考虑多资源约束的多任务条件下装备选择性维修决策

doi:10.7527/S1000-6893.2022.27327

Abstract

Abstract:

In the battlefield environment， the mission interval is limited. The quick restoration of equipment combat power and improvement of mission reliability is an important issue in equipment maintenance decision-making. Taking equipment continuously performing multiple missions as the background， and comprehensively considering factors such as mission reliability requirement， availability requirement and the skill levels of maintenance personnel， we establish an equipment selective maintenance decision-making model with the optimization goal of minimizing the sum of the multi-mission interval time， and use the genetic algorithm to obtain the solution. Combined with a numerical example， the influences of factors such as mission reliability requirement， availability requirement and the skill levels of maintenance personnel on the optimization results are analyzed. The results show that the established model and the solution algorithm are effective， which can provide theoretical guidance and technical support for equipment maintenance decision-making in the battlefield environment.

Key words: selective maintenance, imperfect maintenance, multi-mission, genetic algorithm, reliability

CLC Number:

V233

Weining MA, Qiwei HU, Xisheng JIA. Selective maintenance decision for equipment under multi-mission setting considering multiple resource constraints[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(2): 227327.

Figures/Tables 16

Fig.1

Fig.2

Fig.3

Fig.4

Table 1

Basic parameters of each component

$E i j$	$η i j$	$β i j$	$X i j (s)$	$t i j (1)$	$t i j (2)$	$t i j (3)$	$t i j (4)$
$E 11$	150	1.5	130	2	3	6	8
$E 12$	150	1.3	120	1	3	5	7
$E 13$	160	1.6	150	2	4	5	8
$E 21$	170	1.6	170	3	4	5	9
$E 22$	170	1.7	120	2	3	6	8
$E 23$	150	1.2	110	1	3	5	7
$E 24$	180	1.7	170	2	4	6	9
$E 31$	130	1.2	110	1	2	5	7
$E 32$	130	1.1	130	2	5	7	8
$E 33$	150	1.1	110	1	3	6	9

Table 1

Table 2

Relationship between ϕij(k) and bij(k)

维修行为

不维修

不完全

维修

不完全

维修

不完全

维修

完全维修

ϕ i j (k)

Ⅰ

Ⅱ

Ⅲ

Ⅳ

Ⅴ

b i j (k)

0.7

0.4

0.2

Table 2

Table 3

Equipment selective maintenance strategy and task assignment strategy in each mission interval

任务间隔/个	维修部件	维修行为	维修人员	最优可靠度
1	$E 11$	Ⅱ	H4	0.916 7
	$E 12$	Ⅰ	H3
	$E 13$	Ⅱ	H2
	$E 21$	Ⅱ	H4
	$E 22$	Ⅰ	H2
	$E 23$	Ⅴ	H4
	$E 24$	Ⅱ	H2
	$E 31$	Ⅲ	H3
	$E 32$	Ⅳ	H4
	$E 33$	Ⅱ	H4
2	$E 11$	Ⅰ	H4	0.929 8
	$E 12$	Ⅱ	H3
	$E 13$	Ⅰ	H2
	$E 21$	Ⅰ	H3
	$E 22$	Ⅲ	H1
	$E 23$	Ⅱ	H3
	$E 24$	Ⅲ	H3
	$E 31$	Ⅱ	H4
	$E 32$	Ⅱ	H2
	$E 33$	Ⅴ	H4

Table 3

任务间隔/个	维修部件	维修行为	维修人员	最优可靠度
3	$E 11$	Ⅰ	H4	0.957 3
	$E 12$	Ⅲ	H4
	$E 13$	Ⅴ	H4
	$E 21$	Ⅰ	H2
	$E 22$	Ⅱ	H1
	$E 23$	Ⅲ	H3
	$E 24$	Ⅰ	H2
	$E 31$	Ⅱ	H2
	$E 32$	Ⅰ	H2
	$E 33$	Ⅲ	H3
4	$E 11$	Ⅰ	H2	0.961 8
	$E 12$	Ⅱ	H1
	$E 13$	Ⅰ	H1
	$E 21$	Ⅰ	H4
	$E 22$	Ⅱ	H2
	$E 23$	Ⅲ	H3
	$E 24$	Ⅴ	H4
	$E 31$	Ⅱ	H4
	$E 32$	Ⅳ	H4
	$E 33$	Ⅲ	H4
5	$E 11$	Ⅱ	H1	0.964 8
	$E 12$	Ⅱ	H3
	$E 13$	Ⅲ	H2
	$E 21$	Ⅲ	H4
	$E 22$	Ⅰ	H1
	$E 23$	Ⅳ	H4
	$E 24$	Ⅰ	H2
	$E 31$	Ⅱ	H3
	$E 32$	Ⅲ	H2
	$E 33$	Ⅰ	H3

Fig.5

Table 4

Table 5

Table 6

Table 7

Fig.6

Table 8

Table 9

References 25

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可靠度要求	最小可靠度	最优任务间隔时间/h	可用度水平
0.7	0.904 2	34.5	0.878 7
0.75	0.908 9	37	0.871 1
0.8	0.915 8	40.5	0.860 6
0.85	0.916 2	41.5	0.857 6
0.9	0.916 7	42	0.856 2

可用度要求	最优可用度	最优任务间隔时间/h	可靠度水平
0.6	0.679 3	118	0.948 2
0.65	0.704 2	105	0.947 3
0.7	0.783 7	69	0.944 6
0.75	0.833 3	50	0.931 6
0.8	0.860 6	40.5	0.915 8

组别	任务间隔时间/h	任务1	任务2	任务3	任务4	任务5	可用度
混合组	42	0.916 7	0.929 8	0.957 3	0.961 8	0.964 8	0.856 2
初级组	61.5	0.901 1	0.910 6	0.932 8	0.951 2	0.958 3	0.802 6
中级组	47	0.909 2	0.923 1	0.952 2	0.960 4	0.961 9	0.841 8
高级组	37.5	0.930 1	0.947 9	0.960 3	0.963 6	0.967 1	0.869 6

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Selective maintenance decision for equipment under multi-mission setting considering multiple resource constraints

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任务间隔/个	维修行为
任务间隔/个	Ⅰ	Ⅱ	Ⅲ	Ⅳ	Ⅴ
合计	15	17	11	3	4
1	2	5	1	1	1
2	3	4	2	0	1
3	4	2	3	0	1
4	3	3	2	1	1
5	3	3	3	1	0