| 冲击次数为复合Poisson-Geometric过程的系统损伤模型及其可靠性指标 |
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| 引用本文： | 邢瑞,贾旭杰,郑更新,王小翠. 冲击次数为复合Poisson-Geometric过程的系统损伤模型及其可靠性指标[J]. 数学的实践与认识, 2009, 39(22) |
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| 作者姓名： | 邢瑞 贾旭杰 郑更新 王小翠 |
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| 作者单位： | 中央民族大学理学院,北京,100081 |
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| 基金项目： | 国家自然科学基金，中央民族大学"211工程"三期项目中国少数民族经济研究子项目:中国少数民族地区经济社会发展分析与预测研究 |
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| 摘 要： | 针对系统损伤模型,引入双参数的复合Poisson-Geometric过程来刻画损伤次数,是普通复合Poisson过程的一种推广,扩大其实际应用背景.针对此分布下的损伤模型,着重研究了其平均损伤、可靠度和平均寿命等可靠性指标,作为特例,给出了当损伤值满足指数分布时,各个指标的表达式.
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| 关 键 词： | 复合Poisson-Geometric过程 系统冲击模型 可靠性指标 |
A Damage Model and Reliability Index with Compound Poisson-Geometric Process |
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| XING Rui,JIA Xu-jie,ZHENG Geng-xin,WANG Xiao-cui. A Damage Model and Reliability Index with Compound Poisson-Geometric Process[J]. Mathematics in Practice and Theory, 2009, 39(22) |
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| Authors: | XING Rui JIA Xu-jie ZHENG Geng-xin WANG Xiao-cui |
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| Abstract: | According to the damage model, the author introduced a distribution of the compound Poisson-Geometric process, which includes two parameters and is a generalization of Poisson's, enlarging the practice application. The paper has been studied the damage model with the compound Poisson-Geometric process. The average damage, reliability and' mean time to failure have been given. Some important results on classical damage model with Poisson process are the special cases in this paper. |
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| Keywords: | compound Poisson-Geometric process damage model reliability index |
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