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Ordered multi-state system signature and its dynamic version in evaluating used multi-state systems

Published online by Cambridge University Press:  27 July 2022

He Yi Open 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-mails: yihe@mail.buct.edu.cn; lixiang@mail.buct.edu.cn
Narayanaswamy Balakrishnan
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada. E-mail: bala@mcmaster.ca
Xiang Li
Affiliation:
School of Economics and Management, Beijing University of Chemical Technology, Beijing 100029, China. E-mails: yihe@mail.buct.edu.cn; lixiang@mail.buct.edu.cn
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Abstract

Signature theory plays an important part in the field of reliability. In this paper, the ordered multi-state system signature and its related properties are discussed based on a life-test of independent and non-identical coherent or mixed systems with independent and identical binary-state components. Dynamic properties of these systems are considered through a new notion called dynamic multi-state system signature, and then related comparisons are made based on system lifetimes and costs. Finally, the theoretical results established are illustrated with some specific examples to demonstrate the use of dynamic ordered multi-state system signature in evaluating used multi-state coherent or mixed systems.

Keywords

Coherent or mixed systemDynamic multi-state system signatureDynamic ordered multi-state system signatureOrdered multi-state system signatureReliability
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 37 , Issue 4 , October 2023 , pp. 873 - 887
Copyright
© The Author(s), 2022. Published by Cambridge University Press

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