考虑维修任务分配的装备选择性维修决策优化

doi:10.12305/j.issn.1001-506X.2023.06.35

摘要/Abstract

摘要：

在紧迫的战场环境下, 如何利用有限的时间、人力和资源保持或恢复装备战斗力, 使装备具有连续执行任务的能力, 是装备保障指挥人员最关心的问题之一。本文以装备执行多个作战任务为背景, 综合考虑维修保障时间、不完全维修效果、维修人员技能水平、装备性能状态等因素, 以最小阶段任务可靠度最大化为决策目标, 建立考虑维修任务分配的装备选择性维修决策模型, 采用遗传算法进行优化求解。结合算例, 分析了任务持续时间、维修人员技能水平对决策目标的影响, 验证了所提模型及算法的有效性。

关键词: 选择性维修, 不完全维修, 任务分配, 可靠度, 遗传算法

Abstract:

Under the urgent battlefield environment, how to maintain or recovery the combat effectiveness of equipment with limited time, manpower and resources to ensure the ability of continuous mission-performing, has become one of the most concerned issues for equipment support commanders. In this paper, the equipment performing multiple missions is studied and varies factors such as maintenance time, imperfect maintenance, personnel skill level and equipment performance status are taken into consideration. Aiming at maximizing the minimum phased mission reliability, a selective maintenance decision model considering maintenance task assignment is established, and genetic algorithm is utilized to obtain the optimal solution. The influences of mission duration and personnel skill level on the decision objective are analyzed through an example, and the validity of the proposed model and algorithm is verified.

Key words: selective maintenance, imperfect maintenance, task assignment, reliability, genetic algorithm (GA)

中图分类号:

马维宁, 胡起伟, 曹文斌, 贾希胜. 考虑维修任务分配的装备选择性维修决策优化[J]. 系统工程与电子技术, 2023, 45(6): 1902-1910.

Weining MA, Qiwei HU, Wenbin CAO, Xisheng JIA. Equipment selective maintenance decision optimization considering maintenance task assignment[J]. Systems Engineering and Electronics, 2023, 45(6): 1902-1910.

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参考文献 30

1	甘茂治,康建设,高崎.军用装备维修工程学[M].2版北京:国防工业出版社,2005.
	GANM Z,KANGJ S,GAOQ.Military equipment maintenance engineering[M].2nd edBeijing:National Defence Industry Press,2005.
2	RICE W F, CASSADY C R, NACHLAS J A. Optimal maintenance plans under limited maintenance time[C]//Proc. of the 7th Industrial Engineering Research Conference, 1998.
3	HESABIH,NOURELFATHM,HAJJIA.A deep learning predictive model for selective maintenance optimization[J].Reliability Engineering & System Safety,2022,219,108191.
4	GHORBANIM,NOURELFATHM,GENDREAUM.A two-stage stochastic programming model for selective maintenance optimization[J].Reliability Engineering & System Safety,2022,223,108480.
5	MAW N,LIH,YANGZ Y,et al.Maintenance optimization for two-component series systems with degradation dependence[J].IEEE Access,2021,9,48174-48184. doi: 10.1109/ACCESS.2021.3062567
6	NIUG,JIANGJ J.Prognostic control-enhanced maintenance optimization for multi-component systems[J].Reliability Engineering & System Safety,2017,168,218-226.
7	RRZAEIE.A new model for the optimization of periodic inspection intervals with failure interaction: a case study for a turbine rotor[J].Case Studies in Engineering Failure Analysis,2017,9,148-156. doi: 10.1016/j.csefa.2015.10.001
8	于文莉,周晓军.考虑退化交互的多部件系统动态机会维护建模[J].上海交通大学学报,2022,54(11):1157-1164. doi: 10.16183/j.cnki.jsjtu.2019.300
	YUW L,ZHOUX J.Dynamic opportunistic maintenance model of multi-component system considering degradation interaction[J].Journal of Shanghai Jiao Tong University,2022,54(11):1157-1164. doi: 10.16183/j.cnki.jsjtu.2019.300
9	RASMEKOMENN,PARLIKADA K.Condition-based maintenance of multi-component systems with degradation state-rate interactions[J].Reliability Engineering & System Safety,2016,148,1-10.
10	DINHD H,DOP,LUNGB.Multi-level opportunistic predictive maintenance for multi-component systems with economic dependence and assembly/disassembly impacts[J].Reliability Engineering & System Safety,2022,217,108055.
11	刘宇. 多状态复杂系统可靠性建模及维修决策[D]. 成都: 电子科技大学, 2010.
	LIU Y. Multi-state complex system reliability modeling and maintenance decision[D]. Chengdu: University of Electronic Science and Technology of China, 2010.
12	CHEN C J, LIU Y, HUANG H Z. Optimal load distribution for multi-state systems under selective maintenance strategy[C]//Proc. of the International Conference on Quality, Reliability, Risk Maintenance and Safety Engineering, 2012: 436-442.
13	DAOC D,ZUOM J.Selective maintenance for multistate series systems with s-dependent components[J].IEEE Trans.on Reliability,2015,65(2):525-539.
14	PANDEYM,ZUOM J,MOGHADDASSR.Selective maintenance modeling for a multistate system with multistate components under imperfect maintenance[J].ⅡE Transactions,2013,45(11):1221-1234.
15	LISNIANSKIA,LEVITING.Multi-state system reliability assessment, optimization, application[M].Singapore:World Scientific,2003.
16	SUNY,SUNZ L,ZHOUJ.Selective maintenance on a multi-state system considering maintenance task assignment and ope-rating cost[J].Systems Engineering,2022,25(2):157-172. doi: 10.1002/sys.21608
17	SCHNEIDERK,CASSADYC R.Evaluation and comparison of alternative fleet-level selective maintenance models[J].Reliability Engineering & System Safety,2015,134,178-187.
18	曹文斌,胡起伟,苏续军,等.随机共因失效条件下的多阶段任务成功概率评估研究[J].兵工学报,2017,38(4):766-775. doi: 10.3969/j.issn.1000-1093.2017.04.019
	CAOW B,HUQ W,SUX J,et al.Research on phased-mission success probability assessment under random common cause failures[J].Acta Armamentarii,2017,38(4):766-775. doi: 10.3969/j.issn.1000-1093.2017.04.019
19	曹文斌,贾希胜,胡起伟,等.随机多阶段任务成功概率仿真评估研究[J].兵工学报,2017,38(5):1002-1010. doi: 10.3969/j.issn.1000-1093.2017.05.021
	CAOW B,JIAX S,HUQ W,et al.Research on simulation of mission completion success probability assessment for random phased-mission[J].Acta Armamentarii,2017,38(5):1002-1010. doi: 10.3969/j.issn.1000-1093.2017.05.021
20	GUPTAN,ALII,BARIA.Selective maintenance & redundancy allocation problem with interval coefficients[J].ProbStat Forum,2014,7,98-104.
21	KAMALM,MODIBBOU M,ALARJANIA,et al.Neutrosophic fuzzy goal programming approach in selective maintenance allocation of system reliability[J].Complex & Intelligent Systems,2021,7(2):1045-1059.
22	DIALLOC,AGHEZZAFE H,KHATABA,et al.Optimal joint selective imperfect maintenance and multiple repairpersons assignment strategy for complex multicomponent systems[J].International Journal of Production Research,2019,57(13):4098-4117. doi: 10.1080/00207543.2018.1505060
23	HASSENS,GUPTAN,BARIA.A fuzzy approach for a multiobjective selective maintenance problem[J].International Journal of Operations Research,2015,12(3):91-101.
24	CHAABANEK,KHATABA,DIALLOC,et al.Integrated imperfect multi-mission selective maintenance and repairpersons assignment problem[J].Reliability Engineering & System Safety,2020,199,106895.
25	LIUL J,YANGJ,KONGX F,et al.Multi-mission selective maintenance and repairpersons assignment problem with stochastic durations[J].Reliability Engineering & System Safety,2022,219,108209.
26	JIANGT,LIUY.Selective maintenance strategy for systems executing multiple consecutive missions with uncertainty[J].Reliability Engineering & System Safety,2020,193,106632.
27	王少华,张仕新,李勇,等.有限任务间隔时间内的装备选择性维修决策研究[J].系统工程与电子技术,2018,40(11):2611-2616.
	WANGS H,ZHANGS X,LIY,et al.Research on selective maintenance decision-making of equipment given finite mission time intervals[J].Systems Engineering and Electronics,2018,40(11):2611-2616.
28	KIJIMAM.Some results for repairable systems with general repair[J].Journal of Applied Probability,1989,26(1):89-102.
29	DOYENL,GAUDOINO.Classess of imperfect repair models based on reduction of failure intensity or virtual age[J].Reli-ability Engineering & System Safety,2004,84(1):45-56.
30	BARTHOLOMEWB M,ZUOM J,LIX H.Modelling and optimizing sequential imperfect preventive maintenance[J].Reliability Engineering & System Safety,2009,94(1):53-62.

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
ω(k)	I	Ⅱ	Ⅲ	Ⅳ	P
b_ij(k)	1	0.8	0.5	0.2	0

E_ij	η_ij	β_ij	X_ij0	t_ij(I)/h	t_ij(Ⅱ)/h	t_ij(Ⅲ)/h	t_ij(Ⅳ)/h	t_ij(P)/h
E₁₁	160	1.6	120	0	2	4	5	7
E₁₂	160	1.2	140	0	1	3	4	6
E₂₁	180	1.5	160	0	3	4	6	8
E₂₂	180	1.4	130	0	2	4	5	6
E₂₃	140	1.2	120	0	2	3	4	7
E₂₄	180	1.8	150	0	1	3	6	8
E₃₁	120	1.2	100	0	1	3	4	6
E₃₂	120	1.4	140	0	2	4	6	8
E₃₃	100	1.8	170	0	2	3	5	7

任务间隔	最优可靠度	系统部件	维修行为	任务分配
1	0.916 8	E₁₁	Ⅳ	L4
		E₁₂	Ⅲ	L2
		E₂₁	Ⅱ	L2
		E₂₂	Ⅱ	L3
		E₂₃	Ⅱ	L1
		E₂₄	Ⅳ	L3
		E₃₁	Ⅲ	L2
		E₃₂	I	L2
		E₃₃	P	L4
2	0.933 3	E₁₁	Ⅲ	L1
		E₁₂	Ⅱ	L4
		E₂₁	Ⅲ	L2
		E₂₂	Ⅲ	L2
		E₂₃	Ⅲ	L3
		E₂₄	P	L4
		E₃₁	Ⅱ	L2
		E₃₂	Ⅲ	L4
		E₃₃	Ⅱ	L3
3	0.948 7	E₁₁	Ⅳ	L4
		E₁₂	Ⅳ	L3
		E₂₁	Ⅳ	L3
		E₂₂	P	L4
		E₂₃	Ⅱ	L1
		E₂₄	Ⅳ	L3
		E₃₁	Ⅲ	L1
		E₃₂	Ⅱ	L2
		E₃₃	Ⅱ	L1
4	0.957 1	E₁₁	Ⅳ	L2
		E₁₂	Ⅱ	L3
		E₂₁	Ⅱ	L4
		E₂₂	Ⅱ	L3
		E₂₃	Ⅱ	L2
		E₂₄	I	L1
		E₃₁	Ⅲ	L3
		E₃₂	Ⅳ	L2
		E₃₃	I	L3
5	0.958 8	E₁₁	Ⅱ	L3
		E₁₂	I	L3
		E₂₁	Ⅱ	L1
		E₂₂	I	L2
		E₂₃	I	L1
		E₂₄	P	L4
		E₃₁	Ⅲ	L2
		E₃₂	Ⅲ	L3
		E₃₃	P	L4

维修策略	任务间隔
维修策略	1	2	3	4	5
维修级别	P	Ⅱ	Ⅱ	I	P
维修人员	L4	L3	L1	L3	L4

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