Abstract: System Signature is a set of vectors reflecting the superiority of structural design that can describe the impact of system design on system failure rates. It shows powerful features such as system reliability analysis, system design, system life comparison, system life-limit behavior and system design optimization, and has become an increasingly important research method in reliability research. The difficulty of Signature calculation increases exponentially with the increase of the components number as the system is large and complex, which undoubtedly poses a huge obstacle to subsequent analysis, so the key step in the analysis is to solve a system signature. This paper establishes algorithms of system Signature based on ideas of modularization, and gives algorithms of Signature of modular series or parallel system and modular redundancy system. Compared with conventional ways, using ideas of modularization can efficiently reduce the time and the complexity and amount of calculation in computing Signature, and expand the system range that can be solved for system Signature.

Key words: reliability, system Signature, modularization, redundancy system

摘要： 系统Signature是体现结构设计优良性的一组向量,描述系统设计对系统故障率的影响,在诸如系统可靠性指标分析、系统设计、系统寿命比较、寿命极限行为以及系统设计优化等方面展现出了强大的功能,成为可靠性研究领域越来越强有力的研究工具。而如何求解一个系统的Signature往往成为分析的关键一步,当系统庞大而复杂时,Signature计算难度将随着元件数目的增加呈指数增加,出现维数爆炸问题,这无疑对后续的分析造成巨大的障碍. 本文为了解决此问题,建立了基于模块化思想的系统Signature求解方法,并给出了基于模块化思想的模块化串、并联系统与模块化备份系统的求解方法,对比于传统算法,运用模块化思想大大减少了计算Signature的复杂度,能够有效减小计算量,缩减计算时间,并拓展了可求解Signature的系统范围。

关键词: 可靠性, 系统Signature, 模块化, 备份系统