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

摘要/Abstract

摘要：

针对体系作战中多弹种协同完成多类型作战任务的需求, 建立了以导弹装备体系效能为引导的弹种优化设计结构框架, 以综合考虑任务、成本和风险影响因素的装备体系效能最优为目标, 构建了指派模型, 并给出了该模型的约束条件。针对该优化问题的可行解空间较大、计算时间较长的特点, 设计了基于作战环的模型快速求解方法, 以加快设计过程。算例分析结果表明: 该指派模型能够实现导弹装备体系中最优弹种设计方案的求解, 同时引入作战环可以极大地缩小可行域, 从而显著提高设计计算效率。

关键词: 弹族化设计, 体系效能, 指派模型, 组合优化, 作战环

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

中图分类号:

V221
V37

郭斐然, 于剑桥, 宋豹. 基于指派模型的导弹装备体系弹种优化设计[J]. 系统工程与电子技术, 2022, 44(3): 850-862.

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.

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表16

表17

表18

采用基于作战环的快速求解方法得到的最优弹种组合及参数值和相应体系效能绝对贡献度"

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

表18

表19

表20

采用分支定界法得到的最优弹种组合及参数值和相应体系效能绝对贡献度"

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

表20

表21

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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