Evaluation of Military Equipment Maintainability in Operational Test Considering Multiple Failure Modes

doi:10.12382/bgxb.2023.1189

Abstract

Abstract:

The evaluation of military equipment maintainability in operational test is characterized by insufficient field test data,various failure modes,different repair states and maintenance tasks of equipment.The fusion of prior information related to the system and its failure modes and field test data can expand the source of information and provide new ideas for the evaluation of equipment maintainability.To this end,the probability of each failure mode combination in the test is updated using discrete Bayes theorem and fault data.The distribution parameters of maintenance time of each failure mode are estimated under Bayes framework.On this basis,the evaluated results of test system maintainability are obtained,and the evaluation of test system maintainability under the condition of battlefield repair is considered.The application of the proposed method is illustrated with an example.It is verified that the proposed method can be used to more accurately estimate the maintenance time density function and system maintainability compared with the existing methods.Result shows that in the context of operational test,taking the test data as a multi-failure mode is conducive to more deeply understand the mechanism for the distribution of maintenance time and grasp the specific logic for the maintenance assessment in more detail,thus obtaining more reasonable assessment results.

Key words: operational test, maintainability evaluation, multiple failure modes, Bayes theory, information fusion

HAO Jianping, PEI Mochao, GAO Cuijuan, ZHANG Jianjun, SUN Yafei. Evaluation of Military Equipment Maintainability in Operational Test Considering Multiple Failure Modes[J]. Acta Armamentarii, 2025, 46(1): 231189-.

Figures/Tables 5

Fig.1 Maintainability curves for each failure mode and the system

Table 1 Estimates of σ i 2with different values of u θ i, l θ i, u σ i 2and l σ i 2

序号	$u θ i$	$l θ i$	$u σ i 2$	$l σ i 2$	$σ^i 2$
1	33.420	25.420	34.214	14.214	24.925
2	37.420	21.420	34.214	14.214	25.105
3	45.420	13.420	34.214	14.214	25.108
4	19.420	35.420	34.214	14.214	25.091
5	23.420	39.420	34.214	14.214	25.091
6	37.420	21.420	44.214	4.214	28.975
7	37.420	21.420	42.214	2.214	28.025
8	37.420	21.420	46.214	6.214	29.901

Table 1 Estimates of σ i 2with different values of u θ i, l θ i, u σ i 2and l σ i 2

序号	$u θ i$	$l θ i$	$u σ i 2$	$l σ i 2$	$σ^i 2$
1	33.420	25.420	34.214	14.214	24.925
2	37.420	21.420	34.214	14.214	25.105
3	45.420	13.420	34.214	14.214	25.108
4	19.420	35.420	34.214	14.214	25.091
5	23.420	39.420	34.214	14.214	25.091
6	37.420	21.420	44.214	4.214	28.975
7	37.420	21.420	42.214	2.214	28.025
8	37.420	21.420	46.214	6.214	29.901

Fig.2 State transfer diagram of testequipment in battlefield repairing

Table 2 Eestimated mean square errors and deviations of parameters of simulated maintenance time distribution

参数 (θ,σ²)	方法	MSE		DVT
参数 (θ,σ²)	方法	$θ^M S E$	$σ^2 M S E$	$θ^D V T$	$σ^2 D V T$
(32,58)	本文方法	2.78	413.96	0.20	4.28
(32,58)	对比方法	3.16	400.35	0.21	-9.24
(32,78)	本文方法	3.79	742.86	0.28	4.89
(32,78)	对比方法	4.51	765.74	0.29	-13.77
(32,98)	本文方法	5.14	1089.14	0.34	4.57
(32,98)	对比方法	6.03	1179.45	0.33	-17.74
(30,78)	本文方法	3.79	843.33	0.14	9.09
(30,78)	对比方法	4.47	711.21	0.13	-14.23
(35,78)	本文方法	3.83	757.78	0.21	6.67
(35,78)	对比方法	4.44	690.50	0.17	-11.61
(40,78)	本文方法	3.94	781.19	0.08	5.20
(40,78)	对比方法	4.73	793.14	0.06	-13.26

Table 2 Eestimated mean square errors and deviations of parameters of simulated maintenance time distribution

参数 (θ,σ²)	方法	MSE		DVT
参数 (θ,σ²)	方法	$θ^M S E$	$σ^2 M S E$	$θ^D V T$	$σ^2 D V T$
(32,58)	本文方法	2.78	413.96	0.20	4.28
(32,58)	对比方法	3.16	400.35	0.21	-9.24
(32,78)	本文方法	3.79	742.86	0.28	4.89
(32,78)	对比方法	4.51	765.74	0.29	-13.77
(32,98)	本文方法	5.14	1089.14	0.34	4.57
(32,98)	对比方法	6.03	1179.45	0.33	-17.74
(30,78)	本文方法	3.79	843.33	0.14	9.09
(30,78)	对比方法	4.47	711.21	0.13	-14.23
(35,78)	本文方法	3.83	757.78	0.21	6.67
(35,78)	对比方法	4.44	690.50	0.17	-11.61
(40,78)	本文方法	3.94	781.19	0.08	5.20
(40,78)	对比方法	4.73	793.14	0.06	-13.26

Fig.3 Point estimation curves of maintainability using the proposed method and the comparison method

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