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基于NBU_(Mg)类分布的更换策略比较（英文） 被引量：1

Some Comparisons with Replacement Policies Based Upon NBU_(Mg) Class Distributions
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摘要 证明了年龄更换策略和成批更换策略依矩母函数序减少(增加)任意时间间隔内的失效次数的充要条件是基分布具有NBUMg(NWUMg)性质;更换间隔不同的成批更换策略在相同工作时间内的失效次数也作了比较。 It was shown that both the age replacement policy and the block replacement policy would decrease（increase） , in the sense of moment generating function order, the number of failures in any time interval if and only if the underlying distribution possesses NBUMg （NWUMg） property. The stochastic comparisons of the number of failures under the block replacement policy with different intervals were made as well in this paper.
作者 邱国新 王金山 沈浮
机构地区 陆军军官学院基础部
出处 《大学数学》 2013年第4期20-23,共4页 College Mathematics
基金 National Natural Science Foundation of China(61170225) Science Foundation of Army Officer Academy(2012XYJJ-005,2012XYJJ-007)
关键词 矩母函数序 NBUMg 年龄更换策略 成批更换策略 更新过程 moment generating function order NBUMg age replacement policy block replacement policy renewal process
分类号 O212.2 [理学—概率论与数理统计]
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参考文献6

  • 1Barlow R E and Prosehan F. Comparison of replacement policies and renewal theory implications[J].Ann Math Stat, 1964,35(2) ..577-589.
  • 2Barlow R E and Prosehan F. Statistical theory of reliability and life testing, probability model[M]. New York: Holt, Rinehart and Winnston, 1981 : 180- 181.
  • 3Yue D and Cao J. The NBUL class of life distribution and replacement policy comparisons[J]. Naval Research Logistics, 2001,48(7) ..578-591.
  • 4Li X and Cheng G. Some properties of aging notions based upon the moment generating function order[J]. J. Appl. Prob., 2004,41(3): 927-934.
  • 5Zhang S and Li X. Preservation property of NBUMg under shock models[J], international Journal on Reliability and Applications, 2003, 4(2): 71-77.
  • 6Shaked M and Shanthikumar J G. Stochastic orders[M]. New York: Springger, 2006 : 260- 261.

同被引文献6

  • 1Nakagawa T,Zhao Xufeng. Comparisons of replacement policies with constant and random times[J]. Journal of the Operations Research Society of Japan,2013, 56(1) .. 1--14.
  • 2Cheng G, Li L. An optimal replacement policy for a degenerative system with two--types of failure states[J]. Journal of Computational and Applied Mathematics, 2014,261(1).. 139--145.
  • 3Barlow R E and Proschan F. Comparison of replacement policies and renewal theory implications[J]. Ann Math Stat, 1964, 35(2) :577--589.
  • 4Barlow R E and Proschan, F. Statistical theory of reliability and life testing, probability model[M]. New York: Holt, Rinehart and Winnston, 1981:180--181.
  • 5Yue D and Cao J. The NBUL class Of life distribution and replacement policy comparisons[J]. Naval Research Logistics, 2001, 48(3):578--591.
  • 6Zhang S ,Li X. Some new results on the moment generating function order and related life distributions[J]. Journal of applied probability 2010,47(4):923--933.

引证文献1

大学数学
2013年 第4期

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