生产调度与可靠性耦合的变工况再制造系统维护建模

doi:10.16183/j.cnki.jsjtu.2023.113

摘要/Abstract

摘要：

针对变工况下的多工序再制造系统,提出生产、设备衰退和系统维护之间的耦合建模方法.首先引入考虑设备可靠性的动态生产优先级并据此生成生产调度计划,进而基于变动生产计划建立设备的变工况故障率模型,在此基础上,考虑生产的动态性和设备衰退的不确定性,构建基于双生产周期优化的再制造系统动态维护决策模型.算例分析表明,该模型可有效提高系统生产净收益且相对于传统生产和维护决策方法更具优势.

关键词: 再制造系统, 预防维护, 变工况, 动态生产优先级, 耦合建模方法

Abstract:

For the multi-process remanufacturing system under variable working conditions, a modeling method considering the coupling among equipment deterioration, maintenance, and production is proposed. First, a dynamic production priority considering equipment reliability is introduced, based on which, a production scheduling plan is generated. Then, an equipment hazard rate model under variable production plan is established. On this basis, a dual-cycle dynamic maintenance decision-making method is constructed, considering the dynamic nature of production scheduling plan and the uncertainty of equipment failure. The illustrative example shows that the model can effectively improve the net profit of the system and has more advantages than traditional production and maintenance decision-making methods.

Key words: remanufacturing system, preventive maintenance, variable working condition, dynamic production priority, coupled modeling methods

中图分类号:

TP207

肖常胜, 周晓军, 祝米鑫. 生产调度与可靠性耦合的变工况再制造系统维护建模[J]. 上海交通大学学报, 2024, 58(8): 1211-1220.

XIAO Changsheng, ZHOU Xiaojun, ZHU Mixin. Maintenance Modeling of Remanufacturing Systems in Variable Working Condition with Coupling of Production Scheduling and Reliability[J]. Journal of Shanghai Jiao Tong University, 2024, 58(8): 1211-1220.

图/表 11

图1

图2

表1

设备生产能力参数

k	A_k₁/min	A_k₂/min	A_k₃/min	A_k₄/min	$W k s 0$
1	12 145	12 582	11 890		4 536
2	12 548	12 876			10 414
3	12 021	12 072	12 103		9 731
4	12 740	12 558	12 022	11 934	10 383

表1

表2

表3

设备修复相关参数

k	(b_k1, a_k1)	(b_k2, a_k2)	(b_k3, a_k3)	(b_k4, a_k4)	( $c k 1 m r$ , $c p k 1$ )/元	( $c k 2 m r$ , $c p k 2$ )/元	( $c k 3 m r$ , $c p k 3$ )/元	( $c k 4 m r$ , $c p k 4$ )/元
1	(1.008, 0.04)	(1.008, 0.03)	(1.009, 0.03)		(2 782, 1 453)	(2 977, 1 495)	(2 932, 1 525)
2	(1.012, 0.06)	(1.009, 0.03)			(3 088, 2 321)	(3 054, 2 366)
3	(1.017, 0.04)	(1.016, 0.05)	(1.014, 0.03)		(2 643, 1 943)	(3 012, 2 176)	(2 712, 1 958)
4	(1.004, 0.04)	(1.004, 0.02)	(1.003, 0.06)	(1.004, 0.03)	(4 658, 2 416)	(4 031, 2 643)	(4 872, 2 298)	(4 652, 2 511)

表3

表4

产品生产利润、回收成本和回收量

i	$P i p r$ /元	$c i p c$ /元	r_i
1	281	318	N(431, 45.32)
2	289	318	N(222, 54.12)
3	312	329	N(318, 35.62)

表4

表5

表6

表7

图3

图4

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k	(α_k₁, β_k₁)	(α_k₂, β_k₂)	(α_k₃, β_k₃)	(α_k₄, β_k₄)	γ_k₁	γ_k₂	γ_k₃	γ_k₄
1	(1.73, 577)	(1.84, 565)	(1.78, 583)		0.76	0.78	0.68
2	(1.96, 625)	(1.99, 632)			0.83	0.85
3	(1.87, 594)	(1.88, 612)	(1.80, 601)		1.01	1.12	1.02
4	(1.85, 704)	(1.96, 691)	(1.67, 722)	(1.91, 688)	0.92	0.99	0.87	0.85

k	E₁_k/min	E₂_k/min	E₃_k/min
1	68
2	46	54
3	61		71
4	55	63	69

i	t=0 h	t=224 h	t=448 h	t=672 h	t=896 h	t=1 120 h	t=1 344 h
1	431	419	374	407	293	382	429
2	222	245	170	204	197	272	231
3	318	331	291	318	362	330	262

设备	维护计划
设备	t=224 h	t=448 h	t=672 h	t=896 h	t=1 120 h	t=1 344 h
(1, 1)	A		D
(1, 2)			D		A
(1, 3)			D		D
(2, 1)		D	A		D
(2, 2)	A			A		D
(3, 1)		A		D		A
(3, 2)		D		A		D
(3, 3)		D		D		D
(4, 1)		D		D		D
(4, 2)	A			A		D
(4, 3)		D			A
(4, 4)		D		A		A