高价值弹药可靠性综合评定方法研究

doi:10.12305/j.issn.1001-506X.2021.11.41

摘要/Abstract

摘要：

为解决高价值弹药可靠性鉴定中试验样本量大、成本高的问题, 提出了基于小子样变动统计思想的可靠性综合评定方法。考虑到弹药可靠性在研制阶段上呈现动态特性、环境上呈现差异特性和相似装备上呈现关联特性, 基于小子样变动统计思想建立了弹药可靠性综合评定模型; 针对多源历史样本的“异母体”问题, 以信息熵和条件熵理论对无历史样本下和有历史样本下可靠度的不确定性进行量化, 以不确定度减少比率作为该历史样本相较于现场样本的继承因子; 基于贝塔分布函数和继承因子构建了关于可靠度的混合先验分布, 由贝叶斯理论推导得到可靠度的验后分布, 从而实现对高价值弹药的高效可靠性评定。以某型弹药为应用对象, 验证了本文方法的有效性和合理性。

关键词: 高价值弹药, 可靠性综合评定, 小子样变动统计, 贝叶斯, 信息熵

Abstract:

To solve the problem of large sample and high cost of high-value ammunition on reliability qualification test, the synthetic reliability assessment was proposed based on small-sample dynamic population thought. For the reliability of ammunition, considering the dynamic characteristic present on research stage, the differential characteristic present on environment and relevance characteristic on similar equipment, the synthetic reliability assessment of ammunition was established based on small-sample dynamic population thought; Regarding the different maternal body problem, the uncertainty of reliability with historical sample and without historical sample was quantified by using the information entropy and conditional entropy theory, and the inheritance factor of historical sample to current sample was expressed with uncertainty-reducing ratio. The mixed prior probability distribution of reliability was constructed based on beta distribution function and inheritance factor, and the posterior probability distribution was derived by Bayesian theory, finally achieving the efficient reliability assessment for high-value ammunition. The validity and rationality of above method was tested and verified through taking certain ammunition as application object.

Key words: high-value ammunition, synthetic reliability assessment, small-sample dynamic population statistics, bayesian theory, information entropy

中图分类号:

TB114.3

张雷雷, 解龙, 高旭, 孙天宇, 张峰. 高价值弹药可靠性综合评定方法研究[J]. 系统工程与电子技术, 2021, 43(11): 3399-3404.

Leilei ZHANG, Long XIE, Xu GAO, Tianyu SUN, Feng ZHANG. Research on synthetic reliability assessment method for high-value ammunition[J]. Systems Engineering and Electronics, 2021, 43(11): 3399-3404.

图/表 4

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序号	先验信息	样本数据(n, x)
1	基型弹药	部队演习及训练: (126, 119)
2	新研部件	地面可靠性鉴定试验: (106, 105)
3	待鉴定弹药	工程样机阶段累计外场飞行试验: (23, 21)

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