Stochastic comparisons of linear degradation and failure time models with dependent failure modes

Abstract

The paper considers a reliability model for system which fails due to degradation failure or catastrophic failure. The linear degradation path is adopted to model the degradation process, and catastrophic failure rate is dependent on the degradation rate. Firstly, we conduct some stochastic comparisons between two systems when their respective degradation rate variables are ordered in the sense of various stochastic orders. Secondly, we conduct some stochastic comparisons between two systems with different conditional catastrophic failure rates. Finally, we give some examples with respect to some well-know models to illustrate the validity of the results.

Keywords:

• Reliability
• competing failure
• heterogeneous population
• stochastic orders
• burn-in

AMS 2010 Subject Classifications::

• Primary 90B25
• Secondary 60K10
• 62N05

Acknowledgment

The authors thank the editor and two anonymous referees for their critical and constructive comments which have improved the earlier version of the article.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China (72071071) and the Young Talent Support Plan of Hebei Province.