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Optimal Allocation of Active Redundancies to k-out-of-n Systems with Heterogeneous Components

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

Published online by Cambridge University Press:  14 July 2016

Xiaohu Li  and
Weiyong Ding
Xiaohu Li*
Affiliation:
Lanzhou University
Weiyong Ding*
Affiliation:
Lanzhou University
*
∗Postal address: School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China.
∗Postal address: School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China.
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Abstract

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In this note we deal with the allocation of independent and identical active redundancies to a k-out-of-n system with the usual stochastic order among its independent components. The optimal policy is proved both to assign more redundancies to the weaker component and to majorize all other policies. This improves the corresponding one in Hu and Wang (2009) and serves as a nice supplement to that in Misra, Dhariyal and Gupta (2009) as well.

Keywords

MajorizationSchur concavestochastic order

MSC classification

Secondary: 90B25: Reliability, availability, maintenance, inspection 60E15: Inequalities; stochastic orderings 60K10: Applications (reliability, demand theory, etc.)
Type
Research Article
Information
Journal of Applied Probability , Volume 47 , Issue 1 , March 2010 , pp. 254 - 263
Copyright
Copyright © Applied Probability Trust 2010 

Footnotes

Supported by the National Natural Science Foundation of China (10771090).

References

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