil Kamal Hazra*
Affiliation:
Indian Institute of Technology Jodhpur
Neeraj Misra*
Affiliation:
Indian Institute of Technology Kanpur
*
*Postal address: Department of Mathematics, Indian Institute of Technology Jodhpur, Karwar-342037, India. Email address: nilkamal.nilu@gmail.com
**Postal address: Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208016, India.
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Abstract

Relative ageing describes how one system ages with respect to another. The ageing faster orders are used to compare the relative ageing of two systems. Here, we study ageing faster orders in the hazard and reversed hazard rates. We provide some sufficient conditions for one coherent system to dominate another with respect to ageing faster orders. Further, we investigate whether the active redundancy at the component level is more effective than that at the system level with respect to ageing faster orders, for a coherent system. Furthermore, a used coherent system and a coherent system made out of used components are compared with respect to ageing faster orders.

Keywords

Coherent systemdual distortion/domination functionk-out-of-n systemredundancyresidual lifetimestochastic orders

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60E15: Inequalities; stochastic orderings 60K10: Applications (reliability, demand theory, etc.)
Type
Original Article
Information
Advances in Applied Probability , Volume 52 , Issue 1 , March 2020 , pp. 348 - 376
Copyright
© Applied Probability Trust 2020

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