Stochastic comparisons of parallel systems when components have proportional hazard rates
Probability in the Engineering and Informational Sciences
Modelling a general standby system and evaluation of its performance
Applied Stochastic Models in Business and Industry
On the optimal allocation of two active redundancies in a two-component series system
Operations Research Letters
Characterization and evaluation of standby in reliability
Proceedings of the First Workshop on DYnamic Aspects in DEpendability Models for Fault-Tolerant Systems
Dynamic behavior of k-out-of-n: G systems
Operations Research Letters
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This paper investigates the heterogeneity of components with proportional hazard rates in a redundant system. The total number of those standbys surviving the failure time of some active component is derived, and the algorithm to determine the optimal number of standbys is also discussed.