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A lower bound of reliability calculating method for lattice system with non-homogeneous components

机译：非齐次晶格系统可靠性计算的下界

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摘要

The lattice system in which the components are regularly distributed in a two dimensional area are studied due to the fact that it can be used to describe the system model in various applications, e.g., safety monitoring system, phased array radar, design of array antenna or liquid crystal display. In the previous research, the common shared assumption is that the lattice system is composed with homogeneous components. However, when we conduct a reliability evaluation of the system, this hypothesis is easy to be violated, because maintenance action may take upon to replace the aging components with new ones, which leads the residual life of the components are different from each other. In this paper we employ finite Markov chain imbedding approach and use the "k-within-r x s-out-of-m x n" model to obtain a lower bound calculating method for reliability of the lattice system with non-homogeneous components. By changing parameters or adding conditions, we propose some transformed models from the original one. Some numerical examples are applied to illustrate how to compute the reliability of these models and address some property of the lattice system.
机译：由于其可用于描述各种应用中的系统模型，例如安全监控系统，相控阵雷达，阵列天线设计或液晶显示器。在先前的研究中，共同的共享假设是晶格系统由齐次的成分组成。但是，当我们对系统进行可靠性评估时，很容易违反这一假设，因为维护工作可能需要用新的部件替换老化的部件，这导致部件的剩余寿命互不相同。在本文中，我们采用有限马尔可夫链嵌入方法，并使用“ k-in-r x s-out-of-m xn ”模型来获得具有非均匀分量的晶格系统可靠性的下界计算方法。 。通过更改参数或添加条件，我们从原始模型中提出了一些转换模型。应用一些数值示例来说明如何计算这些模型的可靠性并解决晶格系统的某些属性。

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