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SIGNATURES OF MULTI-STATE SYSTEMS BASED ON A SERIES/PARALLEL/RECURRENT STRUCTURE OF MODULES

Published online by Cambridge University Press:  30 April 2021

He YiOpen the ORCID record for He Yi[Opens in a new window],
Narayanaswamy Balakrishnan and
Xiang Li
He Yi
Affiliation:
School of Economics and Management, Beijing University of Chemical Technology, Beijing 100029, China E-mail: yihe@mail.buct.edu.cn
Narayanaswamy Balakrishnan
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton L8S 4K1, Ontario, Canada E-mail: bala@mcmaster.ca
Xiang Li
Affiliation:
School of Economics and Management, Beijing University of Chemical Technology, Beijing 100029, China E-mail: lixiang@mail.buct.edu.cn
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Abstract

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In this paper, we consider multi-state coherent systems that can be regarded as a series/parallel/recurrent connection of multi-state modules with binary/multi-state components. The multi-state (survival) signatures of such systems are presented in terms of multi-state (survival) signatures of related modules based on the structures. For a recurrent structure, the multi-state survival signature of the structure is also needed. The results established here are finally illustrated with a number of examples.

Keywords

multi-state coherent systemmulti-state modulemulti-state (survival) signatureseries/parallel/recurrent connection

Information

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 36 , Issue 3 , July 2022, pp. 824 - 850
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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