基于Signature的几类可靠性问题探究

项目名称： 基于Signature的几类可靠性问题探究

项目编号： No.11301501

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 数理科学和化学

项目作者： 达高峰

作者单位： 中国科学技术大学

项目金额： 22万元

中文摘要： 近年来，系统Signature的概念被广泛关注并逐渐成为可靠性理论研究中不可或缺的重要工具。在本项目中，我们拟研究Signature的性质并进一步探讨它在系统可靠性研究中的应用。研究内容涉及：(1) Signature的年龄性质及其在系统结构类问题中的应用；(2) Signature意义下元件可交换的二阶n中取k系统的优化设计；(3) 以多元Signature为切入点，研究2-状态可交换元件构成的多状态系统的随机性质。该项目的研究意义在于：(1)通过研究Signature的年龄性质及其应用，使人们更深入的认识这一概念，应用这一概念；(2) 以Signature作为主要工具研究元件可交换二阶n中取k系统的优化设计问题，全面提升文献中已有相关结果，增强理论研究的实用性；(3) 建立对应系统结构和元件寿命对系统寿命的影响机制，并为一般多状态系统下的相关研究提供线索。

中文关键词： Signature；系统最优化；随机比较；多状态系统；网络安全

英文摘要： In recent years, the concept of system Signature has received increasing attention in the literature and become an important tool in reliability. This project is devoted to the exploration of the properties and further applications of Signature in the following aspects (1) the ageing properties of Signature with its applications on the issue of the classes of system structures; (2) optimal designs of second order k-out-of-n systems consisting of exchangeable components in the sense of Signature; (3) the stochastic properties of the multi-state systems consisting of 2-state exchangeable components on the basis of multivariate Signature. And the corresponding significances of the project are that (1) it facilitates people to better understand the concept of Signature and use it in reliability; (2) it improves the relavant researchs on the optimal design of second order k-out-of-n systems in the literature and hence enhances the practicability of the theoretical results; (3) it explains systematically how the change of the system structure and/or the lifetimes of components effect the lifetime of such a system and provides clues for studying similar issues of general multi-state systems in the future.

英文关键词： Signature；Optimal design；Stochastic ordering；Multi-state systems；Cyber security