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A new approach to fuzzy dynamic fault tree analysis using the weakest n-dimensional t-norm arithmetic 被引量:4
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作者 Ge JIANG Hongjie YUAN +1 位作者 Peichang LI Peng LI 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2018年第7期1506-1514,共9页
Dynamic fault tree analysis is widely used for the reliability analysis of the complex system with dynamic failure characteristics. In many circumstances, the exact value of system reliability is difficult to obtain d... Dynamic fault tree analysis is widely used for the reliability analysis of the complex system with dynamic failure characteristics. In many circumstances, the exact value of system reliability is difficult to obtain due to absent or insufficient data for failure probabilities or failure rates of components. The traditional fuzzy operation arithmetic based on extension principle or interval theory may lead to fuzzy accumulations. Moreover, the existing fuzzy dynamic fault tree analysis methods are restricted to the case that all system components follow exponential time-to-failure distributions. To overcome these problems, a new fuzzy dynamic fault tree analysis approach based on the weakest n-dimensional t-norm arithmetic and developed sequential binary decision diagrams method is proposed to evaluate system fuzzy reliability. Compared with the existing approach,the proposed method can effectively reduce fuzzy cumulative and be applicable to any time-tofailure distribution type for system components. Finally, a case study is presented to illustrate the application and advantages of the proposed approach. 展开更多
关键词 Fuzzy dynamic fault treeanalysis Fuzzy theory Reliability evaluation Sequential binary decision diagrams The weakest n-dimensional t-norm arithmetic
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基于t-norm模糊故障树的PMT试验失效可能性评估 被引量:1
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作者 谭润泽 李晓彬 +1 位作者 乐京霞 杜志鹏 《华中科技大学学报(自然科学版)》 EI CAS CSCD 北大核心 2022年第2期56-62,共7页
针对光电倍增管(PMT)水下防爆试验系统故障频发,且常规故障树方法在系统故障状态描述、获取发生概率精确性存在一定的局限性及传统的α-截集模糊算法存在模糊积累问题,提出一种基于最弱t-norm梯形模糊数算法的PMT试验系统故障可能性分... 针对光电倍增管(PMT)水下防爆试验系统故障频发,且常规故障树方法在系统故障状态描述、获取发生概率精确性存在一定的局限性及传统的α-截集模糊算法存在模糊积累问题,提出一种基于最弱t-norm梯形模糊数算法的PMT试验系统故障可能性分析方法.该方法将最弱t-norm算法和梯形模糊数引入故障树方法中,通过分析试验系统运行原理构建试验故障树模型,并对其进行定量计算求解故障树结构函数;应用专家判断法将基本事件的故障状态用模糊数表示,进而利用层次分析法(AHP)和聚合理论获取故障发生概率,克服事件的故障多态性描述问题,提高事件概率求解的精确性;基于底事件的故障概率和故障树的结构函数,计算试验系统失效可能性,并根据各底事件的模糊重要度,分析引起试验失效的关键因素.结果表明:该方法能够准确、高效地评估PMT试验系统故障可能性及确定关键失效因子,可为PMT防爆试验系统故障诊断提供理论参考依据. 展开更多
关键词 光电倍增管 水下内爆 最弱t-norm算法 模糊故障树 故障诊断
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Hanoi塔非递归算法的形式化推导和正确性验证 被引量:5
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作者 游珍 薛锦云 《计算机研究与发展》 EI CSCD 北大核心 2008年第z1期143-147,共5页
关于Hanoi塔问题的非递归算法已有大量的研究.运用薛锦云教授自创的PAR方法和循环不变式开发的新策略,形式化推导出逻辑结构清晰的Hanoi塔非递归算法及其循环不变式,并用Dijkstra最弱前置谓词法验证了该算法的正确性.充分体现了PAR方法... 关于Hanoi塔问题的非递归算法已有大量的研究.运用薛锦云教授自创的PAR方法和循环不变式开发的新策略,形式化推导出逻辑结构清晰的Hanoi塔非递归算法及其循环不变式,并用Dijkstra最弱前置谓词法验证了该算法的正确性.充分体现了PAR方法的优越性、高效性和可靠性. 展开更多
关键词 HANOI塔 PAR方法 循环不变式 非递归算法 Dijkstra最弱前置谓词法
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基于Isabelle定理证明器算法程序的形式化验证 被引量:10
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作者 游珍 薛锦云 《计算机工程与科学》 CSCD 北大核心 2009年第10期85-89,共5页
形式化验证对保证软件的正确性和可靠性具有十分重要的意义。定理机械证明是形式化验证的一个重要研究领域,Isabelle系统是一个被广泛运用的定理证明辅助工具。本文在分析Dijkstra最弱前置谓词理论的基础上,根据PAR方法开发的算法程序... 形式化验证对保证软件的正确性和可靠性具有十分重要的意义。定理机械证明是形式化验证的一个重要研究领域,Isabelle系统是一个被广泛运用的定理证明辅助工具。本文在分析Dijkstra最弱前置谓词理论的基础上,根据PAR方法开发的算法程序循环不变式,提出了一种使用Isabelle定理证明器对算法程序进行机械验证的方法。该方法既克服了传统手工验证过程的繁琐性和易错性等缺点,又达到"提高验证效率和保证算法程序高可信"的目标,具有很好的实用价值。 展开更多
关键词 形式化验证 定理机械证明 Dijkstra最弱前置谓词理论 PAR方法 算法程序 定理证明器
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基于碰撞思维的无人机通信抗干扰最弱节点定位算法 被引量:1
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作者 袁开银 王庆江 《兵器装备工程学报》 CAS CSCD 北大核心 2023年第11期287-292,共6页
在开展无人机通信网络抗干扰最弱节点定位时,节点信号碰撞使其瞬时频率特征发生不规则变化,导致节点定位效果不佳,设计基于碰撞思维的无人机通信抗干扰最弱节点定位算法。构建无人机通信网络节点信号碰撞思维解析模型,提取信号碰撞过程... 在开展无人机通信网络抗干扰最弱节点定位时,节点信号碰撞使其瞬时频率特征发生不规则变化,导致节点定位效果不佳,设计基于碰撞思维的无人机通信抗干扰最弱节点定位算法。构建无人机通信网络节点信号碰撞思维解析模型,提取信号碰撞过程中抗干扰节点信号的瞬时频率特征。根据瞬时频率特征和DV-hop算法建立通信节点与通信距离之间的关系模型,确定抗干扰最弱节点与锚节点之间的平均跳距和平均跳数,获取无人机通信抗干扰最弱节点具体位置,实现节点定位。实验结果表明:所设计算法的通信节点覆盖较高,节点信号瞬时频率特征提取效果好,节点定位均方根误差最大值仅为0.45 m,说明该算法的无人机通信抗干扰最弱节点定位效果好。 展开更多
关键词 无人机通信 抗干扰 最弱节点 节点定位 DV-HOP算法
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Verifying Mutual Exclusion and Liveness Properties with Split Preconditions
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作者 AwadheshKumarSingh AnupKumarBandyopadhyay 《Journal of Computer Science & Technology》 SCIE EI CSCD 2004年第6期795-802,共8页
This work is focused on presenting a split precondition approach for the modeling and proving the correctness of distributed algorithms. Formal specification and precise analysis of Peterson's distributed mutual e... This work is focused on presenting a split precondition approach for the modeling and proving the correctness of distributed algorithms. Formal specification and precise analysis of Peterson's distributed mutual exclusion algorithm for two process has been considered. The proof of properties like, mutual exclusion, liveness, and lockout-freedom have also been presented. Keywords distributed algorithms - state transition rule - mutual exclusion - weakest self-precondition - weakest co-operation - correctness Regular PaperAwadhesh Kumar Singh received the B.E. degree in computer science & engineering from Gorakhpur University, Gorakhpur, India in 1988. He received the M.E. and Ph.D. (Engg) degrees in the same area from Jadavpur University, Kolkata, India. He is a faculty member in Computer Engineering Department, National Institute of Technology, Kurukshetra, India. His present research interest is distributed systems.Anup Kumar Bandyopadhyay received the B.E. (Tel.E.), M.E. (Tel.E.), and Ph.D. (Engg) degrees from Jadavpur University, Calcutta, India in 1968, 1970 and 1983, respectively. From 1970 to 1972 he worked with the Microwave Antenna System Engineering Group of the Indian Space Research Organization. In 1972 he joined the Department of Electronics and Telecommuication Engineering, Jadavpur University, where he is currently a professor. His research interests include computer communication networks and distributed systems. 展开更多
关键词 distributed algorithms state transition rule mutual exclusion weakest self-precondition weakest co-operation CORRECTNESS
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