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退化系统的α-幂过程维修模型(英文) 被引量：5

An α-power process maintenance model for a deteriorating system
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摘要 研究了一类退化系统的α-幂过程维修模型.采用更换策略N,即当且仅当系统已经失效N次时用一个全新的系统更换.作者得到了系统长期运行下的平均费用的表达式,并且找到了最优更换策略N*的解析表达式.最后给出了一个数值例子,表明该模型是可行的. The authors study a new maintenance model for a deteriorating system under the α-power process. They give the long-run average cost per unit time under the replacement policy N, and find the analytic expression for the optimal replacement policy. And a numerical example shows the practicality and feasibility of the model.
作者 唐亚勇 刘亚平
机构地区 四川大学数学学院 中国科学技术大学统计与金融系
出处 《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2007年第3期503-507,共5页 Journal of Sichuan University(Natural Science Edition)
基金 四川大学青年科学基金(校青06045)
关键词 α-幂过程 更换策略N 长期运行下的单位时间平均费用 α-power process, maintenance problem, replacement policy N, long-run average cost per unit time
分类号 O221.5 [理学—运筹学与控制论]
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参考文献10

  • 1Barlow R E,Hunter L C.Optimum preventive maintenance policies[J].Operations Research,1960,8:90.
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同被引文献38

  • 1周玉霞.退化系统的α-幂过程维修模型的最优更换策略的单调性(英文)[J].四川大学学报（自然科学版）,2007,44(2):221-224. 被引量：6
  • 2Braun W J, Li W, Zhao Y Q. Properties of the geometric and related processes[J]. Naval Research Logistic, 2005, 52(7) : 607 - 616.
  • 3Braun W J, Li Wei, Zhao Yiqiang. Properties of the geometric and related process [ J ]. Naval Research Logistic, 2005, 52 (7) : 607 -616.
  • 4Barlow, R E and Proschan F. Statistical Theory of Reliability and Life Testing: Probability Models. New York: Hot,Rinehart and Winston,Inc,1975.
  • 5Shanthikumar J G and Sumita U. Distribution Properties of the System Failure Time in a GenerM Shock Model. Adv. Appl. Prob. ,1984,16: 363-377.
  • 6Wu Q T and Wu S M. Reliability Analysis of Two-unit Cold Standby Repairable Systems under Poisson Shocks. Appl. Math. Comput., 2011,218(1):171-182.
  • 7Wu Q T. Reliability Analysis of a Cold Standby System Attacked by Shocks. Appl. Math. Comput., 2012,218(23):11654-11673.
  • 8Wu Q T and Zhang J. A Bivariate Replacement Policy for a Cold Standby System under Poisson Shocks. Amer. J. Math. Manage. Sci., 2013, 32(3): 145-177.
  • 9Lam Y and Zhang Y L. A Shock Model for the Maintenance Problem of a Repairable System Comput. Oper. Res., 2004,31(11): 1807-1820.
  • 10Li Z H and Zhao P. Reliability Analysis on the δ-shock Model of Complex Systems. IEEE Trans. Reliab. ,2007,56 (2): 340-348.

引证文献5

二级引证文献6

四川大学学报（自然科学版）
2007年 第3期

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