考虑“修理疲劳”的系统最优不完美预防维修决策

doi:10.16381/j.cnki.issn1003-207x.2022.1364

Abstract

Abstract:

Preventive maintenance is receiving widely attention and application both in industry and academia because it can eliminate potential faults in time and effectively improve system reliability. However， with the continuous increase of maintenance numbers， repairable systems in engineering practice gradually show long-term “repair fatigue”. That is， the marginal contribution of maintenance activities to the positive impact of improving equipment life and improving system failure rate will gradually decrease. Considering the phenomenon of “repair fatigue” of equipment in engineering practice， periodical imperfect maintenance models and sequential imperfect maintenance models are established based on dynamic failure rate improvement factor and age reduction factor， and subsequently， the optimal policies of the maintenance models are optimized according to the renewal reward theorem. Numerical experiments demonstrate that ignoring the repair fatigue will lead to excessive maintenance， not only wasting maintenance resources but also delaying the ordering of spare parts. In addition， the effects of various maintenance costs on the optimal decisions of periodic imperfect maintenance strategy and sequential imperfect maintenance strategy are analyzed， providing theoretical and technical support for industrial enterprises to better schedule maintenance activities.

Key words: preventive maintenance （PM）, imperfect maintenance, repair fatigue, renewal reward theorem, adjustment factor

CLC Number:

N945

Wenjie Dong, Na Zhang, Chenchen Hua, Zhigeng Fang. Optimal Imperfect Maintenance Strategies for Repairable Systems Considering Repair Fatigue[J]. Chinese Journal of Management Science, 2025, 33(6): 151-159.

Figures/Tables 10

$N$	$T ˜ N I *$	$T N I *$	$C 1 (N, T ˜ N I *)$	$C 1 (N, T N I *)$
1	158.46	158.46	7.5595	7.5595
2	134.42	134.42	5.5631	5.5631
3	124.04	123.35	4.8263	4.8483
4	117.89	116.16	4.4449	4.5066
5	113.78	110.26	4.2153	4.3347
6	110.47	105.24	4.065	4.2613
7	107.71	100.63	3.9615	4.2559
8	105.62	95.42	3.8879	4.3042
9	104.21	90.88	3.8346	4.399
10	102.6	85.64	3.7959	4.5377
11	100.85	80.72	3.768	4.7195
12	99.95	75.64	3.7481	4.9455
13	98.49	70.48	3.7347	5.2178
14	97.44	65.53	3.7263	5.5393
15	96.51	60.66	3.722	5.914
16	95.74	55.93	3.7211	6.3467
17	94.37	51.41	3.7231	6.8432
18	93.53	47.08	3.7274	7.4105
19	92.99	43.01	3.7337	8.0568
20	91.78	39.16	3.7419	8.7919

$N$	$T ˜ N I I *$	$T N I I *$	$C 2 (N, T ˜ N I I *)$	$C 2 (N, T N I I *)$
1	158.74	158.74	7.5595	7.5595
2	156.37	156.37	5.7060	4.4238
3	154.03	151.70	5.1031	4.2587
4	151.71	144.89	4.8129	4.2114
5	149.42		4.6479
6	147.16		4.5456
7	144.92		4.4791
8	142.71		4.4350
9	140.53		4.4060
10	138.37		4.3874
11	136.23		4.3766
12	134.12		4.3715
13	132.04		4.3709

$c m$	策略I			策略II
$c m$	$N I *$	$T I *$	$C 1 (N I , T I )$	$N I I *$	$T I I *$	$C 2 (N I I , T I I )$
60	7	119.39	3.5896	4	188.21 185.39 179.86 171.79	3.5520
80	7	108.48	3.9509	4	170.99 168.44 163.42 156.08	3.9095
100	7	100.63	4.2559	4	158.74 156.37 151.70 144.89	4.2114
120	7	94.76	4.5226	4	149.38 147.18 142.76 136.35	4.47529
140	7	90.02	4.7611	4	141.90 139.78 135.61 129.52	4.7113

$c p$	策略I			策略II
$c p$	$N I *$	$T I *$	$C 1 (N I , T I )$	$N I I *$	$T I I *$	$C 2 (N I I , T I I )$
120	8	86.90	3.5386	5	158.74 156.37 151.70 144.89 136.16	3.7925
160	7	96.50	3.9083	5	158.74 156.37 151.70 144.8 136.16	4.0064
200	7	100.63	4.2559	4	158.74 156.37 151.70 144.89	4.2114
240	6	109.38	4.5714	4	158.74 156.37 151.70 144.89	4.4076
280	6	112.91	4.8713	3	158.74 156.37 151.70	4.6015

$c r$	策略I			策略II
$c r$	$N I *$	$T I *$	$C 1 (N I , T I )$	$N I I *$	$T I I *$	$C 2 (N I I , T I I )$
400	5	100.61	3.5782	2	125.99 124.11	3.1867
600	6	101.54	3.9395	4	144.23 142.07 137.83 131.64	3.74634
800	7	100.63	4.2559	4	158.74 156.37 151.70 144.89	4.2114
1000	7	103.95	4.5351	5	170.99 168.44 163.42 156.08 146.67	4.64906
1200	7	107.01	4.8060	5	181.71 178.99 173.65 165.86 155.86	5.0630

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Optimal Imperfect Maintenance Strategies for Repairable Systems Considering Repair Fatigue

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