可靠性数学理论

两状态单调关联系统理论已经成为可靠性数学理论的基础之一，正在向着多状态单调关联系统理论的方向发展.1977年Lapp&Powers提出非单调关联系统模型，引起可靠性学术界热烈讨论。

The theory of binary coherent structures has become a foundation for the mathematical theory of reliability , and is developing towards the theory of multi-state coherent structures .

在可靠性数学理论中，指数分布是一类很重要的分布。

Exponential distribution is the most important distribution in relia-bility theory .

第一章主要是对可靠性数学理论背景的介绍和全文组织结构的介绍。

Chapter ⅰ shows the background of the reliability theory , and the organization and structure of this thesis .

第一章为引论，介绍了可靠性数学理论的背景和研究方法，以及本文的主要内容。

We introduce the background of the reliability theory , research method and the primary content of this thesis .

第一部分介绍了可靠性数学理论的背景和研究方法以及本文的结构与组织。

In Chapter I , we introduce the background of the reliability theory , research method and the organization and structure of this dissertation .

根据可靠性数学理论，构建出了储气库马尔可夫概率预测模型，根据其概率转移矩阵对储气库进行了风险分析和寿命预测。

According to the theory of reliability mathematics , Markov probability prediction model is built . Risk analysis and life prediction of gas storage is studied based on its probability transition matrix . 4 .

从机械设计变量随机化的观点出发，应用可靠性数学理论，将石油钻井泵基本设计变量随机化处理后，计算各构件的运动参数分布特征值及受力分布特征值。

In the view of the randomness of machine design variables , and by applying the theory of reliability , the basic design parameters of drill pump are randomized , and the characteristic values of motion parameter distribution and force distribution of each structural member are calculated .

文章应用可靠性与模糊数学理论，对道路交通网络特别是战时道路交通网络的可靠性进行分析与计算。

With the application of the theories of reliability and fuzzy mathematics , this paper performs the analysis and calculation of road transportation network in peacetime and especially in wartime .

根据可靠性原理和模糊数学理论，按照优化设计方法，建立了直齿锥齿轮传动模糊可靠性优化设计数学模型。

On the basis of the theory of fuzzy mathematics and the principle of reliability , according to the optimal design method , this paper built a mathematical model of fuzzy reliability optimization design for straight bevel gear drive .

在实际研究中遇到的新问题是：传统架空线路的可靠性统计指标难以表达现场运行中线路故障的可能性，单纯采用可靠性数学理论无法进行全系统的运行风险评估。

The encountered new problems in real studies are the traditional statistical reliability index of overhead lines can not exactly express the fault possibility of field running lines , and it is impossible to complete the operating risk assessment of the whole system by purely adopting the reliability theory .

可靠性工程是研究与产品失效作斗争的科学技术活动的总体，而可靠性数学在可靠性理论中有着特殊的地位。

Reliability engineering is the fight against product failure overall science and technology activities , while the reliability of mathematical theory of reliability has a special status .