Modern Defense Technology ›› 2024, Vol. 52 ›› Issue (6): 112-119.DOI: 10.3969/j.issn.1009-086x.2024.06.015
• INTEGRATED LOGISTICS SUPPORT TECHNOLOGY • Previous Articles
Yuanmeng ZHANG, Zhengzheng GE, Yuwei LI, Wei MA
Received:
2023-07-13
Revised:
2023-10-11
Online:
2024-12-28
Published:
2024-12-26
作者简介:
张远朦(1997-),女,北京人。助工,硕士,研究方向为加速试验与延寿技术。
CLC Number:
Yuanmeng ZHANG, Zhengzheng GE, Yuwei LI, Wei MA. Missile Storage Reliability Evaluation Based on Isotonic Regression[J]. Modern Defense Technology, 2024, 52(6): 112-119.
张远朦, 葛蒸蒸, 李玉伟, 马巍. 基于保序回归的导弹贮存可靠度评估[J]. 现代防御技术, 2024, 52(6): 112-119.
贮存时间/年 | 样本总数 | 失效数 |
---|---|---|
1 | 60 | 8 |
2 | 19 | 1 |
3 | 31 | 1 |
4 | 12 | 1 |
5 | 15 | 2 |
6 | 27 | 4 |
7 | 21 | 0 |
8 | 17 | 0 |
9 | 10 | 0 |
10 | 9 | 1 |
11 | 12 | 2 |
12 | 9 | 1 |
13 | 11 | 2 |
14 | 18 | 4 |
15 | 13 | 3 |
Table 1 Regular inspection data of an equipment product
贮存时间/年 | 样本总数 | 失效数 |
---|---|---|
1 | 60 | 8 |
2 | 19 | 1 |
3 | 31 | 1 |
4 | 12 | 1 |
5 | 15 | 2 |
6 | 27 | 4 |
7 | 21 | 0 |
8 | 17 | 0 |
9 | 10 | 0 |
10 | 9 | 1 |
11 | 12 | 2 |
12 | 9 | 1 |
13 | 11 | 2 |
14 | 18 | 4 |
15 | 13 | 3 |
贮存时间/年 | 可靠度置信下限估计 |
---|---|
1 | 0.832 |
2 | 0.876 |
3 | 0.923 |
4 | 0.809 |
5 | 0.772 |
6 | 0.789 |
7 | 0.944 |
8 | 0.932 |
9 | 0.887 |
10 | 0.750 |
11 | 0.719 |
12 | 0.749 |
13 | 0.695 |
14 | 0.690 |
15 | 0.658 |
Table 2 Estimation results of lower confidence limit of storage reliability
贮存时间/年 | 可靠度置信下限估计 |
---|---|
1 | 0.832 |
2 | 0.876 |
3 | 0.923 |
4 | 0.809 |
5 | 0.772 |
6 | 0.789 |
7 | 0.944 |
8 | 0.932 |
9 | 0.887 |
10 | 0.750 |
11 | 0.719 |
12 | 0.749 |
13 | 0.695 |
14 | 0.690 |
15 | 0.658 |
贮存时间/年 | 原失效频率 | 保序回归后失效频率 |
---|---|---|
1 | 0.133 | 0.080 |
2 | 0.053 | 0.080 |
3 | 0.032 | 0.080 |
4 | 0.083 | 0.080 |
5 | 0.133 | 0.080 |
6 | 0.148 | 0.080 |
7 | 0 | 0.080 |
8 | 0 | 0.080 |
9 | 0 | 0.080 |
10 | 0.111 | 0.111 |
11 | 0.167 | 0.143 |
12 | 0.111 | 0.143 |
13 | 0.182 | 0.182 |
14 | 0.222 | 0.222 |
15 | 0.231 | 0.231 |
Table 3 Isotonic regression curve of failure frequency
贮存时间/年 | 原失效频率 | 保序回归后失效频率 |
---|---|---|
1 | 0.133 | 0.080 |
2 | 0.053 | 0.080 |
3 | 0.032 | 0.080 |
4 | 0.083 | 0.080 |
5 | 0.133 | 0.080 |
6 | 0.148 | 0.080 |
7 | 0 | 0.080 |
8 | 0 | 0.080 |
9 | 0 | 0.080 |
10 | 0.111 | 0.111 |
11 | 0.167 | 0.143 |
12 | 0.111 | 0.143 |
13 | 0.182 | 0.182 |
14 | 0.222 | 0.222 |
15 | 0.231 | 0.231 |
贮存年限 | 实际可靠度置信下限(置信度0.7) | 最小二乘外推法 | 基于保序回归的极小卡方估计方法 |
---|---|---|---|
11 | 0.719 | 0.692 | 0.747 |
12 | 0.749 | 0.669 | 0.727 |
13 | 0.695 | 0.647 | 0.708 |
14 | 0.690 | 0.626 | 0.689 |
15 | 0.658 | 0.605 | 0.671 |
Table 4 Evaluation results of lower confidence limit of reliability
贮存年限 | 实际可靠度置信下限(置信度0.7) | 最小二乘外推法 | 基于保序回归的极小卡方估计方法 |
---|---|---|---|
11 | 0.719 | 0.692 | 0.747 |
12 | 0.749 | 0.669 | 0.727 |
13 | 0.695 | 0.647 | 0.708 |
14 | 0.690 | 0.626 | 0.689 |
15 | 0.658 | 0.605 | 0.671 |
贮存年限 | 最小二乘外推法相对误差 | 基于保序回归的极小卡方估计方法相对误差 |
---|---|---|
11 | 0.027 | 0.028 |
12 | 0.080 | 0.022 |
13 | 0.048 | 0.013 |
14 | 0.064 8 | 0.001 |
15 | 0.053 | 0.013 |
总误差 | 0.272 | 0.077 |
平均误差 | 0.054 | 0.015 |
Table 5 Relative error of reliability lower confidence limit evaluation
贮存年限 | 最小二乘外推法相对误差 | 基于保序回归的极小卡方估计方法相对误差 |
---|---|---|
11 | 0.027 | 0.028 |
12 | 0.080 | 0.022 |
13 | 0.048 | 0.013 |
14 | 0.064 8 | 0.001 |
15 | 0.053 | 0.013 |
总误差 | 0.272 | 0.077 |
平均误差 | 0.054 | 0.015 |
1 | 孟涛. 导弹贮存延寿技术概论[M]. 北京: 中国宇航出版社, 2013. |
MENG Tao. Introduction to Missile Storage and Life Extension Technology[M]. Beijing: China Astronautic Publishing House, 2013. | |
2 | 姜礼平, 张志华. 成败型产品成功率鉴定试验的一种Bayes方法[J]. 工程数学学报, 2000, 17(4): 25-29. |
JIANG Liping, ZHANG Zhihua. A Bayesian Method of Reliability Qualification Test in Binomial Case[J]. Journal of Engineering Mathematics, 2000, 17(4): 25-29. | |
3 | 田霆, 陈祥钟, 黄春棋, 等. 定时截尾缺失数据下指数分布的统计推断[J]. 华侨大学学报(自然科学版), 2010, 31(1): 109-112. |
TIAN Ting, CHEN Xiangzhong, HUANG Chunqi, et al. Statistical Inference for the Exponential Distribution under Multiply Type-Ⅰ Censoring[J]. Journal of Huaqiao University(Natural Science Edition), 2010, 31(1): 109-112. | |
4 | 凡根喜, 熊志昂. 定检数据出现“倒挂”和零失效、装备贮存可靠性的评估[J]. 系统工程与电子技术, 1993, 15(9): 76-80. |
FAN Genxi, XIONG Zhiang. The Evaluation of System Storage Reliability when Disorder and Zero-Failure Data Appear in Periodic Test[J]. Systems Engineering and Electronic Technology, 1993, 15(9): 76-80. | |
5 | 张尧庭, 刘鸿翔. 可靠性统计分析中“倒挂”数据的处理方法[J]. 应用数学, 1991, 4(4): 22-28. |
ZHANG Yaoting, LIU Hongxiang. Disordered Data Analysis in the Reliability Statistics[J]. Mathematica Applicata, 1991, 4(4): 22-28. | |
6 | 李翰朋, 宣兆龙, 朱宏. 无验前信息的成败型弹药产品可靠性评估[J]. 兵工自动化, 2018, 37(9): 70-73, 79. |
LI Hanpeng, XUAN Zhaolong, ZHU Hong. Reliability Evaluation for Success-or-Failure Pattern Ammunition Products Without Priori Information Distribution[J]. Ordnance Industry Automation, 2018, 37(9): 70-73, 79. | |
7 | 张仕念, 颜诗源, 张国彬, 等. 基于能执行任务率的导弹武器装备贮存寿命综合评估方法[J]. 系统工程理论与实践, 2015, 35(2): 513-520. |
ZHANG Shinian, YAN Shiyuan, ZHANG Guobin, et al. Storage Life Synthesis Evaluation Method of Guided Missile Weapon Based on Mission Capable Rate[J]. Systems Engineering-Theory & Practice, 2015, 35(2): 513-520. | |
8 | 张文杰, 杨华波, 张士峰. 基于Bayes混合验前分布的成败型产品可靠性评估[J]. 兵工学报, 2016, 37(3): 505-511. |
ZHANG Wenjie, YANG Huabo, ZHANG Shifeng. Reliability Assessment for Device with only Safe-or-Failure Pattern Based on Bayesian Hyprid Prior Approach[J]. Acta Armamentarii, 2016, 37(3): 505-511. | |
9 | 林静, 韩玉启, 朱慧明, 等. 基于MCMC稳态模拟方法的弹药贮存可靠性评估模型[J]. 兵工学报, 2007, 28(3): 315-318. |
LIN Jing, HAN Yuqi, ZHU Huiming, et al. Reliability Models of Ammunition Storage Based on MCMC Simulation Method[J]. Acta Armamentarii, 2007, 28(3): 315-318. | |
10 | LIU Fang, GONG Hua, CAI Ligang, et al. Prediction of Ammunition Storage Reliability Based on Improved Ant Colony Algorithm and BP Neural Network[J]. Complexity, 2019, 2019(1): 5039097. |
11 | ZHANG Yongjin, ZHAO Ming, ZHANG Shitao, et al. An Integrated Approach to Estimate Storage Reliability with Initial Failures Based on E-Bayesian Estimates[J]. Reliability Engineering & System Safety, 2017, 159: 24-36. |
12 | SHEN Anwei, GUO Jilian, WANG Zhuojian, et al. A Novel Reliability Evaluation Method on Censored Data[J]. Journal of Mechanical Science and Technology, 2017, 31(3): 1105-1117. |
13 | ZHANG Lulu, JIN Guang, YOU Yang. Reliability Assessment for Very Few Failure Data and Weibull Distribution[J]. Mathematical Problems in Engineering, 2019, 19(1): 89479059. |
14 | 游达章. 最小二乘法在威布尔分布的可靠性评估[J]. 湖北工业大学学报, 2009, 24(4): 34-35, 45. |
YOU Dazhang. The Application and Arithmetic of the Least Square Method in the Reliability Assessment Based on Weibull Distribution[J]. Journal of Hubei University of Technology, 2009, 24(4): 34-35, 45. | |
15 | 于晓红, 张来斌, 王朝晖, 等. 基于新的威布尔分布参数估计法的设备寿命可靠性分析[J]. 机械强度, 2007, 29(6): 932-936. |
YU Xiaohong, ZHANG Laibin, WANG Zhaohui, et al. Reliability Life Analysis of the Equipment Based on New Weibull Distribution Parameter Estimation Method[J]. Journal of Mechanical Strength, 2007, 29(6): 932-936. | |
16 | 罗赓, 谢宇, 赵伟庆, 等. 弹载机电产品贮存环境试验最小试验样本量设计[J]. 电光与控制, 2017, 24(8): 66-70. |
LUO Geng, XIE Yu, ZHAO Weiqing, et al. Minimum Sample Size Design for Missile-Borne Electromechanical Products in Storage Environmental Test[J]. Electronics Optics & Control, 2017, 24(8): 66-70. |
[1] | Baogang LI, Shuang CUI, Depeng DONG. Evaluation of Missile Equipment Maintenance Support Effectiveness Based on Gray-Improved Two-tuple Linguistic Information [J]. Modern Defense Technology, 2024, 52(5): 127-137. |
[2] | Jianyin ZHAO, Tingliu MAO, Genqing YANG, Weihe SUN. Maximum Correlation Entropy Kalman Filter Error Correction Method [J]. Modern Defense Technology, 2024, 52(5): 156-161. |
[3] | Jiutao WU, Zhiqian WU, Chao YANG. Digital Research and Development Methods for Electronic Information Equipment [J]. Modern Defense Technology, 2024, 52(5): 25-30. |
[4] | Xu ZHANG, Peng ZENG, Mingying WEI, Xu LI, Jianheng XUE, Chao WANG. Research on the Development and Performance Analysis of the KEI Missile in the United States [J]. Modern Defense Technology, 2024, 52(5): 31-39. |
[5] | Qiang LÜ, Jingguo WANG, Hui ZHONG, Yuechuan LIANG. Propagation Delay Measurement System of TDOA Target Simulation Signal Through Photon Link [J]. Modern Defense Technology, 2024, 52(5): 73-79. |
[6] | Yuna YUE, Yan WU, Boyu ZHANG, Zhihui QI. Elements Identification of Rapid Response of Launch System Based on Association Rule [J]. Modern Defense Technology, 2024, 52(4): 137-145. |
[7] | Jiaxin LIAO, Gang CHEN, Houxin HE, Qingbing ZHANG. Research Progress in Simulation of Throw Hood Separation [J]. Modern Defense Technology, 2024, 52(4): 154-161. |
[8] | Shuaihao YAN, Mingying WEI, Yongbin ZHENG. Research on Time/Frequency-Domain Index Mapping of Air-Defense Missile Rolling Channel Control [J]. Modern Defense Technology, 2024, 52(4): 33-44. |
[9] | Rixin SU, Ou ZHANG. Research on Method of Missile Stability Control Based on Improved PID-LQR Algorithm [J]. Modern Defense Technology, 2024, 52(3): 73-79. |
[10] | Qi LI, Qian GAO, Xiaohui SUN, Ning MEI, Feng GUO. Research of Command and Control Model Design Based on Evaluation Model [J]. Modern Defense Technology, 2024, 52(3): 80-86. |
[11] | Jiaxi CHEN, Yuhao WANG, Chen CHENG, Xiaorui YUE. Research on the Evaluation Method of Launch Flight Reliability of Missile [J]. Modern Defense Technology, 2024, 52(3): 137-142. |
[12] | Yan YU, Pengying BAI, Xuefeng ZHANG. Application of Quick Hull Algorithm in State Monitoring for Missile Launcher [J]. Modern Defense Technology, 2024, 52(3): 143-150. |
[13] | Qiang QIN, Min HU, Jingshuai CAO, Ang LI. Research on Friction Torque Test Technology of Jet Vane's Manipulator [J]. Modern Defense Technology, 2024, 52(3): 159-169. |
[14] | Zhehao WANG, Tian LI, Haidong YAN, Yudong HU, Changsheng GAO. Improved Drag Acceleration Profile Design for Hypersonic Vehicles [J]. Modern Defense Technology, 2024, 52(2): 115-123. |
[15] | Hongyan ZANG, Kai WANG, Changsheng GAO, Wuxing JING, Yuexin WANG. Trajectory Tracking of Hypersonic Vehicles Based on Moving Horizon Estimation [J]. Modern Defense Technology, 2024, 52(2): 132-144. |
Viewed | ||||||||||||||||||||||||||||||||||||||||||||||||||
Full text 25
|
|
|||||||||||||||||||||||||||||||||||||||||||||||||
Abstract 47
|
|
|||||||||||||||||||||||||||||||||||||||||||||||||