面向任务的舰船装备备件利用率计算模型

doi:10.12305/j.issn.1001-506X.2023.05.18

Abstract

Abstract:

In view of the reality that the ship equipment has a long sea voyage time and is far away from the shore base, and the spare parts are difficult to be supplied in time, this paper systematically studies the mission-oriented calculation of the utilization rate of the ship equipment spare parts. Firstly, the calculation method of the utilization rate of the unit-level spare parts is analyzed, and the utilization rate model of the unit-level spare parts is established. Secondly, based on the above analysis, according to whether the shortage of the spare parts will cause the system shutdown, the spare parts are divided into key units which can cause the system shutdown and non-key units which cannot cause the system shutdown, and the equipment system with complex structure is approximated as a series system. According to the two cases of task success and task failure, the calculation model of the utilization rate of the system-level spare parts during the mission is studied. And the calculation model of the utilization rate of the system-level equipment spare parts during the long sea voyage task is established with the success rate of mission as the restrictive constraint. Case calculation and simulation analysis prove that the proposed model can meet the requirements of engineering application, and can provide theoretical support for the equipment support department to formulate the spare parts allocation scheme of the long sea voyage mission.

Key words: mission, success rate of mission, spare part, utilization rate of spare parts

CLC Number:

E917

Junlong WANG, Jingjun LOU, Minzhi RUAN, Hua LI. Mission-oriented calculation model of warship equipment spare parts utilization rate[J]. Systems Engineering and Electronics, 2023, 45(5): 1420-1428.

Figures/Tables 10

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任务时间/h	指数分布 EXP(0.002)		伽马分布 Ga(1.3, 0.002)		正态分布 N(500, 170²)
任务时间/h	仿真结果	解析结果	仿真结果	解析结果	仿真结果	解析结果
600	0.395	0.386	0.266	0.270	0.252	0.257
700	0.423	0.443	0.311	0.318	0.323	0.330
800	0.493	0.497	0.360	0.366	0.389	0.391
900	0.542	0.547	0.409	0.412	0.446	0.450
1 000	0.602	0.594	0.447	0.457	0.513	0.514
1 100	0.623	0.637	0.505	0.501	0.570	0.583
1 200	0.670	0.677	0.531	0.542	0.648	0.650
1 300	0.719	0.713	0.573	0.581	0.716	0.714
1 400	0.740	0.746	0.615	0.619	0.769	0.773
1 500	0.794	0.776	0.660	0.653	0.816	0.827
1 600	0.805	0.803	0.682	0.686	0.876	0.876
1 700	0.827	0.827	0.734	0.716	0.915	0.917
1 800	0.855	0.848	0.733	0.745	0.953	0.948
1 900	0.870	0.867	0.770	0.770	0.969	0.971
2 000	0.886	0.884	0.770	0.794	0.984	0.985
2 100	0.901	0.899	0.814	0.816	0.994	0.993
2 200	0.908	0.912	0.843	0.836	0.998	0.997
2 300	0.916	0.924	0.860	0.854	0.999	0.999
2 400	0.941	0.934	0.873	0.870	0.999	1.000
2 500	0.947	0.943	0.895	0.885	1.000	1.000
2 600	0.947	0.950	0.894	0.898	1.000	1.000
2 700	0.957	0.957	0.899	0.910	1.000	1.000
2 800	0.967	0.963	0.928	0.921	1.000	1.000
2 900	0.971	0.968	0.929	0.930	1.000	1.000
3 000	0.967	0.973	0.940	0.939	1.000	1.000

序号	关键单元1的备件消耗数量	关键单元2的备件消耗数量	非关键单元3的备件消耗数量	备注
1	3	0	0	关键单元1任务期间出现备件短缺
2	3	0	1
3	3	1	0
4	3	1	1
5	3	2	0
6	3	2	1
7	0	2	0	关键单元2任务期间出现备件短缺
8	0	2	1
9	1	2	0
10	1	2	1
11	2	2	0
12	2	2	1
13	3	2	0
14	3	2	1

单元序号	寿命分布规律	备注
1	EXP(500)	关键
2	Ga(1.3, 1/500)	关键
3	N(500, 170²)	关键
4	EXP(1000)	非关键
5	Ga(2.1, 1/500)	非关键

序号	备件方案(各单元的备件数量)					任务成功率P_s		备件利用率P_b
序号	单元1	单元2	单元3	单元4	单元5	仿真结果	解析结果	仿真结果	解析结果
1	1	1	1	3	2	0.002	0.001	0.375	0.375
2	1	1	2	3	2	0.035	0.033	0.389	0.386
3	2	1	2	3	2	0.060	0.070	0.473	0.476
4	2	2	2	3	2	0.136	0.133	0.556	0.543
5	3	2	2	3	2	0.213	0.203	0.584	0.582
6	3	2	3	3	2	0.397	0.377	0.579	0.576
7	3	3	3	3	2	0.501	0.506	0.592	0.591
8	4	3	3	3	2	0.643	0.637	0.610	0.601
9	5	3	3	3	2	0.704	0.716	0.581	0.585
10	5	4	3	3	2	0.807	0.805	0.571	0.572
11	6	4	3	3	2	0.860	0.850	0.548	0.549
12	6	4	4	3	2	0.913	0.911	0.521	0.526

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Mission-oriented calculation model of warship equipment spare parts utilization rate

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