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Optimal allocation of relevations in coherent systems

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

Published online by Cambridge University Press:  22 November 2021

Rongfang Yan Open the ORCID record for Rongfang Yan [Opens in a new window] ,
Jiandong Zhang Open the ORCID record for Jiandong Zhang [Opens in a new window]  and
Yiying Zhang Open the ORCID record for Yiying Zhang [Opens in a new window]
Rongfang Yan*
Affiliation:
Northwest Normal University
Jiandong Zhang*
Affiliation:
Northwest Normal University
Yiying Zhang*
Affiliation:
Southern University of Science and Technology
*
*Postal address: College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China.
*Postal address: College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China.
**Postal address: Department of Mathematics, Southern University of Science and Technology, Shenzhen 518055, Guangdong, China. Email address: zhangyiying@outlook.com
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Abstract

In this paper we study the allocation problem of relevations in coherent systems. The optimal allocation strategies are obtained by implementing stochastic comparisons of different policies according to the usual stochastic order and the hazard rate order. As special cases of relevations, the load-sharing and minimal repair policies are further investigated. Sufficient (and necessary) conditions are established for various stochastic orderings. Numerical examples are also presented as illustrations.

Keywords

Relevationcoherent systemload-sharing modelminimal repairstochastic orders

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60E15: Inequalities; stochastic orderings 60K10: Applications (reliability, demand theory, etc.)
Type
Original Article
Information
Journal of Applied Probability , Volume 58 , Issue 4 , December 2021 , pp. 1152 - 1169
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Copyright
© The Author(s), 2021. Published by Cambridge University Press on behalf of Applied Probability Trust

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