寿命服从Weibull分布时高价值弹药导弹抽样方法

doi:10.3969/j.issn.1000-1093.2020.07.022

兵工学报 ›› 2020, Vol. 41 ›› Issue (7): 1434-1440.doi: 10.3969/j.issn.1000-1093.2020.07.022

寿命服从Weibull分布时高价值弹药导弹抽样方法

牛跃听¹，赵晖¹，李妍¹，穆希辉²，张国志³

(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)

收稿日期:2019-09-09 修回日期:2019-09-09 上线日期:2020-09-23
作者简介:牛跃听(1978—)，男，教授。 E-mail： zdkjnyt@163.com
基金资助:
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)

Sampling Method of High Value Ammunition Based on Weibull Life Distribution

NIU Yueting ¹， ZHAO Hui¹， LI Yan¹， MU Xihui²， ZHANG Guozhi³

( 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)

Received:2019-09-09 Revised:2019-09-09 Online:2020-09-23

摘要/Abstract

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

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

Key words: high-valueammunition, missile, ammunitionstorage, reliabilitytest, minimumsamplesize

中图分类号:

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.

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.

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寿命服从Weibull分布时高价值弹药导弹抽样方法

Sampling Method of High Value Ammunition Based on Weibull Life Distribution

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