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首页> 外文期刊>Reliability Engineering & System Safety >Imperfect repair and lifesaving in heterogeneous populations
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Imperfect repair and lifesaving in heterogeneous populations

机译：异类人群的修复和救生不完善

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摘要

In this theoretical paper we generalize the notion of minimal repair to the heterogeneous case, when the lifetime distribution function can be modeled by continuous or a discrete mixture of distributions. The statistical (black box) minimal repair and the minimal repair based on information just before the failure of an object are considered. The corresponding failure (intensity) rate processes are defined and analyzed. Demographic lifesaving model is also considered: each life is saved (cured) with some probability (or equivalently a proportion of individuals who would have died are now resuscitated and given another chance). Those who are saved experience the statistical minimal repair. Both of these models are based on the Poisson or non-homogeneous Poisson processes of underlying events, which allow for considering heterogeneity. We also consider the new model of imperfect repair in the homogeneous case and present generalizations to the heterogeneous setting.
机译：在该理论论文中，当寿命分布函数可以通过连续或离散的混合分布进行建模时，我们将最小修复的概念推广到了异构情况。统计（黑匣子）最小修复和考虑对象故障之前基于信息的最小修复。定义并分析了相应的故障（强度）速率过程。还考虑了人口救生模型：以某种可能性挽救（治愈）每条生命（或等效地将一部分已经死亡的人现在复活并给予另一次机会）。那些被保存的人会经历统计上的最小修复。这两个模型都基于潜在事件的泊松或非均匀泊松过程，可以考虑异质性。我们还考虑了在同质情况下不完全修复的新模型，并提出了对异质设置的概括。

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