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寿命服从Weibull分布时高价值弹药导弹抽样方法
引用本文:牛跃听,赵晖,李妍,穆希辉,张国志.寿命服从Weibull分布时高价值弹药导弹抽样方法[J].兵工学报,2020,41(7):1434-1440.
作者姓名:牛跃听  赵晖  李妍  穆希辉  张国志
作者单位:(1.沈阳理工大学 装备技术研究院, 辽宁 沈阳 110159; 2.32181部队, 河北 石家庄 050000;3.哈尔滨理工大学 数学系, 黑龙江 哈尔滨 150080)
基金项目:国家自然科学基金项目(61471385); 弹药导弹保障技术重点实验室基金项目(2017SYSJ008)
摘    要:针对高可靠、长寿命的高价值弹药抽样问题,提出一种高价值弹药导弹寿命评估抽样方法。通过该方法研究高价值弹药导弹寿命服从Weibull分布时样本容量、贮存时间、可靠性评估精度之间的内在关系,给出揭示三者关系的数学公式。结果表明:新方法解决了单发价值高、可供试验研究的样本少、贮存年限(生产年份)不一的高价值弹药导弹可靠性试验最小样本容量问题,为科学评估其贮存寿命提供理论参考;运用新方法对贮存8 a的某型号高价值弹药进行抽样,在置信度0.9、可靠性评估精度指标0.15条件下,该批次贮存8 a的高价值弹药最小样本容量取9发。

关 键 词:高价值弹药  导弹  弹药贮存  可靠性试验  最小样本容量  
收稿时间:2019-09-09

Sampling Method of High Value Ammunition Based on Weibull Life Distribution
NIU Yueting,ZHAO Hui,LI Yan,MU Xihui,ZHANG Guozhi.Sampling Method of High Value Ammunition Based on Weibull Life Distribution[J].Acta Armamentarii,2020,41(7):1434-1440.
Authors:NIU Yueting  ZHAO Hui  LI Yan  MU Xihui  ZHANG Guozhi
Affiliation:( 1.Equipment Technology Research Institute, Shenyang Ligong University, Shenyang 110159, Liaoning, China; 2.Unit 32181 of PLA, Shijiazhuang 050000, Hebei, China; 3.Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, Heilongjiang, China)
Abstract:A sampling method for life evaluation of high-value ammunitions is proposed. The sampling problem of high-value ammunition with high reliability and long life is studied. The intrinsic relationship among sample size, storage time, reliability evaluation accuracy of high-value ammunition when its life-span obeys Weibull distribution is studied, and the mathematical formulas to reveal the relationship among them are given. High-value ammunition has the following characteristics: high single-shot value, fewer samples for experimental study, and different storage years (productive year). These bring a series of difficulties to its sampling. This paper solves the problem of minimum sample size of high-value ammunition in reliability test, and provides theoretical support for scientific evaluation of its storage life. The method is used to sample a certain type of high-value ammunitions stored for 8 years. The minimum sample size of this batch of high-value ammuitions stored for 8 years is 9 with the confidence of 0.9 and the reliability evaluation accuracy index of 0.15. Key
Keywords:high-valueammunition  missile  ammunitionstorage  reliabilitytest  minimumsamplesize  
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