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

Abstract

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

CLC Number:

TH17

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.

Figures/Tables 4

Fig.1

Table 1

Table 2

Fig.2

References 20

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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]	ZHANG Xinbo, WANG Naichao, XIAO Boping, MA Lin给出了综合考虑系统结构、库存备件量和故障件维修周转等因素影响下的系统可用度计算模型。将由并串混联系统和备件组成的广义系统按功能划分为工作系统与库存系统两个子系统, 通过引入备件平均到达率反映库存系统对工作系统的影响, 并据此分别建立备件充足与缺货时的工作系统状态转移关系。利用二项分布表征期望备件短缺数的概率分布函数以计算库存系统备件的缺货概率, 进而根据全概率公式计算得到系统可用度。示例表明:所提模型针对单部件串联系统所得结果比已有模型更为精确, 其次, 在库存备件量及维修周转时间的影响下, 多部件子系统串联时并不比单部件串联时的可用度高, 且可用度曲线随着库存量的增加并不是严格单调递增的凸曲线。. Availability modeling of parallel-series system under influence of spare parts and maintenance turnover [J]. Systems Engineering and Electronics, 2019, 41(1): 223-228.
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Optimization of spare parts allocation under the constraint of system reliability

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