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On optimal operational sequence of components in a warm standby system

  • Maxim Finkelstein (a1), Nil Kamal Hazra (a2) and Ji Hwan Cha (a3)


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.


Corresponding author

* Postal address: Department of Mathematical Statistics and Actuarial Science, University of the Free State, 339 Bloemfontein 9300, South Africa, and ITMO University, Saint Petersburg, Russia.
** Postal address: Department of Mathematics, Indian Institute of Information Technology, Design and Manufacturing, Kancheepuram, Chennai 600127, Tamil Nadu, India.
*** Postal address: Department of Statistics, Ewha Womans University, Seoul 120-750, Republic of Korea. Email address:


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Journal of Applied Probability
  • ISSN: 0021-9002
  • EISSN: 1475-6072
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