Reliability Applications of a Bivariate Exponential Distribution
Reliability Applications of a Bivariate Exponential Distribution
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双变量指数分布的可靠性应用
DOI：
10.1287/opre.16.1.18
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发表时间：
1968
期刊：
影响因子：
--
通讯作者：
Robert Harris
中科院分区：
文献类型：
--
作者：
Robert Harris
本文研究了一些两单元系统，其中服务两个单元的寿命不是独立的，而是以特定方式彼此依赖。这种依赖性的特征在于马歇尔和奥尔金的双变量指数分布，后者具有指数的边缘分布和其他具有物理激励的特性。确定了两个可靠性的度量：第一个是系统故障时间的分布和均值（即，当所有单元失败时），第二个给出了工作单位数量的稳态概率。给出了一些图形结果，以说明这些数量与独立寿命的经典假设所获得的值的偏差。
This paper examines some two-unit systems in which the lifetimes of the two units in service are not independent but depend upon one another in a particular way. This dependence is characterized by the bivariate exponential distribution of Marshall and Olkin, which has exponential marginal distributions and other physically motivating properties. Two measures of reliability are determined: the first is the distribution and mean of the time to system failure (i.e., when all units are failed) and the second gives steady-state probabilities of the number of working units. Some graphical results are given to illustrate the deviation of these quantities from the values obtained under the classical assumption of independent lifetimes.