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摘要:
随着使用环境的变化，研制阶段制定的初始备件方案常常无法满足装备部署部队后的保障要求。针对该情况，引入了相似系统理论（SST）和Bayes方法，根据相似系统理论初步确定备件的初始失效率，依据装备在使用中的寿命分布类型，取出对应的共轭先验分布，利用最大熵方法求取超参数，运用Bayes理论得到后验失效率，综合初始失效率和后验失效率确定初始备件需求。算例结果表明该方法满足实际应用要求，是初始备件需求预测可靠而有效的方法。
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关键词:
- 初始备件 /
- 相似系统理论(SST) /
- Bayes /
- 需求 /
- 失效率
Abstract:With the changes of use environment, the initial spares plan cannot meet the equipment support requirement when the equipment is disposed. Aimed at this situation, similarity system theory (SST) and Bayes method are introduced. According to the similarity system theory, the initial failure rate of spare parts is preliminarily determined. Then, the corresponding conjugate prior distribution is taken out based on the life distribution type in the aviation equipment which is in use. The maximum entropy method is used to calculate the maximum parameters and the Bayes theory is used to obtain posterior failure rate. Finally, the initial failure rate and posterior failure rate are combined to determine the initial demand for aviation spares. Numerical example results show that the method satisfies the requirement of practical application, which is a reliable and effective demand prediction method for the initial spares.
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Key words:
- initial spares /
- similarity system theory (SST) /
- Bayes /
- requirement /
- failure rate
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表 1 常用的先验分布及其共轭分布
Table 1. Commonly-used prior distribution and its conjugate distribution
先验分布(参数) 共轭分布 Binomial(π) Beta Exponential(λ) Gamma Gamma(λ) Gamma Multinomial(π) Dirichlet Multivariate Normal(μ，Σ) Normal Inverse Wishart Negative Binomial(π) Beta Normal(μ，σ已知) Normal Normal(σ，μ已知) Inverse Gamma Normal(μ，σ) Normal Inverse Gamma Pareto(β) Gamma Poisson(λ) Gamma Uniform(0, β) Pareto 
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表 2 SSRU1备件相似性分析
Table 2. Spare parts similarity analysis of SSRU1
失效率影响因素 使用环境 使用强度 使命任务 结构 材料 功能 保障人员 保障计划 特征权数β1 0.2 0.1 0.15 0.1 0.1 0.15 0.1 0.1 相似元相似度q(ui)s 0.98 0.91 0.95 0.94 0.85 0.95 0.88 0.91 注：失效率相似度为0.93。
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表 3 统计数据及预计值
Table 3. Statistical data and expected value
设备名称 老产品的M/h 相似度 预计的M/h λ/10-4 备注 SSRU1 1 192.8 0.93 1 800 5.56 选用新型号，可靠性大大提高 SSRU2 6 262 0.92 6 262 1.60 选用老产品 SSRU3 2 087.3 0.86 2 087.3 4.79 选用老产品 SSRU4 863.7 0.89 863.7 11.6 选用老产品 SSRU5 6 000 0.91 6 500 1.54 在老产品的基础上，局部改进 SSRU6 15 530 0.93 15 530 0.644 选用老产品 SSRU7 6 520 0.85 7 000 1.43 在老产品的基础上，局部改进 SSRU8 1 578.2 0.88 2 400 4.17 选用新型号，可靠性大大提高 SSRU9 3 400 0.94 3 400 2.94 选用老产品 LLRU 253.3 292.05 3.42
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[1] U.S.Department of Defense.Defense and program-unique specifications format and content:MIL-STD-961E(1)[S].Washington, D.C.:U.S.Department of Defense, 2008:130-135. [2] 夏秀峰, 董彦军.基于改进马尔科夫模型的航空备件需求预测[J].兵工自动化, 2013, 32(11):39-43. doi: 10.7690/bgzdh.2013.11.010XIA X F, DONG Y J.Demand prediction for spare parts of aviation based on improved Markov model[J].Ordnance Industry Automation, 2013, 32(11):39-43(in Chinese). doi: 10.7690/bgzdh.2013.11.010 [3] 徐宗昌, 张永强, 呼凯凯, 等.备件携行量研究方法综述[J].航空学报, 2016, 20(4):944-948. http://d.old.wanfangdata.com.cn/Periodical/hkxb201609001XU Z C, ZHANG Y Q, HU K K, et al.Survey on amount configuration methods of carrying spare parts[J].Acta Aeronautica et Astronautica Sinica, 2016, 20(4):944-948(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/hkxb201609001 [4] 徐飞, 杨士英, 魏祥生, 等.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):610-615. http://industry.wanfangdata.com.cn/dl/Export/Papers?ids=ldkxyjs201506009&type=excelXU F, YANG S Y, WEI X S, et al.The forecast of radar spare part consumption based on the improved gray forecasting model[J].Radar Science and Technology, 2015, 13(6):610-615(in Chinese). http://industry.wanfangdata.com.cn/dl/Export/Papers?ids=ldkxyjs201506009&type=excel [5] 林国宝, 黄照协, 王齐.基于保障概率的初始备件需求预测方法研究[J].计算机与数字工程, 2015, 43(2):249-251. http://d.wanfangdata.com.cn/Periodical_jsjyszgc201502023.aspxLIN G B, HUANG Z X, WANG Q.Initial spare parts forecast method based on supportability[J].Computer & Digital Engineering, 2015, 43(2):249-251(in Chinese). http://d.wanfangdata.com.cn/Periodical_jsjyszgc201502023.aspx [6] 周伟, 郭波, 张涛.两级供应关系装备常用备件初始配置模型[J].系统工程与电子技术, 2011, 33(1):90-93. http://industry.wanfangdata.com.cn/dl/Detail/Periodical?id=Periodical_xtgcydzjs201101018ZHOU W, GUO B, ZHANG T.Initial configuration model for common equipment parts based on two class supply relationship[J].Systems Engineering and Electronics, 2011, 33(1):90-93(in Chinese). http://industry.wanfangdata.com.cn/dl/Detail/Periodical?id=Periodical_xtgcydzjs201101018 [7] 肖波平, 康锐, 王乃超.民机初始备件方案的优化[J].北京航空航天大学学报, 2010, 36(9):1057-1061. http://www.cqvip.com/QK/90750X/201009/35429867.htmlXIAO B P, KANG R, WANG N C.Optimal of initial spares scenario in civil aviation[J].Journal of Beijing University of Aeronautic and Astronautic, 2010, 36(9):1057-1061(in Chinese). http://www.cqvip.com/QK/90750X/201009/35429867.html [8] 谢君, 王红卫.基于更新过程的多阶段备件需求模型[J].海军工程大学学报, 2009, 21(1):1-4. https://www.wenkuxiazai.com/doc/680b3ad333d4b14e85246880-2.htmlXIE J, WANG H W.Calculation models of spare demand for multi-period inventory system based on renewal process[J].Journal of Naval University of Engineering, 2009, 21(1):1-4(in Chinese). https://www.wenkuxiazai.com/doc/680b3ad333d4b14e85246880-2.html [9] BLANCHARD B S. Logistics engineering and management[M].6th ed.Upper Saddle River:Prentice Hall, 2004:36-96. [10] 中国人民解放军总装备部. 备件供应规划要求: GJB 4355-2002[S]. 北京: 中国人民解放军总装备部, 2003.PLA General Armament Department.Spares provisioning requirements:GJB 4355-2002[S].Beijing:PLA General Armament Department, 2003(in Chinese). [11] ZHOU M L.Principles and practice of similarity system theory[J].International Journal of General Systems, 1994, 23(1):39-48. doi: 10.1080/03081079408908028 [12] 周美立, 王浣尘.相似系统的分析与度量[J].系统工程, 1996, 14(4):1-4. http://www.cnki.com.cn/Article/CJFDTOTAL-ZGJX606.018.htmZHOU M L, WANG H C.An analysis and measure of similar systems[J].System Engineering, 1996, 14(4):1-4(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-ZGJX606.018.htm [13] 王浣尘.可行性研究和多目标决策[M].北京:机械工业出版社, 1986:15-22.WANG H C.The feasibility study and multi-objective decision[M].Beijing:China Machine Press, 1986:15-22(in Chinese). [14] HAMADA M S, WILSON A G, REESE C S, et al.Bayesian reliability[M].Berlin:Springer, 2008:12-16. [15] 李贤平.概率论基础[M].北京:高等教育出版社, 2010:212-214.LI X P.The basic of probability theory[M].Beijing:Higher Education Press, 2010:212-214(in Chinese). -
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