On optimal operational sequence of components in a warm standby system

Maxim Finkelstein; Nil Kamal Hazra; Ji Hwan Cha

doi:10.1017/jpr.2018.67

On optimal operational sequence of components in a warm standby system

Maxim Finkelstein, Nil Kamal Hazra, Ji Hwan Cha

Department of Statistics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We consider an open problem of obtaining the optimal operational sequence for the 1-out-of-n system with warm standby. Using the virtual age concept and the cumulative exposure model, we show that the components should be activated in accordance with the increasing sequence of their lifetimes. Lifetimes of the components and the system are compared with respect to the stochastic precedence order and its generalization. Only specific cases of this optimal problem were considered in the literature previously.

Original language	English
Pages (from-to)	1014-1024
Number of pages	11
Journal	Journal of Applied Probability
Volume	55
Issue number	4
DOIs	https://doi.org/10.1017/jpr.2018.67
State	Published - 1 Dec 2018

Bibliographical note

Publisher Copyright:
© Applied Probability Trust 2018.

Keywords

Cumulative exposure model
stochastic precedence order
virtual age
warm standby system

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10.1017/jpr.2018.67

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On optimal operational sequence of components in a warm standby system

Abstract

Bibliographical note

Keywords

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