具有冷贮备部件串联系统可靠性质指标的Bayes及多层Bayes分析

本文运用Bayes及多层Bayes方法对具有冷贮备部件串联系统的失效率，可靠度与平均失效时间进行了估计，最后通过随机模拟对这两种估计进行了比较分析，得出了有效结论。     

机器人及其安全系统的可靠性分析

是以机器人及其安全系统所构成的一个可修复系统作为研究对象,运用泛函分析方法并结合C_0半群理论,证明了严格占优本征值在本系统的存在性并且是系统严格占优本征值,进一步证明了在一定条件下,系统的动态解以指数化形式收敛于系统的稳态解.     

具有人为故障的人-机系统的可靠性分析

介绍了一个具有人为故障的人-机系统的可修复模型,利用算子半群理论证明了新模型系统解的存在唯一性和指数型稳定性.另外,当故障率λ_0→∞时,系统的瞬态可用度逼近弱解系统瞬态可用度.即,新模型系统逼近原模型弱解系统.     

面向多阶段任务的武器系统备件优化配置建模

资源优化配置是作战单元维修保障的关键因素.当作战单元执行单阶段任务时,讨论了部件结构为串联系统和k/n系统的任务成功概率建模问题,在此基础上,建立了k/n结构动态变化的多阶段任务系统的任务成功概率模型.在满足系统任务成功概率约束条件下,给出了防空作战单元备件携行量优化模型,并运用边际分析法进行了求解,通过示例表明了模型的正确性.     

Analysis of the Reliability of a Three-Component System with Renewal

New results are reported from an investigation of a three-component system consisting of one master control element and two slave elements with priority servicing by a single repair facility. The stationary probabilities of the system states are determined, along with the readiness factor and the average time between failures (average uptime).     

一类可修系统的稳定性及可靠性分析

证明了系统的渐近稳定性,即limt→∞■(,.t)=■,并给出了一种方法,证明了系统的牢固可靠度不小于瞬态可靠度,即p0(t)≥p0*=limt→∞p0(t).     

具有热储备可修复平行系统稳定性及可靠性分析

通过对具有热储备可修复平行系统模型的研究,证明了系统解的稳定性,limt→∞p→(.,t)=p→,同时完成了对系统解的可靠性的证明,瞬态可靠性大于等于其牢固可靠性,既p0(t)≥p0*=limt→∞p0(t).     

两相同部件并联部分可修复系统的可靠性分析

用C_0半群理论,研究了一类两相同部件并联部分可修复系统解的存在惟一性及指数稳定性,并从本征向量的角度讨论了此系统的一些主要可靠性指标,给出了瞬态可用度的数值模拟.     

具有四个状态的系统的稳定性及可靠性分析

通过时具有四个状态的系统所建立的模型进行分析,证明了系统的解的渐近稳定性,既limt→∞p→(,.t)=p→0,同时也证明了系统解的可靠性.     

Reliability-Based Optimization Using Differential Evolution and Inverse Reliability Analysis for Engineering System Design

In this contribution, a new methodology based on a double-loop iteration process is proposed for the treatment of uncertainties in engineering system design. The inner optimization loop is used to find the solution associated with the highest probability value (inverse reliability analysis), and the outer loop is the regular optimization loop used to solve the considered reliability problem through differential evolution and multi-objective optimization differential evolution algorithms. The proposed methodology is applied to mathematical functions and to the design of classical engineering systems according to both mono- and multi-objective contexts. The obtained results are compared with those obtained by classical approaches and demonstrate that the proposed strategy represents an interesting alternative to reliability design of engineering systems.     

修理设备可更换且有修理延迟的N部件串联系统分析

假定部件的寿命服从指数分布,修理延迟时间和修理时间均服从任意分布,并且修理设备的寿命服从指数分布,其更换时间服从任意分布的情况下,利用马尔可夫更新过程理论和拉普拉斯变换工具,研究了修理有延迟且修理设备可更换的n部件串联可修系统,求得了系统的可用度和(0,t]时间内的平均故障次数.进一步,在定义修理设备“广义忙期”下,利用全概率分解,提出了一种新的分析技术,讨论了修理设备的可靠性指标,得到修理设备的一些重要可靠性结果.     

Smoothing Technique and its Applications in Semidefinite Optimization

In this paper we extend the smoothing technique (Nesterov in Math Program 103(1): 127–152, 2005; Nesterov in Unconstrained convex mimimization in relative scale, 2003) onto the problems of semidefinite optimization. For that, we develop a simple framework for estimating a Lipschitz constant for the gradient of some symmetric functions of eigenvalues of symmetric matrices. Using this technique, we can justify the Lipschitz constants for some natural approximations of maximal eigenvalue and the spectral radius of symmetric matrices. We analyze the efficiency of the special gradient-type schemes on the problems of minimizing the maximal eigenvalue or the spectral radius of the matrix, which depends linearly on the design variables. We show that in the first case the number of iterations of the method is bounded by \(O({1}/{\epsilon})\), where \(\epsilon\) is the required absolute accuracy of the problem. In the second case, the number of iterations is bounded by \({({4}/{\delta})} \sqrt{(1 + \delta) r\, \ln r }\), where δ is the required relative accuracy and r is the maximal rank of corresponding linear matrix inequality. Thus, the latter method is a fully polynomial approximation scheme.     

两不同部件并联可修复系统的稳定性及可靠性分析

通过对两不同部件并联可修复系统的研究证明了系统的渐近稳定性,即lim t→∞p→(·,t)=p→,同时在特例的情况下初步证明了解的可靠性.     

具有多重严重故障和非严重故障和修复功能的系统的可靠性分析

该文研究一个具有多重严重故障和非严重故障和修复功能的系统的可靠性问题. 在泛函分析理论的框架下,将系统方程组写成一个 Banach 空间中的抽象初值问题,利用算子半群方法,研究了该系统的适定性、稳态解的存在性以及稳定性.表明: 在系统模型的假定下,所研究的系统是适定的,存在非负动态解和稳态解, 特别在范数意义下动态解收敛到稳态解.从而由系统稳态解得到的系统指标是可靠的.     

On New Multivariate Probability Distributions and Stochastic Processes with System Reliability and Maintenance Applications

Two distinct methods for construction of some interesting new classes of multivariate probability densities are described and applied. As common results of both procedures three n-variate pdf classes are obtained. These classes are considered as generalizations of the class of univariate Weibullian, gamma, and multivariate normal pdfs. An example of an application of the obtained n-variate pdfs to the problem of modeling the reliability of multicomponent systems with stochastically dependent life-times of their components is given. Obtaining sequences over n = 2, 3, ... of consistent n-variate pdfs, that obey a relatively simple common pattern, for each n, allows us to extend some of the constructions from random vectors to discrete time stochastic processes. Application of one, so obtained, class of highly non-Markovian, but still sufficiently simple, stochastic processes for modeling maintenance of systems with repair, is presented. These models allow us to describe and analyze repaired systems with histories of all past repairs.      

系统可靠度的优化模型及简单算法

提高系统可靠度，往往受到给定资源、重量、体积等的限制，如何在此限制下，进行单元可靠度的提高，使得系统的可靠度达到最大，这就是本研究的主要内容。     

带模糊参数的系统模糊可靠度分析

含模糊参数系统的可靠性理论研究具有广泛的实际应用背景,但由于模糊数运算的隶属函数表达困难,影响和制约着模糊参数系统的模糊可靠性理论与应用的研究。本文利用模糊数的结构元表示,给出了模糊表达式隶属函数确定的两种方法,进而得到了具有模糊参数的不可修复串联和并联系统模糊可靠度的隶属函数表达式。     

修理有延迟且修理设备可更换的多状态可修系统的可靠性分析

本文研究修理有延迟且修理设备可更换的单部件多状态可修系统.利用更新过程理论,得到了系统的可靠性指标.通过引入修理设备的"广义忙期",简洁地讨论了修理设备感兴趣的许多可靠性指标,得到一系列重要结果.     

基于边际效应分析的防空武器系统可靠性优化研究

针对复杂武器系统可靠性冗余分配优化问题,以系统的可靠度最大为目标函数,综合考虑系统的费用、质量等约束条件,建立了武器系统的可靠性冗余分配最优化模型;提出了基于相对增量的边际效应分析方法的求解算法,通过改进各级子系统的可靠性,从而使总的系统可靠性最大,最后对防空武器系统的可靠性冗余分配优化问题进行了实例分析。