基于指派模型的导弹装备体系弹种优化设计

doi:10.12305/j.issn.1001-506X.2022.03.18

Abstract

Abstract:

According to the requirements of multi missile cooperative completion of multi type combat tasks in system of systems operations, a missile type optimization design structure framework guided by missile equipment system effectiveness is established. Aiming at the optimization of equipment system effectiveness considering task, cost and risk factors, an assignment model is constructed, and the constraints of the model are given. Aiming at the characteristics of large feasible solution space and long calculation time of the optimization problem, a fast model solution method based on combat ring is designed to speed up the design process. The example analysis results show that the assignment model can solve the optimal missile design scheme in the missile equipment system. At the same time, the introduction of combat ring can greatly reduce the maneuverable area, so as to significantly improve the design and calculation efficiency.

Key words: missile familization design, system effectiveness, assignment model, combination optimization, operational loop

CLC Number:

V221
V37

Feiran GUO, Jianqiao YU, Bao SONG. Optimal design of missile types in missile equipment system based on assignment model[J]. Systems Engineering and Electronics, 2022, 44(3): 850-862.

Figures/Tables 28

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Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Table 1

Table 2

Table 3

Table 4

Table 5

Table 6

Table 7

Table 8

Table 9

Table 10

Table 11

Table 12

Table 13

Table 14

Table 15

Table 16

Table 17

Table 18

Optimal missile combinations, parameter values and absolute contribution degrees of corresponding system effectiveness obtained by the fast solution method based on operational loop"

弹种	导引头有效作用距离/km	IMU姿态精度/(°/h)	IMU位置精度/(m/h)	舵机最大舵偏角/(°)	舵机最大舵偏角速度/(°/s)	发动机推力/kN	发动机总冲(kN·s)	战斗部质量/kg	体系效能绝对贡献度
S₂M₂C₃P₂I₁	10	1	1	35	250	40	300	150	0.000 66
S₂M₂C₃P₂I₁	9	1	1	35	250	45	350	150	0.001 50
S₂M₂C₃P₂I₁	10	1	1	35	250	45	350	150	0.004 20
S₂M₂C₃P₂I₁	8	1	1	35	250	50	400	150	0.002 30
S₂M₂C₃P₂I₁	9	1	1	35	250	50	400	150	0.005 00
S₂M₂C₃P₂I₁	10	1	1	35	250	50	400	150	0.007 80
S₂M₂C₃P₂I₁	10	2	2	35	250	50	400	150	0.000 90
S₂M₂C₃P₂I₁	10	1	1	35	250	40	300	175	0.002 80
S₂M₂C₃P₂I₁	8	1	1	35	250	45	350	175	0.000 81
S₂M₂C₃P₂I₁	9	1	1	35	250	45	350	175	0.003 60
S₂M₂C₃P₂I₁	10	1	1	35	250	45	350	175	0.006 30
S₂M₂C₃P₂I₁	10	1	1	30	225	50	400	175	0.000 73
S₂M₂C₃P₂I₁	8	1	1	35	250	50	400	175	0.004 40
S₂M₂C₃P₂I₁	9	1	1	35	250	50	400	175	0.007 10
S₂M₂C₃P₂I₁	10	1	1	35	250	50	400	175	0.009 90
S₂M₂C₃P₂I₁	9	2	2	35	250	50	400	175	0.000 24
S₂M₂C₃P₂I₁	10	2	2	35	250	50	400	175	0.003 00
S₂M₂C₃P₂I₁	9	1	1	35	250	40	300	200	0.002 10
S₂M₂C₃P₂I₁	10	1	1	35	250	40	300	200	0.004 90
S₂M₂C₃P₂I₁	8	1	1	35	250	45	350	200	0.002 90
S₂M₂C₃P₂I₁	9	1	1	35	250	45	350	200	0.005 70
S₂M₂C₃P₂I₁	10	1	1	35	250	45	350	200	0.008 40
S₂M₂C₃P₂I₁	10	2	2	35	250	45	350	200	0.001 50
S₂M₂C₃P₂I₁	9	1	1	30	225	50	400	200	0.000 07
S₂M₂C₃P₂I₁	10	1	1	30	225	50	400	200	0.002 80
S1M2C3P2I1	10	1	1	35	250	50	400	200	0.000 30
S₂M₂C₃P₂I₁	8	1	1	35	250	50	400	200	0.006 50
S₂M₂C₃P₂I₁	9	1	1	35	250	50	400	200	0.009 20
S₂M₂C₃P₂I₁	10	1	1	35	250	50	400	200	0.012 00
S₂M₂C₃P₂I₁	9	2	2	35	250	50	400	200	0.002 30
S₂M₂C₃P₂I₁	10	2	2	35	250	50	400	200	0.005 10
S2M2C3P2I2	10	1	1	35	250	50	400	150	0.002 20
S2M2C3P2I2	10	1	1	35	250	45	350	175	0.000 03
S2M2C3P2I2	9	1	1	35	250	50	400	175	0.000 84
S2M2C3P2I2	10	1	1	35	250	50	400	175	0.003 60
S2M2C3P2I2	10	1	1	35	250	45	350	200	0.001 40
S2M2C3P2I2	9	1	1	35	250	50	400	200	0.002 20
S2M2C3P2I2	10	1	1	35	250	50	400	200	0.005 00

Table 18

Table 19

Table 20

Optimal missile combinations, parameter values and absolute contribution degrees of corresponding system effectiveness obtained by branch and bound method"

弹种	导引头有效作用距离/km	IMU姿态精度/(°/h)	IMU位置精度/(m/h)	舵机最大舵偏角/(°)	舵机最大舵偏角速度/(°/s)	发动机推力/kN	发动机总冲(kN·s)	战斗部质量/kg	体系效能绝对贡献度
S₂M₂C₃P₂I₁	10	1	1	35	250	40	300	150	0.000 66
S₂M₂C₃P₂I₁	9	1	1	35	250	45	350	150	0.001 50
S₂M₂C₃P₂I₁	10	1	1	35	250	45	350	150	0.004 20
S₂M₂C₃P₂I₁	8	1	1	35	250	50	400	150	0.002 30
S₂M₂C₃P₂I₁	9	1	1	35	250	50	400	150	0.005 00
S₂M₂C₃P₂I₁	10	1	1	35	250	50	400	150	0.007 80
S₂M₂C₃P₂I₁	10	2	2	35	250	50	400	150	0.000 90
S₂M₂C₃P₂I₁	10	1	1	35	250	40	300	175	0.002 80
S₂M₂C₃P₂I₁	8	1	1	35	250	45	350	175	0.000 81
S₂M₂C₃P₂I₁	9	1	1	35	250	45	350	175	0.003 60
S₂M₂C₃P₂I₁	10	1	1	35	250	45	350	175	0.006 30
S₂M₂C₃P₂I₁	10	1	1	30	225	50	400	175	0.000 73
S₂M₂C₃P₂I₁	8	1	1	35	250	50	400	175	0.004 40
S₂M₂C₃P₂I₁	9	1	1	35	250	50	400	175	0.007 10
S₂M₂C₃P₂I₁	10	1	1	35	250	50	400	175	0.009 90
S₂M₂C₃P₂I₁	9	2	2	35	250	50	400	175	0.000 24
S₂M₂C₃P₂I₁	10	2	2	35	250	50	400	175	0.003 00
S₂M₂C₃P₂I₁	9	1	1	35	250	40	300	200	0.002 10
S₂M₂C₃P₂I₁	10	1	1	35	250	40	300	200	0.004 90
S₂M₂C₃P₂I₁	8	1	1	35	250	45	350	200	0.002 90
S₂M₂C₃P₂I₁	9	1	1	35	250	45	350	200	0.005 70
S₂M₂C₃P₂I₁	10	1	1	35	250	45	350	200	0.008 40
S₂M₂C₃P₂I₁	10	2	2	35	250	45	350	200	0.001 50
S₂M₂C₃P₂I₁	9	1	1	30	225	50	400	200	0.000 07
S₂M₂C₃P₂I₁	10	1	1	30	225	50	400	200	0.002 80
S1M2C3P2I1	10	1	1	35	250	50	400	200	0.000 30
S₂M₂C₃P₂I₁	8	1	1	35	250	50	400	200	0.006 50
S₂M₂C₃P₂I₁	9	1	1	35	250	50	400	200	0.009 20
S₂M₂C₃P₂I₁	10	1	1	35	250	50	400	200	0.012 00
S₂M₂C₃P₂I₁	9	2	2	35	250	50	400	200	0.002 30
S₂M₂C₃P₂I₁	10	2	2	35	250	50	400	200	0.005 10
S2M2C3P2I2	10	1	1	35	250	50	400	150	0.002 20
S2M2C3P2I2	10	1	1	35	250	45	350	175	0.000 03
S2M2C3P2I2	9	1	1	35	250	50	400	175	0.000 84
S2M2C3P2I2	10	1	1	35	250	50	400	175	0.003 60
S2M2C3P2I2	10	1	1	35	250	45	350	200	0.001 40
S2M2C3P2I2	9	1	1	35	250	50	400	200	0.002 20
S2M2C3P2I2	10	1	1	35	250	50	400	200	0.005 00

Table 20

Table 21

References 32

1	商巍, 赵涛, 环夏, 等. 导弹武器系统协同作战研究[J]. 战术导弹技术, 2018, (2): 31- 35, 48.
	SHANG W , ZHAO T , HUAN X , et al. Research on cooperative operation of missile weapon system[J]. Tactical Missile Technology, 2018, (2): 31- 35, 48.
2	李向林, 于本水. 防空导弹总体设计方法的新发展——弹族化设计[J]. 现代防御技术, 2002, 30 (3): 14- 20. doi: 10.3969/j.issn.1009-086X.2002.03.004
	LI X L , YU B S . New development of overall design method for air defense missile——family design[J]. Modern Defense Technology, 2002, 30 (3): 14- 20. doi: 10.3969/j.issn.1009-086X.2002.03.004
3	邢恩峰, 钱建平, 赵国志. 面向大规模定制的弹药模块化设计及产品族规划研究[J]. 弹箭与制导学报, 2006, 26 (2): 582- 584, 587. doi: 10.3969/j.issn.1673-9728.2006.02.184
	XING E F , QIAN J P , ZHAO G Z . Research on modular design and product family planning of ammunition for mass customization[J]. Journal of projectile and guidance, 2006, 26 (2): 582- 584, 587. doi: 10.3969/j.issn.1673-9728.2006.02.184
4	仝云. 防空导弹弹族多目标优化设计[D]. 哈尔滨: 哈尔滨工程大学, 2011.
	TONG Y. Multi objective optimization design of air defense missile family[D]. Harbin: Harbin Engineering University, 2011.
5	孙晓峰. 针对不同质量战斗部的防空导弹弹族设计[J]. 现代防御技术, 2017, 45 (4): 50- 58. doi: 10.3969/j.issn.1009-086x.2017.04.009
	SUN X F . Design of air defense missile family for warheads of diffe-rent mass[J]. Modern Defense Technology, 2017, 45 (4): 50- 58. doi: 10.3969/j.issn.1009-086x.2017.04.009
6	王克, 唐火红, 何其昌, 等. 混流生产线作业指派的优化方法研究[J]. 合肥工业大学学报(自然科学版), 2020, 43 (3): 316- 320. doi: 10.3969/j.issn.1003-5060.2020.03.005
	WANG K , TANG H H , HE Q C , et al. Research on the optimization method of job assignment in mixed model production line[J]. Journal of Hefei University of Technology (Natural Science Edition), 2020, 43 (3): 316- 320. doi: 10.3969/j.issn.1003-5060.2020.03.005
7	田倩南, 李昆鹏, 李文莉, 等. 机场任务指派问题的优化方案研究[J]. 运筹与管理, 2019, 28 (11): 301- 308.
	TIAN Q N , LI K P , LI W L , et al. Research on optimization scheme of airport task assignment problem[J]. Operations Research and Management, 2019, 28 (11): 301- 308.
8	AJAY K , CHINMAY P , SANTANU C . Task mapping and flow priority assignment of real-time industrial applications for network-on-clip based design[J]. Microprocessors and Microsystems, 2020, 342 (15): 4416- 4419.
9	黄泽乾, 丁涛, 王雅. 自动化集装箱码头AGV调度研究[J]. 武汉理工大学学报(交通科学与工程版), 2019, 43 (6): 1165- 1168.
	HUANG Z Q , DING T , WANG Y . Research on AGV scheduling of automated container terminals[J]. Journal of Wuhan University of Technology(Transportation Science and Engineering Edition), 2019, 43 (6): 1165- 1168.
10	张超省, 王健, 李政民, 等. 作战工程保障行动中的一种战士-装备-任务指派模型及其求解[J]. 兵工学报, 2019, 40 (7): 1511- 1517. doi: 10.3969/j.issn.1000-1093.2019.07.022
	ZHANG C X , WANG J , LI Z M , et al. A soldier equipment task assignment model and its solution in combat engineering support operations[J]. Acta Ordnance, 2019, 40 (7): 1511- 1517. doi: 10.3969/j.issn.1000-1093.2019.07.022
11	叶航航, 李泽仁, 刘浩, 等. 一种基于指派模型的导弹-目标分配算法[C]//中国自动化大会, 2018: 564-569.
	YE H H, LI Z R, LIU H, et al. A missile target assignment algorithm based on assignment model[C]//Proc. of the China Automation Conference, 2018: 564-569.
12	XU J P , ZHOU X Y , WU D D . Portfolio selection using λ mean and hybrid entropy[J]. Annals of Operations Research, 2011, 185 (1): 1604- 1612.
13	BUEDE D , BRESNICK T . Applications of decision analysis to the military systems acquisition process[J]. Interfaces, 1992, 22 (6): 110- 125. doi: 10.1287/inte.22.6.110
14	BUCKSHAW L , PARNELL S , UNKENHOLZ L , et al. Mission oriented risk and design analysis of critical information systems[J]. Military Operations Research, 2005, 10 (2): 19- 38. doi: 10.5711/morj.10.2.19
15	KANGASPUNTA J , LIESIÖ J , MILD P A . Cost-efficiency analysis of weapon system portfolios[J]. European Journal of Operational Research, 2012, 223 (1): 264- 275. doi: 10.1016/j.ejor.2012.05.042
16	周宇. 基于能力的武器装备组合规划问题与方法[D]. 长沙: 国防科学技术大学, 2013.
	ZHOU Y. Problem and method of weapon equipment combination planning based on capability[D]. Changsha: University of Defense Science and Technology, 2013.
17	张骁雄, 葛冰峰. 面向能力需求的武器装备组合规划模型与算法[J]. 国防科技大学学报, 2017, 39 (1): 102- 108.
	ZHANG X X , GE B F . Model and algorithm of weapon equipment combination planning for capability requirements[J]. Journal of National University of Defense Science and Techno-logy, 2017, 39 (1): 102- 108.
18	夏博远, 赵青松. 基于动态能力需求的鲁棒性武器系统组合决策[J]. 系统工程与电子技术, 2017, 39 (6): 1280- 1286.
	XIA B Y , ZHAO Q S . Robust weapon system combination decision based on dynamic capability requirements[J]. Systems Engineering and Electronics, 2017, 39 (6): 1280- 1286.
19	钱晓超, 董晨, 陆志沣. 基于效能评估的武器装备体系优化设计方法[J]. 系统仿真技术, 2017, 13 (4): 286- 291, 362. doi: 10.3969/j.issn.1673-1964.2017.04.004
	QIAN X C , DONG C , LU Z F . Weapon system optimization design method based on effectiveness evaluation[J]. System Simulation Technology, 2017, 13 (4): 286- 291, 362. doi: 10.3969/j.issn.1673-1964.2017.04.004
20	豆亚杰, 徐向前, 周哲轩, 等. 系统组合选择方法及典型军事应用[J]. 系统工程与电子技术, 2019, 41 (12): 2754- 2762.
	DOU Y J , XU X Q , ZHOU Z X , et al. System combination selection method and typical military applications[J]. Systems Engineering and Electronics, 2019, 41 (12): 2754- 2762.
21	张杰, 唐宏, 苏凯. 效能评估方法研究[M]. 北京: 国防工业出版社, 2009.
	ZHANG J , TANG H , SU K . Research on effectiveness evaluation method[M]. Beijing: National Defense Industry Press, 2009.
22	郭新宝. 一类基于AHP和0-1规划的导游指派问题模型[J]. 统计与决策, 2014, (15): 34- 37.
	GUO X B . A guide assignment problem model based on AHP and 0-1 programming[J]. Statistics and Decision Making, 2014, (15): 34- 37.
23	顾文亚, 孟祥瑞, 陈允杰. 运筹学: 数学规划(上)[M]. 镇江: 江苏大学出版社, 2015.
	GU W Y , MENG X R , CHEN Y J . Operations research: mathematical programming (I)[M]. Zhenjiang: Jiangsu University Press, 2015.
24	郑烨, 王明杰, 樊娟. 基于匈牙利法的企业员工任务分配问题研究[J]. 统计与决策, 2011, (5): 182- 185.
	ZHENG Y , WANG M J , FAN J . Research on task allocation of enterprise employees based on Hungarian law[J]. Statistics and Decision Making, 2011, (5): 182- 185.
25	邓成梁, 黄卫来, 周康. 运筹学的原理和方法[M]. 3版武汉: 华中科技大学出版社, 2014.
	DENG C L , HUANG W L , ZHOU K . Principles and methods of operations research[M]. 3rd ed Wuhan: Huazhong University of Science and Technology Press, 2014.
26	杨明歌, 常水珍. 求解整数规划的割平面法的研究[J]. 洛阳师范学院学报, 2014, 33 (5): 1- 4, 12. doi: 10.3969/j.issn.1009-4970.2014.05.001
	YANG M G , CHANG S Z . Research on cutting plane method for integer programming[J]. Journal of Luoyang Normal University, 2014, 33 (5): 1- 4, 12. doi: 10.3969/j.issn.1009-4970.2014.05.001
27	徐晓辉. 数学建模应用中整数线性规划问题的常用解法初探[J]. 现代职业教育, 2021, (7): 178- 179.
	XU X H . A preliminary study on the common solutions of integer linear programming problems in the application of mathematical modeling[J]. Modern Vocational Education, 2021, (7): 178- 179.
28	仝哲, 张炳江, 李慧. 关于存在多组最优解的整数线性规划问题的割平面法的研究[J]. 数学的实践与认识, 2017, 47 (5): 158- 164.
	TONG Z , ZHANG B J , LI H . Research on cutting plane method for integer linear programming problems with multiple optimal solutions[J]. Practice and Understanding of Mathema-tics, 2017, 47 (5): 158- 164.
29	熊伟. 运筹学[M]. 3版北京: 机械工业出版社, 2014: 81
	XIONG W . Operations research[M]. 3rd ed Beijing: China Machine Press, 2014: 81
30	WAN C Q, XIONG W T, ZHAO Q S, et al. Operation loop based optimization model for resource allocation in defense[C]// Proc. of the Chinese Control and Decision Conference, 2018: 416-421.
31	谭跃进, 张小可, 杨克巍. 武器装备体系网络化描述与建模方法[J]. 系统管理学报, 2012, 21 (6): 781- 786. doi: 10.3969/j.issn.1005-2542.2012.06.009
	TAN Y J , ZHANG X K , YANG K W . Networked description and modeling method of weapon system of systems[J]. Journal of Systems Management, 2012, 21 (6): 781- 786. doi: 10.3969/j.issn.1005-2542.2012.06.009
32	WAN C Q . Optimization model for resource allocation to military countermeasures versus probabilistic threat[J]. Applied Sciences, 2018, 8 (2): 368- 396.

任务能力	精确压制能力	精确打击能力	高精度点打击能力	巡飞察打评能力	防空能力
任务性能	0.2	0.2	0.2	0.2	0.2

成本	生产制造成本	使用成本
经济性能	0.8	0.2

任务成本	精确压制成本	精确打击成本	高精度点打击成本	巡飞察打评成本	防空成本
生产制造成本	0.2	0.2	0.3	0.2	0.1

导引头	捷联主动寻的导引头	捷联半主动寻的导引头	平台主动导引头	平台半主动导引头
导引头成本	0.2	0.1	0.4	0.3

IMU	导航用IMU	控制用IMU
IMU成本	0.7	0.3

Optimal design of missile types in missile equipment system based on assignment model

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任务指标	精度指标	射程指标	威力指标
精确压制能力	0.5	0.3	0.2
精确打击能力	0.6	0.2	0.2
高精度点打击能力	0.7	0.2	0.1
巡飞察打评能力	0.3	0.5	0.2
防空能力	0.2	0.5	0.3

舵机	三通道舵机	双通道舵机	单通道舵机
精度指标	0.5	0.3	0.2
射程指标	0.2	0.3	0.5

发动机	超口径高能量增程发动机	超口径低特征信号增程发动机	同口径增速发动机
射程指标	0.5	0.3	0.2

战斗部	聚能破甲战斗部	攻坚战斗部	爆破杀伤战斗部
威力指标	0.3	0.2	0.5

成本指标	精度成本指标	射程成本指标	威力成本指标
精确压制成本	0.5	0.3	0.2
精确打击成本	0.6	0.2	0.2
高精度点打击成本	0.7	0.2	0.1
巡飞察打评成本	0.3	0.5	0.2
防空成本	0.2	0.5	0.3

部件类型	属性	参数值	影响系数
导引头	有效作用距离/km	8	0.8
		9	0.9
		10	1.0
IMU	姿态精度/(°/h)	1	1.0
		2	0.9
		3	0.8
	位置精度/(m/h)	1	1.0
		2	0.9
		3	0.8
舵机	最大舵偏角/(°)	25	0.8
		30	0.9
		35	1.0
	最大舵偏角速度/(°/s)	200	0.8
		225	0.9
		250	1.0
发动机	推力/kN	40	0.8
		45	0.9
		50	1.0
	总冲/(kN·s)	300	0.8
		350	0.9
		400	1.0
战斗部	质量/kg	150	0.8
		175	0.9
		200	1.0

参数	基于作战环的快速求解方法	割平面法	分支定界法
计算求解时间	4.93	78.52	33.68

[1]	Ang GAO, Qisheng GUO, Zhiming DONG, Shaoqing YANG. Research on efficiency evaluation method of multi unmanned ground vehicle system based on EAS+MADRL [J]. Systems Engineering and Electronics, 2021, 43(12): 3643-3651.
[2]	Yueqiang ZHAO, Shi AN, Qiang MAI, Qingyan XU, Yanan GUO. Effectiveness modeling of air defense missile weapon system based on ADC method [J]. Systems Engineering and Electronics, 2020, 42(9): 2003-2012.
[3]	ZHAO Yueqiang1,2, MAI Qiang1, XU Qingyan3. Dependability modeling research of airdefense missile weapon systems [J]. Systems Engineering and Electronics, 2016, 38(12): 2777-2784.
[4]	DUAN Xiusheng, XU Gongguo, SHAN Ganlin. Solution to sensortarget assignment problem based on cooperative#br# memetic adaptive QPSO algorithm [J]. Systems Engineering and Electronics, 2016, 38(12): 2769-2776.
[5]	XING Li-ning, YAO Feng. Learnable genetic algorithm to double-layer CARP optimization problems [J]. Journal of Systems Engineering and Electronics, 2012, 34(6): 1187-1192.
[6]	HUANG Shu-cai, ZHOU Yan-yan, WEI Gang. Operation effectiveness analysis of anti-TBM system with space-based information support [J]. Journal of Systems Engineering and Electronics, 2009, 31(10): 2414-2417.