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ON STOCHASTIC COMPARISONS FOR LOAD-SHARING SERIES AND PARALLEL SYSTEMS

Published online by Cambridge University Press:  08 November 2016

Maxim Finkelstein  and
Nil Kamal Hazra
Maxim Finkelstein
Affiliation:
Department of Mathematical Statistics and Actuarial Science, University of the Free State, PO Box 339, Bloemfontein 9300, South Africa ITMO University, 49 Kronverkskiy pr., St. Petersburg 197101, Russia E-mail: [email protected]
Nil Kamal Hazra
Affiliation:
Department of Mathematical Statistics and Actuarial Science, University of the Free State, PO Box 339, Bloemfontein 9300, South Africa
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Abstract

We study the allocation strategies for redundant components in the load-sharing series/parallel systems. We show that under the specified assumptions, the allocation of a redundant component to the stochastically weakest (strongest) component of a series (parallel) system is the best strategy to achieve its maximal reliability. The results have been studied under cumulative exposure model and for a general scenario as well. They have a clear intuitive meaning; however, the corresponding additional assumptions are not obvious, which can be seen from the proofs of our theorems.

Keywords

accelerated lifetime modelcumulative exposure modelhazard rate functionreversed hazard rate functionstochastic ordersvirtual age
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 31 , Issue 3 , July 2017 , pp. 311 - 329
Copyright
Copyright © Cambridge University Press 2016 

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