A note on the mean residual life of a coherent system with a cold standby component

ABSTRACT

In this paper, we investigate the effect of a cold standby component on the mean residual life (MRL) of a system. When the system fails, a cold standby component is immediately put in operation. We particularly focus on the coherent systems in which, after putting the standby component into operation, the failure of the system is due to the next component failure. For these systems, we define MRL functions and obtain their explicit expressions. Also some stochastic ordering results are provided. Such systems include k-out-of-n systems. Hence, our results extend some results in literature.

KEYWORDS:

• Cold standby component
• mean residual life function
• order statistics
• signature
• stochastic ordering

Acknowledgments

The authors would like to thank the Referee for giving valuable and constructive comments, which led to a significantly improved version of the paper.