Maintenance Modeling of Remanufacturing Systems in Variable Working Condition with Coupling of Production Scheduling and Reliability

doi:10.16183/j.cnki.jsjtu.2023.113

Abstract

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

CLC Number:

TP207

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.

Figures/Tables 11

Fig.1

Fig.2

Tab.1

Production capacity of equipment

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

Tab.1

Tab.2

Tab.3

Maintenance related parameters of equipment

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)

Tab.3

Tab.4

Production margins, recovery costs, and recovery volumes of products

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)

Tab.4

Tab.5

Tab.6

Tab.7

Fig.3

Fig.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