系统可靠度约束下的备件配置优化

doi:10.3969/j.issn.1001-506X.2021.01.35

系统工程与电子技术 ›› 2021, Vol. 43 ›› Issue (1): 279-284.doi: 10.3969/j.issn.1001-506X.2021.01.35

• 可靠性 • 上一篇

系统可靠度约束下的备件配置优化

王成¹(), 许建新²(), 李连玉³(), 王红军⁴(), 张振明²()

1. 西安航空学院机械工程学院, 陕西西安 710077
2. 西北工业大学机电学院, 陕西西安 710072
3. 航空工业成都飞机工业(集团)有限责任公司, 四川成都 610092
4. 北京信息科技大学现代测控技术教育部重点实验室, 北京 100192

收稿日期:2020-03-18 出版日期:2020-12-25 发布日期:2020-12-30
作者简介:王成(1984-),男,讲师,博士,主要研究方向为装备故障诊断与维修保障、面向制造领域的知识工程。E-mail:wangc@xaau.edu.cn|许建新(1968-),男,副教授,博士,主要研究方向为装备健康管理、智能制造。E-mail:xujx@nwpu.edu.cn|李连玉(1986-),男,高级工程师,硕士,主要研究方向为设备智能维护。E-mail:lilianyu8866@126.com|王红军(1966-),女,教授,博士,主要研究方向为智能制造与机器人、机电系统监控监测及故障诊断。E-mail:wanghongjun@bistu.edu.cn|张振明(1967-),男,教授,博士,主要研究方向为装备健康管理、智能制造。E-mail:zhangzm@nwpu.edu.cn
基金资助:
国家自然科学基金(51975058);国家科技重大专项(2015ZX04001002)

Optimization of spare parts allocation under the constraint of system reliability

Cheng WANG¹(), Jianxin XU²(), Lianyu LI³(), Hongjun WANG⁴(), Zhenming ZHANG²()

1. School of Mechanical Engineering, Xi'an Aeronautical University, Xi'an 710077, China
2. School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, China
3. AVIC Chengdu Aircraft Industrial (Group) Co., Ltd., Chengdu 610092, China
4. Key Laboratory of Modern Measurement and Control Technology, Ministry of Education

Received:2020-03-18 Online:2020-12-25 Published:2020-12-30

摘要/Abstract

摘要：

备件的配置优化对于系统可靠性的保障和维护成本的降低具有重要的作用。为了保障系统的长期稳定经济运行,构建了系统可靠性模型和备件配置模型,以系统可靠度阈值和任务运行时长为约束条件,采用成本效益重要度对备件配置模型进行优化,寻求以备件配置成本最低为目标的备件配置方案。当系统可靠度下降到预设阈值时,计算系统各组件的成本效益重要度,选择成本效益重要度最大的组件进行备件,如此进行迭代,直到完成运行任务,形成最优的备件配置方案。最后,以数控机床主轴系统伺服驱动装置为例验证了该方法的可行性。

关键词: 串联系统, 系统可靠度, 备件配置, 成本效益重要度, 边际效应

Abstract:

The optimization of spare parts allocation plays an important role in ensuring system reliability and reducing maintenance cost. In order to ensure the long-term stability of the economic operation of the system, the system reliability model and the spare parts allocation model are constructed. Under the constraints of system reliability threshold and task running time, the spare parts allocation model is optimized using the cost-benefit importance, which can seek the spare parts allocation plan with the lowest cost. When the system reliability drops to a preset threshold, the cost-benefit importance of each component is calculated, the component with the highest cost-benefit importance is selected to allocate spare part, and then iterate until the operation task is completed to form an optimal spare parts allocation plan. Finally, the feasibility of the proposed method is verified by taking the servo driving device for spindle system of numerical control machine tool as an example.

Key words: series system, system reliability, spare parts allocation, cost-benefit importance, marginal utility

中图分类号:

TH17

王成, 许建新, 李连玉, 王红军, 张振明. 系统可靠度约束下的备件配置优化[J]. 系统工程与电子技术, 2021, 43(1): 279-284.

Cheng WANG, Jianxin XU, Lianyu LI, Hongjun WANG, Zhenming ZHANG. Optimization of spare parts allocation under the constraint of system reliability[J]. Systems Engineering and Electronics, 2021, 43(1): 279-284.

图/表 4

图1

表1

表2

图2

参考文献 20

1	GUO L H , WANG Y , KONG D D , et al. Decisions on spare parts allocation for repairable isolated system with dependent backorders[J]. Computers & Industrial Engineering, 2019, 127, 8- 20.
2	张怀强, 卢远超, 王孟. 基于故障率的舰艇维修备品备件优化配置[J]. 火力与指挥控制, 2019, 44 (5): 17- 21.
	ZHANG H Q , LU Y C , WANG M . Research on optimal allocation of spare parts for ship maintenance based on failure rate[J]. Fire Control & Command Control, 2019, 44 (5): 17- 21.
3	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.
	ZHANG Z H , YING X Y , FEI G Y . Series system spares fill rate allocation and optimization[J]. System Engineering-Theory & Practice, 2015, 35 (11): 2987- 2992.
4	王晓波, 曹小娟, 寇小明, 等. 鱼雷维修备件初始配置方案[J]. 水下无人系统学报, 2017, 25 (5): 464- 469.
	WANG X B , CAO X J , KOU X M , et al. Initial allocation scheme of spare parts for torpedo[J]. Journal of Unmanned Undersea Systems, 2017, 25 (5): 464- 469.
5	JIN T D , TABOADA H , ESPIRITU J , et al. Allocation of reliability-redundancy and spares inventory under Poisson fleet expansion[J]. ⅡSE Transactions, 2017, 49 (7): 737- 751.
6	WANG H D , LI D , YI H . Optimal allocation of fleet's spare parts for system reliability[J]. Journal of Shanghai Jiaotong University (Science), 2017, 22 (6): 664- 671.
7	DREYFUSS M , GIAT Y . Optimal allocation of spares to maximize the window fill rate in a two-echelon exchangeable-item repair system[J]. European Journal of Operational Research, 2018, 270 (3): 1053- 1062.
8	GUO L H , WANG Y , KONG D D , et al. Decisions on spare parts allocation for repairable isolated system with dependent backorders[J]. Computers & Industrial Engineering, 2019, 127, 8- 20.
9	邵松世, 阮旻智, 张志华. 基于库存状态的备件初始配置及采购优化模型[J]. 系统仿真学报, 2020, 32 (3): 509- 517.
	SHAO S S , RUAN M Z , ZHANG Z H . Model of initial spares configuration and ordering policy optimization based on inventory state[J]. Journal of System Simulation, 2020, 32 (3): 509- 517.
10	GJB 4355-2002.备件供应规划要求[S].北京:中国人民解放军总装备部, 2003.
	GJB 4355-2002. Spare parts supply planning requirements[S]. Beijing: PLA General Armament Department, 2003.
11	程海龙, 康锐, 肖波平, 等. 备件满足率约束下的备件模型[J]. 系统工程与电子技术, 2007, 29 (8): 1314- 1316.
	CHENG H L , KANG R , XIAO B P , et al. Spare model under the constraint of spare sufficiency[J]. Systems Engineering and Electronics, 2007, 29 (8): 1314- 1316.
12	阮旻智, 李庆民, 彭英武, 等. 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.
	RUAN M Z , LI Q M , PENG Y W , et al. Model of spare part fill rate for systems of various structures and optimization method[J]. Systems Engineering and Electronics, 2011, 33 (8): 1799- 1803.
13	程海龙, 康锐, 龙军, 等. 基于边际效应的备件保障概率库存优化模型[J]. 先进制造与管理, 2008, 27 (11): 37- 47.
	CHENG H L , KANG R , LONG J , et al. Optimization model on support probability of spare part inventory based on margin utility[J]. Advanced Manufacture and Management, 2008, 27 (11): 37- 47.
14	KUO W , ZHU X Y . Importance measures in reliability, risk, and optimization: principles and applications[M]. Chichester: Wiley Publishing, 2012.
15	WU S M , CHEN Y , WU Q T , et al. Linking component importance to optimization of preventive maintenance policy[J]. Reliability Engineering & System Safety, 2016, 146, 26- 32.
16	NGUYEN K A , DO P , GRALL A . Joint predictive maintenance and inventory strategy for multi-component systems using birnbaum's structural importance[J]. Reliability Engineering & System Safety, 2017, 168, 249- 261.
17	WANG C , XU J X , WANG H J , et al. A criticality importance-based spare ordering policy for multi-component degraded systems[J]. Eksploatacja i Niezawodnosc-Maintenance and Reliability, 2018, 20 (4): 662- 670.
18	MENG F C . Some further results on ranking the importance of system components[J]. Reliability Engineering & System Safety, 1995, 47 (2): 97- 101.
19	ELSAYED E A . Reliability engineering[M]. Boston: Addison Wesley, 1996.
20	BIRNBAUM Z W . On the importance of different components in a multicomponent system. In multivariate analysis[M]. San Diego: Academic Press, 1969.

组件编号i	组件名称	型号	品牌	年故障率λ_i	成本/万元
1	伺服控制板	6SN1118-0DH23-0AA1	西门子	0.413	1.1
2	功率模块	6SN1123-1AA00-0KA1	西门子	0.213	0.6
3	伺服电机	1FT6105-8SF71-3AG0	西门子	0.125	3.0
4	编码器	ROD486	海德汉	0.175	0.8

更换次数	系统可靠度	更换时刻	成本效益重要度(由大到小)	提升后系统可靠度	需备件的组件编号
1	0.595 4	0.56	I_C¹=0.393 9, I_C²=0.351 6, I_C⁴=0.214 3, I_C³=0.040 2	0.750 3	1
2	0.595 2	0.81	I_C²=0.491 5, I_C⁴=0.298 1, I_C¹=0.154 8, I_C³=0.055 6	0.707 3	2
3	0.598 7	0.99	I_C⁴=0.452 8, I_C¹=0.338 3, I_C²=0.124 7, I_C³=0.084 1	0.712 0	4
4	0.597 1	1.18	I_C¹=0.533 6, I_C²=0.274 9, I_C³=0.106 6, I_C⁴=0.085 0	0.771 4	1
5	0.595 2	1.46	I_C²=0.464 5, I_C¹=0.209 2, I_C⁴=0.201 1, I_C³=0.125 3	0.683 6	2
6	0.594 9	1.61	I_C¹=0.394 0, I_C⁴=0.319 5, I_C³=0.165 7, I_C²=0.120 7	0.710 6	1
7	0.595 9	1.80	I_C⁴=0.401 7, I_C²=0.264 2, I_C³=0.177 5, I_C¹=0.156 6	0.686 7	4
8	0.597 6	1.95	I_C²=0.411 4, I_C¹=0.307 5, I_C³=0.206 5, I_C⁴=0.074 6	0.663 4	2
9	0.599 1	2.06	I_C¹=0.487 0, I_C³=0.256 8, I_C⁴=0.152 6, I_C²=0.103 6	0.721 5	1
10	0.599 5	2.26	I_C²=0.280 5, I_C³=0.268 2, I_C⁴=0.258 3, I_C¹=0.193 0	0.640 4	2
11	0.594 7	2.34	I_C⁴=0.328 4, I_C³=0.300 2, I_C¹=0.295 4, I_C²=0.075 9	0.653 7	4
12	0.595 8	2.44	I_C¹=0.428 4, I_C³=0.329 7, I_C²=0.180 7, I_C⁴=0.061 2	0.697 1	1
13	0.595 6	2.61	I_C²=0.335 8, I_C³=0.334 7, I_C¹=0.172 1, I_C⁴=0.157 4	0.641 7	2
14	0.595 8	2.69	I_C³=0.392 2, I_C¹=0.291 1, I_C⁴=0.232 4, I_C²=0.084 3	0.834 0	3

[1]	徐孙庆, 耿俊豹, 魏曙寰, 刘凌刚. 考虑相关性的串联系统动态机会成组维修优化[J]. 系统工程与电子技术, 2018, 40(6): 1411-1416.
[2]	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.
[3]	蔡芝明, 金家善, 陈砚桥. 基于关键性的备件库存配置优化模型[J]. 系统工程与电子技术, 2017, 39(8): 1765-1773.
[4]	陈砚桥, 蔡芝明, 金家善, 孙立杰, 曹凯. 多指标约束下考虑保障效能的装备多层级备件携行方案优化[J]. 系统工程与电子技术, 2017, 39(7): 1532-1541.
[5]	蔡芝明, 金家善, 陈砚桥, 倪何, 魏曙寰. 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, 2015, 37(4): 838-844.
[6]	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.
[7]	阮旻智，李庆民，彭英武，葛恩顺，黄敖林. 任意结构系统的备件满足率模型及优化方法[J]. Journal of Systems Engineering and Electronics, 2011, 33(8): 1799-1803.

系统可靠度约束下的备件配置优化

Optimization of spare parts allocation under the constraint of system reliability

RichHTML

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

图/表 4

参考文献 20

相关文章 7

编辑推荐

Metrics

本文评价