New method for weighted- k -out-of- n system using SDP

机译：使用SDP的N个加权k系统的新方法

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In this paper, a binary weighted version of the k -out-of- n system is considered. In the disjoint products version of reliability analysis of weighted- k -out-of- n systems, it is necessary to determine the order in which the weight of components is to be considered. The k -out-of- n :G(F) system consists of n components; each component has its own probability and positive integer weight such that the system is operational (failed) if and only if the total weight of some operational (failure) components is at least k . Four methods to compute the reliability formula of the weighted system have been already proposed. The proposed methods express the system reliability in fewer reliability formulas than those already published. The purpose of this paper is to point out the relation of the order of weighted components. Wu & Chen method and old version of Higashiyama etal methods (modified Wu & Chen method and first version of SDP method) have got the best results (smallest reliability formula) under the ascending order of weighted components, but second ver sion of SDP method gets the best result under the descending order of weighted components.

机译：在本文中，考虑了k -out-of-n系统的二进制加权形式。在n个权重k个系统的可靠性分析的不相交产品版本中，有必要确定要考虑组件重量的顺序。 n：G（F）系统的k个由n个组件组成;每个组件都有自己的概率和正整数权重，因此，当且仅当某些运行（故障）组件的总权重至少为k时，系统才能运行（故障）。已经提出了四种计算加权系统可靠性公式的方法。所提出的方法以比已经发表的更少的可靠性公式来表达系统的可靠性。本文的目的是指出加权分量顺序的关系。 Wu＆Chen方法和旧版本的Higashiyama et al方法（改良的Wu＆Chen方法和第一版SDP方法）在加权分量的升序下获得了最佳结果（最小可靠性公式），但是第二版SDP方法得到了加权分量降序的最佳结果。

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《ISSAT international conference on reliability quality in design》|2012年|33-38|共6页
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Yoichi Higashiyama; Ventsi Rumchev;
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Weighted- k -out-of- n system; Reliability formula; Wu Chen method; SDP method; Order of weighted components;

机译：加权-k-out-of-n系统;可靠性公式;吴＆陈法; SDP方法;加权分量的顺序;

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2. Combined $m_{1}$ -Consecutive-$k_{c1}$ -Out-of-$n$ and $m_{2}$ -Consecutive-$k_{c2}$ -Out-of-$n$ Systems [J] . Gera A. E. Reliability, IEEE Transactions on . 2011,第2期

机译：$ m_ {1} $-连续-$ k_ {c1} $-超出$ n $和$ m_ {2} $-连续-$ k_ {c2} $-超出$ n $系统
3. Reliability of Combined $k{hbox{-out-of-}}n$ and Consecutive $k_{c}{hbox{-out-of-}}n$ Systems of Markov Dependent Components [J] . Demir S. Reliability, IEEE Transactions on . 2009,第4期

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4. New version of SDP method for weighted- k -out-of- n system [C] . Yoichi Higashiyama, Ventsi Rumchev World multi-conference on systemics, cybernetics and informatics . 2012

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New method for weighted- k -out-of- n system using SDP

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