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负载分担下可修的并联系统模型
引用本文:汤胜道,汪凤泉,汪忠志.负载分担下可修的并联系统模型[J].东南大学学报(自然科学版),2003,33(1):119-122.
作者姓名:汤胜道  汪凤泉  汪忠志
作者单位:1. 东南大学土木工程学院,南京,210096
2. 安徽工业大学数理系,马鞍山,243002
基金项目:安徽省教委科研资助项目 ( 2 0 0 2Kj0 54 )
摘    要:提出了一个负载分担可修的并联系统模型,在系统中,n个并联部件是可修的,一个部件失效,将会导致剩余部件有更高的负载,从而引起更高的失效率,假定每个部件仅有2种状态;工作或失效,那么系统的状态过程是一个时齐的离散的马尔可夫链,它可以产生1列微分方程,借助于拉普拉斯逆变换可计算出该模型的主要可靠性指标-系统的可用度及可靠度,最后,以一个特例证明了本文的模型是并联系统的推广,同时也说明用本文的方法来计算负载分担可修的并联系统可靠性是切实可行的。

关 键 词:模型  负载分担  并联系统  系统可靠性
文章编号:1001-0505(2003)01-0119-04

Model of a repairable parallel system with load-sharing
Tang Shengdao,Wang Fengquan,Wang Zhongzhi.Model of a repairable parallel system with load-sharing[J].Journal of Southeast University(Natural Science Edition),2003,33(1):119-122.
Authors:Tang Shengdao  Wang Fengquan  Wang Zhongzhi
Institution:Tang Shengdao 1 Wang Fengquan 1 Wang Zhongzhi 2
Abstract:A repairable parallel system with load sharing is modeled in this paper. n components are paralleled and each component is repairable in system. The event of one component failure would result in a higher load in the rest, therefore inducing a higher failure rate in each of the surviving components. In real world, there are many such system. Assuming that each component has only two states: work or failure, then the state process of the system is a continuous time discrete state homogeneous Markov chain, and it can create a set of differential equations. With the aid of inverse Laplace transform, the main reliability indexes of the system such as system availability and reliability can be calculated. Finally, though a special example it is proved that the model is a generalized parallel system and the method proposed in this paper is feasible.
Keywords:load  sharing  parallel system  system reliability
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