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寿命分布的卷积变换与关联变换 被引量：1

Convolution and Relevation Transforms of Certain Classes of Life Distributions
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摘要 本文讨论两元件冷储备系统和热储备系统。证明了如果在线工作的元件的寿命分别具有指数分布、NBU分布、NBUE分布和NBUC分布,则冷储备系统的寿命长度随机等于、随机大于、平均大于和依递增凸序大于热储备系统的寿命长度。 The two-unit cold standby system and the two-unit warm standby system are discussed. It is shown that, for the unit operating online with any life distribution, the total life length of the cold standby system is stochastically equal to, stochastically larger than, larger in expectation than and larger in increasing convex order than the total life length of the warm standby one if the standby unit is exponential, NBU, NBUE and NBUC distributed, respectively.
作者 李伯德
机构地区 兰州商学院信息工程学院数学系
出处 《工程数学学报》 CSCD 北大核心 2006年第6期1109-1112,共4页 Chinese Journal of Engineering Mathematics
基金 兰州商学院科研资助项目(0409041)
关键词 NBU NBUE NBUC 冷储备系统 热储备系统 卷积变换 关联变换 NBU NBUE NBUC cold standby system warm standby system convolution transform relevation transform
分类号 O212.2 [理学—概率论与数理统计]
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参考文献7

  • 1Ravichandran N. Stochastic Methods in Reliability Theory[M]. New York: John Wiley & Sons, 1990
  • 2Barlow R E, Proschan F. Statistical Theory of Reliability and Life Testing[M]. New York: Holt, Rinehart and Winnston, 1981
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  • 5Cao J, Wang Y. The NBUC and NWUC classes of life distributions[J]. Journal of Applied Probability,1991,28:473-479
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同被引文献11

  • 1刘仁彬,唐应辉.独立维修两不同型部件冷储备系统可靠性分析[J].系统工程学报,2006,21(6):628-635. 被引量：12
  • 2刘惟信.机械可靠性设计[M].北京:清华大学出版社,2006.
  • 3孙新利,陆长捷.工程可靠性教材[M].北京:国防工业出版社,2005.
  • 4Amir A,Cabit P,Hideki K,et al.Multi-objective reliability optimization for dissimilar-unit cold-standby systems using a genetic algorithm[J].Computers & Operations Research,2009,36:1562-1571.
  • 5Haiyang Yu,Farouk Y,Eric C,et el.Optimal design of a maintainable coldstandby system[J].Reliability Engineering and System Safety,2007,92:85-91.
  • 6YuanLin Zhang.An optimal geometric process model for a cold standby repairable system[J].Reliability Engineering and System Safety,1999,63:107-110.
  • 7YuanLin Zhang,GuanJun Wang.A deteriorating cold standby repairable system with priority in use[J].European Journal of Operational Research,2007,183:278-295.
  • 8Effie P,George K.A two-unit general parallel system with (n-2) cold standbys-Analytic and simulation approach[J].European Journal of Operational Rcsearch,2007,176:1016-1032.
  • 9Nelsen N.B.An introduction to Copulas.Lectures Notes in Statistics[M],139.Spring Verlag,New York,1999.
  • 10唐应辉,刘艳.修理工单重休假且不能修复如新的冷储备可修系统[J].数学的实践与认识,2008,38(2):47-52. 被引量：10

引证文献1

二级引证文献7

工程数学学报
2006年 第6期

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