大型相控阵雷达T/R组件维修决策问题综述

doi:10.12305/j.issn.1001-506X.2022.01.17

摘要/Abstract

摘要：

现阶段对于大型相控阵雷达T/R组件何时开展换件维修、维修时全部更换故障组件还是部分更换、备件数量如何配置等有关问题还没有一个具体标准, 开展T/R组件维修决策问题研究可为装备保障人员提供维修决策支持。首先, 对T/R组件维修决策的主要内容进行阐述界定。其次，分别从故障数据预测、故障寿命分布、基于故障数据的设备性能评估3个方面对故障数据建模研究现状进行分析。然后，从维修策略类型和维修策略优化模型两个方面重点对维修策略进行阐述, 并对以可用度、备件满足率、备件期望短缺数、任务成功率等为决策变量的备件库存策略进行分析。最后，分析了现有方法存在的不足, 提出T/R组件维修决策需要解决的上述3个重要问题, 为后续研究提供理论支撑。

关键词: 相控阵雷达, T/R组件, 故障数据, 维修策略, 备件库存策略

Abstract:

At this stage, there is no specific standard on when to replace the T/R module of large-scale phased array radar, whether to replace all or part of the faulty module during maintenance, and how to configure the number of spare parts. The research on the maintenance decision of T/R module can provide maintenance decision support for equipment support personnel. Firstly, the main contents of T/R module maintenance decision are described and defined. Secondly, the research status of failure data modeling is analyzed from three aspects: failure data prediction, failure life distribution and equipment performance evaluation based on fault data. Then, it focuses on the maintenance strategy from two aspects: the type of maintenance strategy and the optimization model of maintenance strategy, and analyzes the spare parts inventory strategy with availability, spare parts satisfaction rate, expected shortage of spare parts and task success rate as decision variables. Finally, the shortcomings of existing methods are analyzed, and the above three important problems to be solved in T/R module maintenance decision-making are put forward to provide theoretical support for follow-up research.

Key words: phased array radar, T/R module, failure data, maintenance strategy, spare parts inventory strategy

中图分类号:

TN95

蒋伟, 盛文, 祁炜, 刘诗华. 大型相控阵雷达T/R组件维修决策问题综述[J]. 系统工程与电子技术, 2022, 44(1): 127-138.

Wei JIANG, Wen SHENG, Wei QI, Shihua LIU. Survey on maintenance decision of large-scale phased array radar's T/R module[J]. Systems Engineering and Electronics, 2022, 44(1): 127-138.

图/表 5

参考文献 88

1	鲍一丹, 吴燕萍, 何勇. 基于GM(1, 1)模型和线性回归的组合预测新方法[J]. 系统工程理论与实践, 2004, 36 (3): 95- 98. doi: 10.3321/j.issn:1000-6788.2004.03.016
	BAO Y D , WU Y P , HE Y . A new forecasting model based on the combination of GM(1, 1) model and linear regression[J]. Systems Engineering-Theory & Practice, 2004, 36 (3): 95- 98. doi: 10.3321/j.issn:1000-6788.2004.03.016
2	帅勇, 宋太亮, 王建平. 考虑全过程优化的支持向量机预测方法[J]. 系统工程与电子技术, 2017, 39 (4): 931- 939.
	SHUAI Y , SONG T L , WANG J P . Method on support vector machine prediction considering whole process optimization[J]. Systems Engineering and Electronics, 2017, 39 (4): 931- 939.
3	马军杰, 尤建新, 陈震. 基于改进粒子群优化算法的灰色神经网络模型[J]. 同济大学学报(自然科学版), 2012, 40 (5): 740- 743. doi: 10.3969/j.issn.0253-374x.2012.05.016
	MA J J , YOU J X , CHEN Z . Grey neural network model based on modified particle swarm optimization algorithm and its application[J]. Journal of Tongji University (Natural Science), 2012, 40 (5): 740- 743. doi: 10.3969/j.issn.0253-374x.2012.05.016
4	陈丹丹, 姚智刚, 李磊, 等. 舰船机电系统非完备使用故障数据分析[J]. 国防科技大学学报, 2016, 38 (5): 183- 188.
	CHEN D D , YAO Z G , LI L , et al. Analysis on imperfect failure data of warship electromechanical system[J]. Journal of National University of Defense Technology, 2016, 38 (5): 183- 188.
5	王铁宁, 吴龙涛, 杨帆. 基于贝叶斯法的定时截尾小样本指数型装备器材需求预测[J]. 装甲兵工程学院学报, 2017, 31 (4): 29- 34. doi: 10.3969/j.issn.1672-1497.2017.04.006
	WANG T N , WU L T , YANG F . Demand forecasting for equipment materials with exponential life distribution based on Bayesian estimation under type I censored small sample[J]. Journal of Academy of Armored Force Engineering, 2017, 31 (4): 29- 34. doi: 10.3969/j.issn.1672-1497.2017.04.006
6	吴立金, 夏冉, 詹红燕, 等. 基于深度学习的故障预测技术研究[J]. 计算机测量与控制, 2018, 26 (2): 9- 12.
	WU L J , XIA R , ZHAN H Y , et al. Fault prediction technology based on deep learning[J]. Computer Measurement & Control, 2018, 26 (2): 9- 12.
7	徐飞, 杨士英, 魏祥生. 基于改进灰色预测模型的雷达备件消耗预测[J]. 雷达科学与技术, 2015, 13 (6): 609- 614. doi: 10.3969/j.issn.1672-2337.2015.06.009
	XU F , YANG S Y , WEI X S . The forecast of radar spare part consumption based on the improved gray forecasting model[J]. Radar Science and Technology, 2015, 13 (6): 609- 614. doi: 10.3969/j.issn.1672-2337.2015.06.009
8	刘解放, 刘思峰, 吴利丰. 分数阶反向累加NHGM(1, 1, k)均模型及其应用研究[J]. 系统工程理论与实践, 2016, 36 (4): 1033- 1040.
	LIU J F , LIU S F , WU L F . Research on fractional order reverse accumulative NHGM(l, l, k) model and its application[J]. Sys tems Engineering-Theory & Practice, 2016, 36 (4): 1033- 1040.
9	刘解放, 刘思峰, 吴利丰. 分数阶反向累加离散灰色模型及其应用研究[J]. 系统工程与电子技术, 2016, 38 (3): 719- 724.
	LIU J F , LIU S F , WU L F . Fractional order reverse accumulative discrete grey model and its application[J]. Systems Engineering and Electronics, 2016, 38 (3): 719- 724.
10	吴海兵, 徐佳, 夏磊凯. 不同初始条件下新陈代谢灰色模型的沉降预测效果分析[J]. 勘察科学技术, 2016, 38 (2): 48- 51. doi: 10.3969/j.issn.1001-3946.2016.02.012
	WU H B , XU J , XIA L K . Analysis of settlement predicting effect of metabolic grey model under different initial con dition[J]. Survey Science and Technology, 2016, 38 (2): 48- 51. doi: 10.3969/j.issn.1001-3946.2016.02.012
11	刘寒冰, 向一鸣, 阮有兴. 背景值优化的多变量灰色模型在路基沉降预测中的应用[J]. 岩土力学, 2013, 34 (1): 173- 180.
	LIU H B , XIANG Y M , RUAN Y X . A multivariable grey model based on background value optimization and its application to subgrade settlement prediction[J]. Rock and Soil Mechanics, 2013, 34 (1): 173- 180.
12	高彩云, 崔希民, 高宁. 顾及不同约束准则的变形并联组合预测模型研究[J]. 大地测量与地球动力学, 2014, 34 (3): 91- 94.
	GAO C Y , CUI X M , GAO N . Study on deformation parallel combination prediction under different restriction criterion[J]. Journal of Geodesy and Geodynamics, 2014, 34 (3): 91- 94.
13	朱家元, 张恒喜, 张喜斌. 基于智能复合结构的可靠性分布模式自动识别[J]. 航空学报, 2003, 24 (3): 207- 211. doi: 10.3321/j.issn:1000-6893.2003.03.004
	ZHU J Y , ZHANG H X , ZHANG X B . Reliability distributions automatic identification based on intelligent combined structure model[J]. Acta Aeronautics et Astronautics Sinica, 2003, 24 (3): 207- 211. doi: 10.3321/j.issn:1000-6893.2003.03.004
14	梁广辉, 薛俊杰, 胡良谋. 基于最大总体平均隶属优势准则的变量泵寿命分布模糊模式识别研究[J]. 现代制造工程, 2014, 43 (10): 130- 133. doi: 10.3969/j.issn.1671-3133.2014.10.027
	LIANG G H , XUE J J , HU L M . Research on fuzzy pattern recognition of variable displacement pump life distribution based on the maximum average membership advantage criteria[J]. Modern Manufanturing Engineering, 2014, 43 (10): 130- 133. doi: 10.3969/j.issn.1671-3133.2014.10.027
15	宫凤强, 黄天朗, 李夕兵. 岩土参数最优概率分布推断方法及判别准则的研究[J]. 岩石力学与工程学报, 2016, 35 (12): 2452- 2459.
	GONG F Q , HUANG T L , LI X B . Research on approximation method and discriminative criterion of the optimal probability distribution of geotechnical parameters[J]. Chinese Journal of Rock Mechanics and Engineering, 2016, 35 (12): 2452- 2459.
16	沈峥嵘, 时钟. 大型装备外场故障数据分析与可靠性评估方法[J]. 可靠性与环境适应性理论研究, 2012, 30 (6): 29- 34.
	SHEN Z R , SHI Z . Outfield failure data analysis and reliability assessment for large-scale weapon equipment[J]. Electronic Product Reliability and Environmental Testing, 2012, 30 (6): 29- 34.
17	沈安慰, 郭基联, 王卓健. 航空装备现场数据可靠性评估方法有效性分析[J]. 航空学报, 2014, 35 (5): 1311- 1318.
	SHEN A W , GUO J L , WANG Z J . Validity analysis of reliability evaluation method in aviation equipment field data[J]. Acta Aeronautics et Astronautics Sinica, 2014, 35 (5): 1311- 1318.
18	黄大荣, 陈长沙, 孙国玺. 复杂装备轴承多重故障的线性判别分析与反向传播神经网络协作诊断方法[J]. 兵工学报, 2017, 38 (8): 1649- 1656. doi: 10.3969/j.issn.1000-1093.2017.08.024
	HUANG D R , CHEN C S , SUN G X . Linear discriminant analysis and back propagation neural network cooperative diagnosis method for multiple faults of complex equipment bearings[J]. Acta Armamentarii, 2017, 38 (8): 1649- 1656. doi: 10.3969/j.issn.1000-1093.2017.08.024
19	姜杰, 郭威, 黄文兴. 基于故障数据的线路分布参数时域辨识方法[J]. 电力系统保护与控制, 2013, 41 (14): 7- 12. doi: 10.7667/j.issn.1674-3415.2013.14.002
	JIANG J , GUO W , HUANG W X . Distributed parameter time domain identification method of transmission lines based on fault records[J]. Power System Protection and Control, 2013, 41 (14): 7- 12. doi: 10.7667/j.issn.1674-3415.2013.14.002
20	VATHOOPAN M , JOHNY M , ZOITL A , et al. Modular fault ascription and corrective maintenance using a digital twin[J]. IFAC-PapersOnLine, 2018, 51 (11): 1041- 1046. doi: 10.1016/j.ifacol.2018.08.470
21	RAVINDRA B P, MERU A P, VIDYA R, et al. Predictive modeling for corrective maintenance of imaging devices from ma chine logs[C]//Proc. of the 39th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2017: 1676-1679.
22	ERKOYUNCU J A , KHAN S , EIROA A L , et al. Perspectives on trading cost and availability for corrective maintenance at the equipment type level[J]. Reliability Engineering & System Safety, 2017, 168 (1): 53- 69.
23	AMANATIDIS T , CHATZIGEORGIOU A , AMPATZOGLOU A . The relation between technical debt and corrective maintenance in PHP web applications[J]. Information and Software Technology, 2017, 90 (1): 70- 74.
24	LIU X N, WANG L S. Transition from time-based preventive maintenance to condition-based maintenance[C]//Proc. of the 25th International Conference on Nuclear Engineering, 2017.
25	DE J B , DIJKSTRA A S , ROMEIJNDERS W . Cost benefits of postponing time-based maintenance under lifetime distribution uncer tainty[J]. Reliability Engineering & System Safety, 2015, 140 (8): 70- 74.
26	QI C L, LI J M, SHAO C L. Second order-based real-time anomaly detection for application maintenance services[C]//Proc. of the International Conference on Services Science, 2015: 37-44.
27	BRAM D J , RUUD T , TIEDO T . The influence of practical factors on the benefits of condition-based maintenance over time-based maintenance[J]. Reliability Engineering & System Safety, 2017, 158 (8): 21- 30.
28	LIU Y J , HU Y G , ZHOU R . An approach based on improved grey model for predicting maintenance time of IPS2[J]. Procedia CIRP, 2016, 47, 204- 209. doi: 10.1016/j.procir.2016.03.047
29	BIANCHINI A , ROSSI J . A procedure for condition-based maintenance and diagnostics of submersible well pumps through vibration monitoring[J]. International Journal of Systems Assurance Engineering and Management, 2018, 9 (5): 999- 1013. doi: 10.1007/s13198-018-0711-3
30	SEYED H A , ABBAS A , KANNAN G . A novel integrated condition-based maintenance and stochastic flexible job shop scheduling problem: simulation-based optimization approach[J]. Annals of Operations Research, 2018, 269 (1): 583- 621.
31	AYO-IMORU R M , CILLIERS A C . A survey of the state of condition- based maintenance (CBM) in the nuclear power industry[J]. Annals of Nuclear Energy, 2018, 112 (1): 177- 188.
32	CIPOLLINI F , ONETO L , CORADDU A , et al. Condition-based maintenance of naval propulsion systems with supervised data analysis[J]. Ocean Engineering, 2018, 149 (1): 268- 278.
33	CIPOLLINI F , ONETO L , CORADDU A , et al. Condition-based maintenance of naval propulsion systems: data analysis with minimal feed back[J]. Reliability Engineering & System Safety, 2018, 177 (1): 12- 23.
34	LU Y , LI P S , ZHANG X Y , et al. Condition based maintenance optimization for offshore wind turbine considering opportunities based on neural network approach[J]. Applied Ocean Research, 2018, 74 (1): 69- 79.
35	张仕新, 暂翔, 李浩, 等. 状态维修关键技术及应用的研究现状与展望[J]. 兵工自动化, 2014, 33 (10): 15- 21. doi: 10.7690/bgzdh.2014.10.005
	ZHANG S X , ZAN X , LI H , et al. Research status and prospect of condition-based maintenance key technology and applicat ion[J]. Ordnance Industry Automation, 2014, 33 (10): 15- 21. doi: 10.7690/bgzdh.2014.10.005
36	GUPTA G , MISHRA R P . Identification of critical components using ANP for implementation of reliability centered maintenance[J]. Procedia CIRP, 2018, 69, 905- 909. doi: 10.1016/j.procir.2017.11.122
37	SEYED H A R , ABBAS A , BEHROOZ K . Multi-objective evolutionary simulation based optimization mechanism for a novel stochastic reliability centered maintenance problem[J]. Swarm and Evolutionary Computation, 2018, 40 (1): 255- 271.
38	PRADIP K C , SUSHIL K B , MANIK C M . Quantified risk ranking model for condition-based risk and reliability centered mainte nance[J]. Journal of the Institution of Engineers, 2017, 98 (3): 325- 333.
39	FARZANEH P , MAHMUD F F , PAYMAN D . Application of game theory in reliability-centered maintenance of electric power systems[J]. IEEE Trans.on Industry Applications, 2017, 53 (2): 936- 946. doi: 10.1109/TIA.2016.2639454
40	VILAYPHONH O, PREMRUDEEPREECHACHARN S, NGAMSANROAJ K. Reliability centered maintenance for electrical distribution system of phontong substation in vientiane capital[C]//Proc. of the 6th International Youth Conference on Energy, 2017: 147-252.
41	GAJANAND G , RAJESH P M . A SWOT analysis of reliability centered maintenance framework[J]. Journal of Quality in Maintenance Engineering, 2016, 22 (2): 130- 145. doi: 10.1108/JQME-01-2015-0002
42	GUPTA G , MISHRA R P , SINGHVI P . An application of reliability centered maintenance using RPN mean and range on conventional lathe machine[J]. International Journal of Reliability, Quality and Safety Engineering, 2016, 23 (6): 1640010. doi: 10.1142/S0218539316400106
43	MAHMOUD A , RAMI A A . Reliability centered maintenance actions prioritization using fuzzy inference systems[J]. Journal of Quality in Maintenance Engineering, 2016, 22 (4): 433- 452. doi: 10.1108/JQME-07-2015-0029
44	欧阳豪, 马大为. 基于装备最优使用率的维修决策模型[J]. 火力与指挥控制, 2010, 35 (5): 163- 165. doi: 10.3969/j.issn.1002-0640.2010.05.048
	OUYANG H , MA D W . An optimal maintenance strategy based on the maximum utilization ratio of combat equipments[J]. Fire Control & Command Control, 2010, 35 (5): 163- 165. doi: 10.3969/j.issn.1002-0640.2010.05.048
45	吕学志, 于永利, 张柳. 考虑拼修与多种维修活动的维修任务选择模型[J]. 兵工学报, 2012, 33 (3): 360- 366.
	LYU X Z , YU Y L , ZHANG L . Selective maintenance model considering cannibalization and multiple maintenance a ctions[J]. Acta Armamentarii, 2012, 33 (3): 360- 366.
46	FROSTING E , LEVIKSON B . On the availability of R out of N repairable system[J]. Naval Research Logistics, 2002, 49 (5): 483- 498. doi: 10.1002/nav.10025
47	聂涛, 盛文. K: N统可修复备件两级供应保障优化研究[J]. 系统工程与电子术, 2010, 32 (7): 1452- 1455.
	NIE T , SHENG W . Research on two-echelon supply support optimizing for repairable spare parts of K: N system[J]. Systems Engineering and Electronics, 2010, 32 (7): 1452- 1455.
48	卢雷, 杨江平. k/N(G)结构系统初始备件配置方法[J]. 航空学报, 2014, 35 (3): 773- 778.
	LU L , YANG J P . Initial spare allocation method for k/N(g) structure system[J]. Acta Aeronautics et Astronautics Sinica, 2014, 35 (3): 773- 778.
49	阮旻智, 李庆明, 彭英武. 任意结构系统的备件满足率模型及优化方法[J]. 系统工程与电子技术, 2011, 33 (8): 1799- 1803. doi: 10.3969/j.issn.1001-506X.2011.08.23
	RUAN M Z , LI Q M , PENG Y W . Model of spa re part fill rate for systems of various structures and optimization method[J]. Systems Engineering and Electro nics, 2011, 33 (8): 1799- 1803. doi: 10.3969/j.issn.1001-506X.2011.08.23
50	张涛, 张建军, 郭波. 基于使用可用度的k/N系统(m, NG)维修策略分析[J]. 宇航学报, 2009, 30 (1): 395- 401. doi: 10.3873/j.issn.1000-1328.2009.00.071
	ZHANG T , ZHANG J J , GUO B . Operational availability-based analysis of (m, NG) maintenance policy of k-out-of-N system[J]. Journal of Astronautics, 2009, 30 (1): 395- 401. doi: 10.3873/j.issn.1000-1328.2009.00.071
51	贾秀芹, 刘瑞元. k/n系统在(n, L, r, r)维修策略下的可用度[J]. 西南大学学报, 2011, 33 (9): 17- 21.
	JIA X Q , LIU R Y . Availability for the k-out-of-n system under (n, L, r, r) maintenance policy[J]. Journal of Southwest University, 2011, 33 (9): 17- 21.
52	艾宝利, 武昌. 两级维修保障下k/N系统使用可用度模型[J]. 系统工程学报, 2011, 26 (3): 421- 426.
	AI B L , WU C . Operational availability model for k/N system under two grade maintenance support policy[J]. Journal of Systems Engineering, 2011, 26 (3): 421- 426.
53	王永攀, 杨江平, 武高卫. 阵面分布不均匀的相控阵天线维修优化模型[J]. 系统工程与电子技术, 2016, 38 (4): 767- 772.
	WANG Y P , YANG J P , WU G W . Maintenance optimal model for asymmetrical phased array antenna[J]. Systems Engineering and Electronics, 2016, 38 (4): 767- 772.
54	王永攀, 杨江平, 张宇. 引入区域量化的相控阵天线维修优化模型[J]. 国防科技大学学报, 2016, 38 (2): 92- 98.
	WANG Y P , YANG J P , ZHANG Y . Maintenance optimal model for phased array antenna with regional quantification[J]. Systems Engineering and Electronics, 2016, 38 (2): 92- 98.
55	尉强, 刘忠. 考虑时间延迟的k/N(G)系统视情维修策略优化与仿真[J]. 海军工程大学学报, 2015, 27 (4): 41- 44.
	WEI Q , LIU Z . Simulation and optimization of condition-based maintenance strategy for k/N (G) system[J]. Journal of Naval University of Engineering, 2015, 27 (4): 41- 44.
56	李常有, 徐敏强, 郭耸. 具有混合数据的维修策略决策方法[J]. 机械工程学报, 2008, 44 (10): 32- 37. doi: 10.3321/j.issn:0577-6686.2008.10.005
	LI C Y , XU M Q , GUO S . Approach for maintenance strategy decision making with mized data[J]. Chinese Journal of Mechanical Engineering, 2008, 44 (10): 32- 37. doi: 10.3321/j.issn:0577-6686.2008.10.005
57	胡涛, 王树宗, 杨建军. 基于最小维修策略的多阶段任务成功性仿真模型[J]. 海军工程大学学报, 2009, 21 (3): 66- 70.
	HU T , WANG S Z , YANG J J . Simulation model for phased mssion availability based on minimal maintenance strategy[J]. Journal of Naval University of Engineering, 2009, 21 (3): 66- 70.
58	肖磊, 金光, 厉海涛. 基于多模型的能源组件维修性建模与仿真研究[J]. 计算机工程与科学, 2012, 34 (6): 182- 185. doi: 10.3969/j.issn.1007-130X.2012.06.036
	XIAO L , JIN G , LI H T . Research of the maintenance modeling and simulation of energy modules based on multi -model[J]. Computer Engineering & Science, 2012, 34 (6): 182- 185. doi: 10.3969/j.issn.1007-130X.2012.06.036
59	王严, 马麟, 文佳. 考虑保障设备故障的装备维修保障模型[J]. 北京航空航天大学学报, 2012, 38 (1): 123- 127.
	WANG Y , MA L , WEN J . Maintenance support model of materiel considering support equipment failure[J]. Journal of Beijing University of Aeronautics and Astronautics, 2012, 38 (1): 123- 127.
60	江秀红, 段富海, 李玉峰. 复杂冗余系统的预测维修决策[J]. 航空学报, 2015, 36 (11): 3666- 3675.
	JIANG X H , DUAN F H , LI Y F . Predictive maintenance strategy for complex redundant system[J]. Acta Aeronautics et Astronautics Sinica, 2015, 36 (11): 3666- 3675.
61	余勃彪, 魏勇. 基于两级库存的装备备件配置优化模型[J]. 装甲兵工程学院学报, 2014, 28 (6): 23- 27.
	YU B B , WEI Y . Configuration optimizing model of equipment spare parts based on two-echelon storage system[J]. Journal of Academy of Armored Force Engineering, 2014, 28 (6): 23- 27.
62	阮旻智, 李庆民, 李承. 改进的分层边际算法优化备件的初始配置方案[J]. 兵工学报, 2012, 33 (10): 1251- 1257.
	RUAN M Z , LI Q M , LI C . Improved-layered-marginal algorithm to optimize initial spare part configuration project[J]. Acta Armamentarii, 2012, 33 (10): 1251- 1257.
63	董琪, 徐廷学, 杨继坤. 基于改进边际优化算法的备件配置研究[J]. 现代防御技术, 2015, 43 (5): 198- 204. doi: 10.3969/j.issn.1009-086x.2015.05.032
	DONG Q , XU T X , YANG J K . Improved marginal algorithm for spare parts configuration[J]. Modern Defence Technology, 2015, 43 (5): 198- 204. doi: 10.3969/j.issn.1009-086x.2015.05.032
64	蔡泽明, 康锐, 龙军. 面向系统优化的备件动态配置方法[J]. 系统工程与电子技术, 2010, 32 (11): 2363- 2366.
	CAI Z M , KANG R , LONG J . System optimization oriented dynamic configuration method[J]. Systems Engineering and Electronics, 2010, 32 (11): 2363- 2366.
65	聂涛, 盛文, 王晗中. 装备备件两级闭环供应链库存优化与分析[J]. 系统工程理论与实践, 2010, 30 (12): 2309- 2314. doi: 10.12011/1000-6788(2010)12-2309
	NIE T , SHENG W , WANG H Z . Optimizing and analyzing two-echelon closed loop supply chain storage system for equipment spare parts[J]. Systems Engineering-Theory & Practice, 2010, 30 (12): 2309- 2314. doi: 10.12011/1000-6788(2010)12-2309
66	张永强, 徐宗昌, 孙寒冰. 基于蒙特卡罗仿真和并行粒子群优化算法的携行备件优化[J]. 兵工学报, 2016, 37 (1): 122- 130. doi: 10.3969/j.issn.1000-1093.2016.01.019
	ZHANG Y Q , XU Z C , SUN H B . Optimization of carried spare parts parallel particle swarm based on Monte Carlo simulation and optimization algorithm[J]. Acta Armamentarii, 2016, 37 (1): 122- 130. doi: 10.3969/j.issn.1000-1093.2016.01.019
67	薛陶, 冯蕴雯, 秦强. 考虑报废的K/N冷备份冗余系统可修复备件优化[J]. 华南理工大学学报(自然科学版), 2014, 42 (1): 41- 46. doi: 10.3969/j.issn.1000-565X.2014.01.008
	XUE T , FENG Y W , QIN Q . Optimization of repairable spare parts for K/N cold-standby redundant system considering scraps[J]. Journal of South China University of Technology (Natural Science Edition), 2014, 42 (1): 41- 46. doi: 10.3969/j.issn.1000-565X.2014.01.008
68	陈砚桥, 金家善, 黄政. 批量独立可修件的备件需求预测仿真算法[J]. 海军工程大学学报, 2007, 19 (6): 79- 81. doi: 10.3969/j.issn.1009-3486.2007.06.019
	CHEN Y Q , JIN J S , HUANG Z . A simulation algorithm of spares requirement estimation for repairable component in bat ches[J]. Journal of Naval University of Engineering, 2007, 19 (6): 79- 81. doi: 10.3969/j.issn.1009-3486.2007.06.019
69	蔡芝明, 金家善, 陈砚桥. 多约束下编队随船备件配置优化方法[J]. 系统工程与电子技术, 2011, 33 (10): 838- 843.
	CAI Z M , JIN J S , CHEN Y Q . Warship formation spare parts allotment optimization method under multi-constraints[J]. Systems Engineering and Electronics, 2011, 33 (10): 838- 843.
70	赵建忠, 李海军, 叶文. 改进系统备件满足率约束下的备件优化配置建模[J]. 兵工学报, 2013, 34 (9): 1187- 1192.
	ZHAO J Z , LI H J , YE W . Optimization configuration modeling of spare parts under constraint of improved system spare part fill rate[J]. Acta Armamentarii, 2013, 34 (9): 1187- 1192.
71	罗祎, 阮旻智, 袁志勇. 多级维修供应下可修复备件库存建模与优化[J]. 系统工程理论与实践, 2013, 33 (10): 2623- 2630. doi: 10.12011/1000-6788(2013)10-2623
	LUO Y , RUAN M Z , YUAN Z Y . Modeling and optimization of repairable spare parts under the multi-echelon maintenance supply[J]. Systems Engineering Theory & Practice, 2013, 33 (10): 2623- 2630. doi: 10.12011/1000-6788(2013)10-2623
72	魏曙寰, 陈砚桥, 金家善. 空间和费用约束条件下的随船备件配置优化方法[J]. 系统工程与电子技术, 2013, 35 (12): 2540- 2544. doi: 10.3969/j.issn.1001-506X.2013.12.16
	WEI S H , CHEN Y Q , JIN J S . Warship spare parts allotment optimization method under space and cost constraints[J]. Systems Engineering and Electronics, 2013, 35 (12): 2540- 2544. doi: 10.3969/j.issn.1001-506X.2013.12.16
73	张志华, 应新雅, 费广玉. 串联系统备件满足率分配及配置优化[J]. 系统工程理论与实践, 2015, 35 (11): 2987- 2992. doi: 10.12011/1000-6788(2015)11-2987
	ZHANG Z H , YING X Y , FEI G Y . Series system spares fill rate allocation and optimization[J]. Systems Engineering Theory & Practice, 2015, 35 (11): 2987- 2992. doi: 10.12011/1000-6788(2015)11-2987
74	王铁宁, 吴龙涛, 杨帆. 装甲装备贵重、低消耗可修复备件两级库存配置建模与仿真[J]. 装甲兵工程学院学报, 2017, 31 (6): 17- 23. doi: 10.3969/j.issn.1672-1497.2017.06.004
	WANG T N , WU L T , YANG F . Two-echelon inventory allocation modeling and simulation of armored equipment repairable spare parts with high value and low consumption rate[J]. Journal of Academy of Armored Force Engineering, 2017, 31 (6): 17- 23. doi: 10.3969/j.issn.1672-1497.2017.06.004
75	周伟, 王东锋, 刘亚杰. 考虑相关失效的备件优化配置模型[J]. 系统工程与电子技术, 2011, 33 (10): 2338- 2342. doi: 10.3969/j.issn.1001-506X.2011.10.38
	ZHOU W , WANG D F , LIU Y J . Allocation optimization model for spare parts concerned with dependent failures[J]. Systems Engineering and Electronics, 2011, 33 (10): 2338- 2342. doi: 10.3969/j.issn.1001-506X.2011.10.38
76	肖蕾, 张志峰. 基于串件拼修策略的工程装备备件库存控制[J]. 海军工程大学学报, 2012, 24 (6): 80- 83.
	XIAO L , ZHANG Z F . Study of engineering equipment spare parts inventory control based on cannibalizing strategies[J]. Journal of Naval University of Engineering, 2012, 24 (6): 80- 83.
77	冯晓, 郭霖瀚, 宋常浩, 等. 基于CTMC族的多部件装备群稳态可用度建模方法[J]. 系统工程与电子技术, 2018, 40 (6): 1405- 1410.
	FENG X , GUO L H , SONG C H , et al. Steady state availabi-lity modeling method for multi-component equipment group based on CTMC family[J]. Systems Engineering and Electro-nics, 2018, 40 (6): 1405- 1410.
78	张帅, 糜玉林, 孙媛, 等. 基于备件短缺数的舰载机修理级别分析[J]. 电光与控制, 2015, 22 (7): 115- 119.
	ZHANG S , MI Y L , SUN Y , et al. Level of repair analysis for on expected shipboard aircraft based backorders[J]. Electronics Optics & Control, 2015, 22 (7): 115- 119.
79	王睿, 谭凯家. 定期保障策略下远航舰艇备件瞬时短缺数评估模型[J]. 系统工程与电子技术, 2017, 39 (8): 1788- 1793.
	WANG R , TAN K J . Instantaneous backorders probability evaluation model for expedition warship spare parts in periodic support strategy[J]. Systems Engineering and Electronics, 2017, 39 (8): 1788- 1793.
80	周亮, 李庆民, 王睿. K/N(G)冗余结构下随舰备件配置方案[J]. 系统工程与电子技术, 2015, 37 (12): 2785- 2790. doi: 10.3969/j.issn.1001-506X.2015.12.19
	ZHOU L , LI Q M , WANG R . Spare parts allocation with ship for K/N(G) redundant structure[J]. Systems Engineering and Electronics, 2015, 37 (12): 2785- 2790. doi: 10.3969/j.issn.1001-506X.2015.12.19
81	张汝政, 魏曙寰, 陈砚桥. 基于任务可用度模型的指数分布型备件随舰携行量计算模型[J]. 海军工程大学学报, 2011, 23 (4): 70- 73. doi: 10.3969/j.issn.1009-3486.2011.04.014
	ZHANG R Z , WEI S H , CHEN Y Q . Ship spare parts calculation model based on mission availability and exponential distribution[J]. Journal of Naval University of Engineering, 2011, 23 (4): 70- 73. doi: 10.3969/j.issn.1009-3486.2011.04.014
82	王睿, 雷红伟, 彭英武. 战时任务条件下舰艇装备多级备件优化[J]. 上海交通大学学报, 2013, 47 (3): 398- 403.
	WANG R , LEI H W , PENG Y W . Optimization of warship spare parts in the scenario of wartime mission[J]. Journal of Shanghai Jiao Tong University, 2013, 47 (3): 398- 403.
83	RUAN M Z , WANG R , KONG Q F . Mission-oriented configuration model of aircraft carrying spares and dynamic optimization policy[J]. Transactions of Nanjing University of Aeronautics and Astronautics, 2016, 33 (5): 626- 632.
84	RUAN M Z , LI H , WANG J L . Mission-oriented dynamic optimization model of carrying spares for warship redundant system[J]. Journal of Systems Engineering and Electronics, 2018, 29 (3): 539- 548. doi: 10.21629/JSEE.2018.03.11
85	曹文斌, 胡起伟, 苏续军. 随机共因失效条件下的多阶段任务成功概率评估研究[J]. 兵工学报, 2017, 38 (4): 766- 775. doi: 10.3969/j.issn.1000-1093.2017.04.019
	CAO W B , HU Q W , SU X J . Research on phased-mission success probability assessment under random common cause failures[J]. Acta Armamentarii, 2017, 38 (4): 766- 775. doi: 10.3969/j.issn.1000-1093.2017.04.019
86	许双伟, 刘兵, 朱安石. 保障资源约束下的装备多阶段作战任务成功性仿真评估[J]. 兵器装备工程学报, 2018, 39 (6): 114- 116. doi: 10.11809/bqzbgcxb2018.06.024
	XU S W , LIU B , ZHU A S . Simulation method for evaluating equipment multi-phase combat mission success under constrained support resource[J]. Journal of Weapon Equipment Engineering, 2018, 39 (6): 114- 116. doi: 10.11809/bqzbgcxb2018.06.024
87	崔谱龙, 叶华平, 闫华. 多阶段任务系统备件携行量研究方法综述[J]. 兵器装备工程学报, 2018, 39 (1): 128- 131. doi: 10.11809/bqzbgcxb2018.01.028
	CUI P L , YE H P , YAN H . Research methods on phased-mission system spare parts carrying capacity[J]. Journal of Weapon Equipment Engineering, 2018, 39 (1): 128- 131. doi: 10.11809/bqzbgcxb2018.01.028
88	苏续军, 吕学志. 基于离散事件仿真的多状态多阶段任务系统可靠性分析[J]. 兵工学报, 2017, 38 (4): 776- 784. doi: 10.3969/j.issn.1000-1093.2017.04.020
	SU X J , LYU X Z . Reliability analysis of phased-mission system with multiple states based on discrete event simulation[J]. Acta Armamentarii, 2017, 38 (4): 776- 784. doi: 10.3969/j.issn.1000-1093.2017.04.020

[1]	王占领, 庞晨, 殷加鹏, 李永祯, 王雪松. 基于极化状态配置的宽带相控阵极化控制方法[J]. 系统工程与电子技术, 2022, 44(3): 795-801.
[2]	邢文革, 周传睿, 周程. 相控阵雷达探通一体化关键技术研究[J]. 系统工程与电子技术, 2022, 44(10): 3053-3058.
[3]	刘傲, 周正, 李双明. 基于优化序列提取的相控阵雷达识别方法[J]. 系统工程与电子技术, 2021, 43(3): 656-665.
[4]	李纪三, 蔡文彬, 耿利祥, 刘溶, 任渊. 旋转相控阵雷达变数据率目标跟踪算法[J]. 系统工程与电子技术, 2021, 43(3): 676-683.
[5]	陈威, 张吉建, 谢文冲, 王永良. 机载相控阵雷达灵巧干扰信号模型及抑制方法研究0[J]. 系统工程与电子技术, 2021, 43(2): 343-350.
[6]	廖志忠, 王琪. 雷达导引头指向误差对导弹制导的影响与对策[J]. 系统工程与电子技术, 2021, 43(2): 519-525.
[7]	林名驰, 钟强晖, 李大伟. 不可修复产品的组合维修和备件供应策略[J]. 系统工程与电子技术, 2020, 42(6): 1417-1423.
[8]	张璘, 姜义成. 基于速度合成孔径雷达的海面舰船动目标成像方法[J]. 系统工程与电子技术, 2020, 42(1): 45-51.
[9]	夏亮, 杨江平, 常春贺, 王安安. 大型相控阵雷达软件系统安全性研究[J]. 系统工程与电子技术, 2019, 41(8): 1755-1762.
[10]	程天昊, 王布宏, 蔡斌, 李夏, 刘帅琦. 二维混合MIMO相控阵雷达的嵌套阵列结构设计[J]. 系统工程与电子技术, 2019, 41(3): 541-548.
[11]	李波, 周静杨, 高晓光. 基于拍卖算法的相控阵雷达任务调度方法[J]. 系统工程与电子技术, 2018, 40(8): 1736-1742.
[12]	姚运志, 孟晨, 王成, 李宝晨. 基于聚合算法的失效相关多部件系统维修策略优化[J]. 系统工程与电子技术, 2018, 40(2): 482-488.
[13]	张浩为, 谢军伟, 张昭建, 宗彬锋, 盛川. 基于混合遗传-粒子群算法的相控阵雷达调度方法[J]. 系统工程与电子技术, 2017, 39(9): 1985-1991.
[14]	蒋伟, 盛文, 杨莉, 范云龙. 视情维修条件下相控阵雷达备件优化配置[J]. 系统工程与电子技术, 2017, 39(9): 2052-2057.
[15]	胡子军, 翟海涛. 基于任务驱动的机载相控阵雷达TAS调度算法[J]. 系统工程与电子技术, 2017, 39(3): 536-541.