THE FAILURE RATE AND LIKELIHOOD RATION ORDERINGS OF STANDBY REDUNDANT SYSTEMS

  • 발행 : 1998.03.01

초록

There are various notions of partial ordering between life-times of systems; stochastic ordering failure rate ordering and likeli-hood ration ordering. In this paper we show that for series systems with non i.i.d. exponential lifetimes of components standby redundancy at component level is better than that at system level in failure rate or-dering and likelihood ratio ordering. We also demonstrate that for 2-component parallel systems with i.i.d. exponential lifetimes of com-ponents standby system redundancy is better than standby component redundancy in failure rate ordering and likelihood ratio ordering.

키워드

참고문헌

  1. International series in decision processes Statistical Theory of Reliability and Life Testing R. Balow;F. Proschan
  2. IEEE Trans. on Relib. v.44 no.4 Component redundancy vs system redundancy in the hazard rate ordering P. Boland;E. El-Neweihi
  3. Biometrika v.66 Distribution-free comparison of two probability distributions with reference to their hazard rates S. Kocher
  4. Microeletron. Reliab v.35 no.7 Comparing the MTBF of four redundant systems with standby components C. Meng
  5. System Reliability A. Pages;M. Gondran
  6. Stochastic Processes S. Ross
  7. IEEE Trans. Reliab. v.40 no.1 The effectiveness of adding standby redundancy at system & component levels K. Shen;M. Xie