【作者】 李艳；

【导师】 叶尔骅； 杨纪龙；

【作者基本信息】 南京航空航天大学 ， 计算数学， 2002， 硕士

【摘要】 本文利用马尔可夫过程理论、线性方程组理论以及Laplace变换和Laplace逆变换对以下三个系统做了可靠性分析： (1)多传感器融合可修2／3(G)表决系统 (2)有优先权的开关寿命连续型两个不同型部件冷贮备可修系统 (3)有优先权的开关寿命连续型两个不同型部件温贮备可修系统 多传感器融合技术是近几年发展起来的一门新兴技术，已广泛应用于军事领域，并逐渐在航天、遥感、机械制造技术中得到应用。由多传感器融合本身的作用决定其自身的可靠性大小尤为重要。 对于由两个不同型部件组成的、有优先权的、开关寿命为连续型随机变量的冷、温贮备可修系统，本文在两部件的工作时间、维修时间以及转换开关的寿命和修理时间均服从指数分布、所有随机变量均相互独立、工作部件的寿命分布与其贮备时间无关、故障部件和转换开关均可修复如新的情况下作了研究。 本文建立了以上各类系统的一般模型，给出了系统各项瞬态及稳态的可靠性指标的计算方法及具体结果。经计算得出系统的可靠度，然后根据最优化控制规律构造控制量，对系统进行反馈修正，从而提高系统的精度与可靠度。更多还原

【Abstract】 This paper presents the reliability analysis of three systems as following by using Markov process theory and linear equation theory.(1) Multi-sensor 2/3 (G) repairable decision-making system(2) Cold standby repairable system of two components with continuous lifetime switch and priority(3) Warm standby repairable system of two components with continuous lifetime switchand priorityIn this paper, we take an application of multi-sensor fusion in neural network, and set up the mathematic model of 2/3 (G) repairable decision-making system, which is composed of different components. We also give the reliability analysis of cold -, warm standby repairable system of two components with continuous lifetime switch and priority, under the condition that the operating time and maintained time of the two components and the lifetime and repair-time of the switch are all exponential distributions. All the variables are independent, and the lifetime of operating components have nothing to do with its maintained time, and the failure components and switch can be as good as new after repair. We set up the mathematic models of these kinds of systems. After accurate computation, the reliability R(t) and some other steady-state reliable indexes are obtained更多还原