On optimal operational sequence of components in a warm standby system

Maxim Finkelstein, Nil Kamal Hazra, Ji Hwan Cha

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


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 languageEnglish
Pages (from-to)1014-1024
Number of pages11
JournalJournal of Applied Probability
Issue number4
StatePublished - 1 Dec 2018

Bibliographical note

Publisher Copyright:
© Applied Probability Trust 2018.


  • Cumulative exposure model
  • stochastic precedence order
  • virtual age
  • warm standby system


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