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修理工多重休假的Gnedenko系统

Gnedenko system attended by a repairman with multiple vacations

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【作者】 金燕生曹静

【Author】 Jin Yansheng,Cao Jing(College of Science,Yanshan University,Qinhuangdao 066004,China)

【机构】 燕山大学理学院

【摘要】 考虑Gnedenko系统,即N个部件串联工作,一个部件温贮备的可修系统,其中修理工可进行多重休假。首先假设工作部件和贮备部件的寿命及修理工的休假时间均服从指数分布,故障部件的修理时间服从一般连续型分布。利用补充变量法和广义马尔可夫过程的方法,求得了系统可靠度的拉普拉斯变换式、首次故障前平均时间、稳态可用度和稳态故障频度等重要可靠性指标。

【Abstract】 The Gnedenko system attended by a repairman with multiple vacations is considered.It is assumed that the life of the operating unit and the standby,the vacation time of the repairman are all exponential distributions,while the repair time of the unit has a general continuous distribution.Some reliability expressions such as the Laplace transform of the reliability,the mean time to first failure,availability and the failure frequency of the system are secured by utilizing broad Markov process theory and supplementary variant approach.

  • 【文献出处】 黑龙江大学自然科学学报 ,Journal of Natural Science of Heilongjiang University , 编辑部邮箱 ,2008年05期
  • 【分类号】O213.2
  • 【被引频次】4
  • 【下载频次】94
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