修如旧模型中储存系统备件量的计算及其置信区间

doi:10.7523/j.issn.2095-6134.2004.4.002

中国科学院大学学报 ›› 2004, Vol. 21 ›› Issue (4): 441-446.DOI: 10.7523/j.issn.2095-6134.2004.4.002

修如旧模型中储存系统备件量的计算及其置信区间

杨军^1,2, 于丹¹

1. 中国科学院数学与系统科学研究院, 北京 100080;
2. 中国科学院研究生院, 北京 100080

发布日期:2004-07-10

Computation of the Spare Parts Number for the Repair as Old Modeland the Fiducial Inference of Its Confidence Interval

YANG Jun^1,2, YU Dan¹

1. Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China;
2. Graduate School, Chinese Academy of Sciences, Beijing 100039, China

Published:2004-07-10

摘要/Abstract

摘要：

研究了在修如旧可修系统模型下,对相同储存条件下同时开始储存的N个系统,给出了在预定储存期T0 内使N个系统正常的概率不小于P0 时所需备件数M的计算公式.特别,针对储存寿命服从威布尔分布的系统,利用枢轴量,给出了前述备件数M的置信区间 ;并基于系统寿命试验的完全样本数据,给出系统可靠度和系统可用度Fiducial分布的计算方法,进而得出备件量M的置信区间的计算方法.

关键词: 可用度, 储存模型, 枢轴量, Fiducial分布

Abstract:

In this paper, based on the repaired as old model, under the same storage condition and on the conditionthat there are at least Nsystems available for use with probability P0 during the designed storage period [ 0,T0], the spare parts number Mfor Nidentical systems is derived.Based on this model, for the Weibull distribution, utilizing the pivotal quantity and Fiducial distribution, the confidence interval of the spare parts number M isconstructed ;then based on the complete samples in life testing, utilizing the Fiducial method, the reliability andthe availability of this model' s repairable system are derived.Furthermore the computation method of the confidenceinterval of the spare parts number M is obtained.

Key words: availability, storage model, pivotal quantity,Fiducial distribution

中图分类号:

O242.1

杨军, 于丹. 修如旧模型中储存系统备件量的计算及其置信区间[J]. 中国科学院大学学报, 2004, 21(4): 441-446.

YANG Jun, YU Dan. Computation of the Spare Parts Number for the Repair as Old Modeland the Fiducial Inference of Its Confidence Interval[J]. , 2004, 21(4): 441-446.

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修如旧模型中储存系统备件量的计算及其置信区间

Computation of the Spare Parts Number for the Repair as Old Modeland the Fiducial Inference of Its Confidence Interval

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