Some results on series and parallel systems of randomized components

@article{Hazra2014SomeRO,
  title={Some results on series and parallel systems of randomized components},
  author={Nil Kamal Hazra and Asok K. Nanda},
  journal={Oper. Res. Lett.},
  year={2014},
  volume={42},
  pages={132-136}
}
We study the system (series/parallel) where the components are randomly chosen from two different batches. We assume that one batch is more reliable than the other in some stochastic sense. In the case of series systems we show that, under certain conditions, lifetime of one system dominates that of the other in different stochastic orders viz. hazard rate, down shifted hazard rate and likelihood ratio orders. Further, we show that the same principle holds for the reversed hazard rate and the… CONTINUE READING
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