Opportunistic Maintenance Modeling for Series-Parallel Systems with Buffers Based on Variable Time Windows

doi:10.16183/j.cnki.jsjtu.2024.476

Abstract

Abstract:

An opportunistic maintenance decision model based on variable time windows is proposed of serial-parallel systems with buffers in batch production environments, aiming to improve system operation efficiency and reduce downtime costs caused by equipment failures. Considering the dynamic variation of equipment failure rates across batches, an estimation model for the average work-in-progress quantity in buffers under different batches is established via the decomposition method, capturing the differential buffering effects across equipment. Based on this, a dynamic opportunistic maintenance strategy is developed by integrating the dynamic interaction mechanism of equipment failure rates, capacity allocation ratios, and buffer states on maintenance time window. The elasticity of time window is adjusted through a Sigmoid function to optimize maintenance scheduling. The case study demonstrates that compared with traditional fixed time window models, the proposed model effectively increases the probability of normal system operation and reduces total maintenance costs.

Key words: buffer, series-parallel system, opportunistic maintenance, preventive maintenance, time window

CLC Number:

TP207

MU Yuhan, RUAN Kan, ZHOU Xiaojun. Opportunistic Maintenance Modeling for Series-Parallel Systems with Buffers Based on Variable Time Windows[J]. Journal of Shanghai Jiao Tong University, 2026, 60(5): 776-785.

Figures/Tables 12

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i,j	η_i_,_j	β_i_,_j	θ_i_,_j	U_i_,_j	t^pm/h	R_i_,_j/h	C^p_i,j/元	${C}_{i,j}^{cm}$/元	c^d/元
1,1	78	3.01	0.06	4	1	1.59	5037.5	410.7	4257
1,2	75	2.27	0.04	10	1	0.58	5215.0	452.7	4257
1,3	91	3.27	0.06	6	1	0.81	4150.0	509.1	4257
2,1	96	2.98	0.04	20	1	1.01	3685.0	367.8	4257
3,1	91	3.77	0.09	8	1	0.81	3015.0	508.2	4257
3,2	105	3.12	0.06	12	1	0.88	3327.5	540.9	4257
4,1	67	2.87	0.07	10	1	0.68	5190.0	407.1	4257
4,2	113	2.78	0.06	10	1	0.72	3510.0	487.5	4257
5,1	65	2.41	0.05	5	1	0.79	3115.0	421.5	4257
5,2	66	2.21	0.06	3	1	0.93	3262.5	378.0	4257
5,3	60	2.72	0.02	7	1	0.74	4462.5	547.8	4257
5,4	56	2.27	0.03	5	1	1.33	5347.5	531.9	4257

w₁	C_sys/万元			w₂	C_sys/万元
w₁	策略1	策略2	策略3	w₂	策略1	策略2	策略3
0.2	110.13	110.52	110.26	0.2	48.97	49.06	49.03
0.4	100.18	100.53	100.31	0.4	5.96	59.78	59.78
0.5	96.40	96.80	96.80	0.6	68.51	69.06	68.94
0.6	93.92	93.93	93.93	0.8	78.28	79.01	79.01
1.0	87.88	88.79	88.28	1.0	87.88	88.79	88.28
1.5	82.84	83.62	83.47	1.2	98.11	98.75	98.32
2.0	79.11	79.60	79.14	1.4	107.81	108.41	107.97
2.5	76.03	76.51	76.07	1.6	117.51	118.58	118.06
5.0	68.87	69.27	69.07	1.8	127.68	128.60	127.91
10.0	65.43	65.43	65.43	2.0	137.31	136.51	136.51

w₃	C_sys/万元			w₄	C_sys/万元
w₃	策略1	策略2	策略3	w₄	策略1	策略2	策略3
0.4	76.62	76.67	76.63	0.2	71.54	72.38	72.38
0.6	81.32	81.49	81.35	0.5	77.26	77.26	77.26
0.8	83.79	83.79	83.79	0.8	83.50	84.26	84.15
1.0	87.88	88.79	88.28	1.0	87.88	88.79	88.28
1.2	91.30	92.21	92.00	1.2	92.79	93.38	92.99
1.5	98.91	99.06	98.91	1.4	96.23	96.23	96.23
1.8	103.10	103.70	103.40	1.6	100.86	101.33	101.23
2.0	105.39	105.54	105.40	1.8	105.48	105.50	105.50