基于优先权与双可变时间窗的大型热轧生产线机会维护建模

doi:10.16183/j.cnki.jsjtu.2023.173

摘要/Abstract

摘要：

为解决大型热轧生产线日常动态维护和支撑辊定期更换带来的维护需求差异问题,综合考虑长距离条件下的维护资源及停机时间限制,引入维护优先权规则识别部件的组合维护判断次序,构建双可变时间窗规则辨别部件是否维护并区分维护需求,进而建立系统整体动态机会维护模型.实例分析表明,该模型可有效解决维护资源和停机时间限制下大型热轧生产线的差异化维护调度问题,且比传统基于时间窗的模型更具成本优势.

关键词: 大型热轧生产线, 机会维护, 预防维护, 维护优先权, 可变时间窗

Abstract:

To solve the problem of differential maintenance demand caused by daily dynamic maintenance and periodic replacement of support rolls in large-scale hot rolling lines, a maintenance priority rule is introduced to identify maintenance judgment order of components under long distance condition and downtime constraint. A dual variable time window rule is constructed to identify whether components should be maintained and distinguish maintenance demand, and then a dynamic opportunity maintenance model is established for the system. The case study shows that the model can effectively solve the problem of differential maintenance scheduling for large-scale hot rolling lines under the constraints of maintenance resources and downtime, and has more cost advantages than the traditional time-window-based model.

Key words: large-scale hot rolling line, opportunistic maintenance, preventive maintenance, maintenance priority, variable time window

中图分类号:

TP207

毛雯欣, 周晓军. 基于优先权与双可变时间窗的大型热轧生产线机会维护建模[J]. 上海交通大学学报, 2024, 58(8): 1221-1230.

MAO Wenxin, ZHOU Xiaojun. Opportunistic Maintenance Modeling of Large-Scale Hot Rolling Production Line Based on Maintenance Priority and Dual Variable Time Window[J]. Journal of Shanghai Jiao Tong University, 2024, 58(8): 1221-1230.

图/表 10

图1

图2

图3

表1

表2

部件维护参数及故障参数

i	j	α_i,j	β_i,j	θ_i,j	$c i, j M R$ /元	$c i, j P M$ /元	c^D/元	$τ i, j P M$ /h
1	1	1.91	190.30	0.99	19 955.75	10 022.30	63 926.94	0.26
1	2	2.11	572.81	0.99	14 660.86	7 338.08	63 926.94	0.29
1	3	3.19	262.87	0.99	19 628.20	9 834.12	63 926.94	0.34
2	1	2.15	190.81	0.97	21 364.43	10 778.73	63 926.94	0.23
2	2	2.89	336.95	0.97	24 905.46	12 551.00	63 926.94	0.30
2	3	2.38	298.07	0.97	11 100.67	5 552.24	63 926.94	0.30
3	1	2.05	323.81	0.98	19 687.53	9 845.41	63 926.94	0.34
3	2	1.40	218.42	0.98	21 586.06	10 854.72	63 926.94	0.33
3	3	2.42	226.00	0.97	16 004.07	8 068.35	63 926.94	0.23
3	4	2.34	189.25	0.98	18 473.28	8 274.24	63 926.94	0.29
4	1	2.44	289.29	0.98	11 235.69	8 163.95	63 926.94	0.26
4	2	2.91	450.77	0.96	7 524.52	3 765.91	63 926.94	0.24
4	3	1.96	360.03	0.97	23 924.34	11 962.74	63 926.94	0.21
4	4	1.65	240.31	0.98	24 208.23	12 198.36	63 926.94	0.29
4	5	2.04	352.06	0.98	11 982.24	6 026.53	63 926.94	0.23
5	2	2.42	253.50	0.96	10 127.18	5 139.05	63 926.94	0.34
5	3	2.18	277.35	0.99	15 932.36	8 253.69	63 926.94	0.32
5	4	2.08	244.23	0.96	20 118.95	10 129.69	63 926.94	0.25
6	1	2.78	190.87	0.99	15 752.26	7 950.42	63 926.94	0.30
6	2	1.90	356.04	0.99	10 034.88	5 073.03	63 926.94	0.36
6	3	3.91	239.46	0.97	8 474.86	4 303.24	63 926.94	0.27

表2

表3

表4

不同策略下的结果对比

策略	$T 1 W$ /h	$T 2 W$ /h	C/元	$C s y s P M$ /元	$C s y s M R$ /元	$C s y s D$ /元
1	60	50	11 906 720.0	1 804 806.52	5 237 031.37	4 864 882.08
2	30	70	12 245 530.1	1 752 787.59	5 383 183.74	5 109 558.77
3	120	120	12 331 983.3	1 805 587.98	5 502 394.46	5 024 000.91

表4

表5

表6

图4

参考文献 20

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i	X_i/m
1	36
2	48
3	147.3
4	251
5	338.7
6	517

i	j	参与系统维护的时间/h
i	j	558	602	604	615	720	750	800	837	845	904	915
1	1				⚪				⚪
1	2					⚪
1	3					⚪
2	1	⚪				⚪						⚪
2	2	⚪								⚪
2	3					⚪
3	1						⚪
3	2
3	3				⚪				⚪
3	4						⚪					⚪
4	1					⚪
4	2
4	3					⚪
4	4					⚪
4	5										⚪
5	2			⚪
5	3			⚪
5	4							⚪
6	1					⚪					⚪
6	2		⚪
6	3		⚪					⚪

r^D	C/元
r^D	策略1	策略2	策略3
0.5	9 620 459.5	9 705 047.2	9 809 341.9
0.8	11 137 170.5	11 253 346.3	13 177 470.9
0.9	11 645 926.6	11 758 861.0	11 857 452.1
1.1	12 450 669.2	12 649 852.0	12 649 851.9
1.2	12 836 969.8	13 147 182.0	13 177 470.9
1.3	13 182 547.6	13 467 639.1	13 467 639.1
1.4	13 692 836.8	13 982 316.3	14 003 082.2
1.5	13 974 578.3	14 177 837.0	14 221 703.6
1.6	14 529 246.8	14 712 756.4	14 740 627.2
1.7	14 872 695.2	15 225 633.6	15 260 733.4
1.8	15 225 633.5	15 472 867.0	15 482 514.8
1.9	15 668 527.0	15 928 027.0	16 020 137.9
2.0	16 004 840.5	16 334 781.7	16 337 258.5
3.0	18 962 605.2	19 118 940.2	19 430 157.4
4.0	21 386 509.9	21 932 994.6	22 347 742.4

r^PM	C/元			r^MR	C/元
r^PM	策略1	策略2	策略3	r^MR	策略1	策略2	策略3
0.4	10 842 663	11 058 172	11 076 813	0.4	7 617 885	7 675 420	7 773 159
0.6	11 092 007	11 218 433	11 289 565	0.6	9 362 511	9 483 791	9 532 783
0.8	11 431 720	11 585 273	11 585 273	0.8	10 756 493	10 879 263	10 896 904
1.0	11 737 294	11 900 250	11 951 963	1.0	11 906 720	12 245 530	12 331 983
1.2	11 906 720	12 245 530	12 331 983	1.2	13 240 993	13 287 997	13 501 420
1.4	12 377 192	12 434 377	12 434 377	1.4	14 353 124	14 578 590	14 631 391
1.6	12 711 406	12 832 599	12 892 816	1.6	15 347 480	15 612 128	15 612 128
1.8	12 881 166	13 030 062	13 030 062	1.8	16 355 153	16 522 962	16 634 735
2.0	13 139 298	13 348 537	13 348 537	2.0	17 233 474	17 371 955	17 602 482