基于多层级使命任务线程的总体任务成功性评估

doi:10.12305/j.issn.1001-506X.2024.02.25

摘要/Abstract

摘要：

针对当前装备体系(system of systems, SoS)任务建模研究深入程度不足问题, 提出装备SoS使命任务的概念模型和描述模型, 在此基础上, 首先对各层级任务的任务线程进行分析与规划, 改进传统Petri网, 提出一种基于层次确定与随机Petri网(hierarchical deterministic and stochastic Petri nets, HDSPN)的装备SoS任务线程建模方法, 构建面向多层级使命任务的装备SoS任务线程模型。然后, 结合基于可达性分析算法(reachability analysis algorithm, RAA)的装备SoS总体任务成功性仿真评估算法, 启动仿真模型运行, 实现对装备SoS总体任务成功性的有效评估, 并通过案例分析, 验证了模型的适用性。

关键词: 装备体系, 任务成功性评估, 任务线程建模, 层次确定与随机Petri网

Abstract:

Aiming at the problem of insufficient research on mission modeling of the equipment system of systems (SoS), the concept model and description model of missions of the equipment SoS are proposed. On this basis, mission threads of each level is analyzed and planned and a modeling method of mission threads of the equipment SoS based on hierarchical deterministic and stochastic Petri nets (HDSPN) is proposed by improving traditional Petri nets. A multi-level mission-oriented mission thread model of equipment SoS is constructed. Then, combined with the simulation evaluation algorithm of the overall mission success of the equipment SoS based on reachability analysis algorithm (RAA), the simulation model is started to run to realize the effective evaluation of the overall mission success of the equipment SoS. The applicability of the model is verified through the case study.

Key words: equipment system of systems (SoS), mission success evaluation, mission thread modeling, hierarchical deterministic and stochastic Petri nets (HDSPN)

中图分类号:

丛林虎, 陈宇奇, 陈黎明, 陈育良, 王朝. 基于多层级使命任务线程的总体任务成功性评估[J]. 系统工程与电子技术, 2024, 46(2): 616-630.

Linhu CONG, Yuqi CHEN, Liming CHEN, Yuliang CHEN, Chao WANG. Overall evaluation of mission success of SoS based on HDSPN[J]. Systems Engineering and Electronics, 2024, 46(2): 616-630.

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装备系统名称	功能类型
装备系统名称	指挥控制	战场感知	机动	火力	通信
侦察机S₁	-	F₁¹	F₂¹	-	F₃¹
舰船S₂	F₁²	-	F₂²	F₃²	F₄²
舰船S₃	-	-	F₁³	F₂³	F₃³
无人机S₄	-	F₁⁴	F₂⁴	-	F₃⁴
无人机S₅	-	F₁⁵	F₂⁵	-	F₃⁵
无人机S₆	-	F₁⁶	F₂⁶	-	F₃⁶
无人机S₇	-	F₁⁷	F₂⁷	-	F₃⁷

行动名称	持续时间/h	行动内容	装备系统	作战能力	行动要求
Operation₁	1.5	进行进攻准备工作, 对敌目标进行搜索探测, 收集相关情报并进行处理, 制定作战计划并下达	S₁; S₂; S₃	情报搜索能力C₁¹; 指挥决策能力C₂¹	D₁^O₁=90; D₂^O₁=80
Operation₂	2.5	对敌目标进行探测追踪并实施火力打击, 摧毁敌西侧作战力量	S₂; S₄; S₅	警戒侦察能力C₁²; 火力毁伤能力C₂²; 快速机动能力C₃²	D₁^O₂=80;D₂^O₂=75; D₃^O₂=80
Operation₃	2.5	对敌目标进行探测追踪并实施火力打击, 摧毁敌东侧作战力量	S₃(S₂); S₆; S₇	警戒侦察能力C₁³; 火力毁伤能力C₂³; 快速机动能力C₃³	D₁^O₃=85;D₂^O₃=90; D₃^O₃=80
Operation₄	3.0	对敌残余作战力量进行探测追踪并实施火力摧毁	S₂; S₄; S₅	警戒侦察能力C₁⁴; 火力毁伤能力C₂⁴; 快速机动能力C₃⁴	D₁^O₄=80;D₂^O₄=90; D₃^O₄=60
Operation₅	3.0	对敌残余作战力量进行探测追踪并实施火力摧毁	S₃; S₆; S₇	警戒侦察能力C₁⁵; 火力毁伤能力C₂⁵; 快速机动能力C₃⁵	D₁^O₅=80;D₂^O₅=90; D₃^O₅=60

作战任务	任务时间/h	执行功能模块	任务要求
Task₁¹	0~1	F₁¹	D₁^T₁¹=80
Task₁¹	0~1	F₂¹	D₂^T₁¹=90
Task₂¹	0~1	F₃¹	D₁^T₂¹=80
Task₂¹	0~1	F₄²	D₂^T₂¹=80
Task₃¹	1~1.5	F₁²	D₁^T₃¹=90
Task₄¹	1~1.5	F₄²	D₁^T₄¹=90
Task₄¹	1~1.5	F₃³	D₂^T₄¹=90
Task₁²	1.5~4	F₁⁴	D₁^T₁²=75
		F₂⁴	D₂^T₁²=70
		F₃⁴	D₃^T₁²=100
Task₂²	1.5~4	F₁⁵	D₁^T₂²=75
		F₂⁵	D₂^T₂²=70
		F₃⁵	D₃^T₂²=100
Task₃²	1.5~4	F₂²	D₁^T₃²=60
		F₃²	D₂^T₃²=80
		F₄²	D₃^T₃²=60
Task₁³	1.5~4	F₁⁶	D₁^T₁³=55
		F₂⁶	D₂^T₁³=50
		F₃⁶	D₃^T₁³=80
Task₂³	1.5~4	F₁⁷	D₁^T₂³=55
		F₂⁷	D₂^T₂³=50
		F₃⁷	D₃^T₂³=80
Task₃³	1.5~4	F₁³(F₂²)	D₁^T₃³=60
		F₂³(F₃²)	D₂^T₃³=100
		F₃³(F₄²)	D₃^T₃³=75
Task₁⁴	4~7	F₁⁴	DD₁^T₁⁴=50
		F₂⁴	DD₂^T₁⁴=60
		F₃⁴	DD₃^T₁⁴=80
Task₂⁴	4~7	F₁⁵	DD₁^T₂⁴=50
		F₂⁵	DD₂^T₂⁴=60
		F₃⁵	D₃^T₂⁴=80
Task₃⁴	4~7	F₂²	DD₁^T₃⁴=75
		F₃²	DD₂^T₃⁴=90
		F₄²	DD₃^T₃⁴=60
Task₁⁵	4~7	F₁⁶	D₁^T₁⁵=50
		F₂⁶	D₂^T₁⁵=60
		F₃⁶	D₃^T₁⁵=80
Task₂⁵	4~7	F₁⁷	D₁^T₂⁵=50
		F₂⁷	D₂^T₂⁵=60
		F₃⁷	D₃^T₂⁵=80
Task₃⁵	4~7	F₁³	D₁^T₃⁵=75
		F₂³	D₂^T₃⁵=90
		F₃³	D₃^T₃⁵=60

装备系统	功能模块	运行性能水平				瞬时状态转移强度(×10^－4)/h
装备系统	功能模块	g_F¹	g_F²	g_F³	g_F⁴	λ_F^{1, 2}	λ_F^{1, 3}	λ_F^{1, 4}	λ_F^{2, 3}	λ_F^{2, 4}	λ_F^{3, 4}
S₁	F₁¹	100	75	50	0	5.52	5.32	5.45	5.65	6.05	5.68
	F₂¹	100	60	0	-	6.35	5.80	-	6.50	-	-
	F₃¹	100	70	0	-	5.21	4.53	-	5.53	-	-
S₂	F₁²	100	0	-	-	1.96	-	-	-	-	-
	F₂²	100	75	0	-	6.52	5.81	-	6.87	-	-
	F₃²	100	50	0	-	6.45	6.25	-	6.95	-	-
	F₄²	100	60	0	-	6.85	6.65	-	7.15	-	-
S₃	F₁³	100	65	0	-	6.45	5.25	-	6.75	-	-
	F₂³	100	0	-	-	7.25	-	-	-	-	-
	F₃³	100	80	0	-	5.25	4.85	-	6.12	-	-
S₄	F₁⁴	100	80	50	0	6.23	6.42	6.55	5.96	5.87	6.15
	F₂⁴	100	65	0	-	6.42	5.95	-	6.75	-	-
	F₃⁴	100	0	-	-	4.52	-	-	-	-	-
S₅	F₁⁵	100	80	50	0	6.23	6.42	6.55	5.96	5.87	6.15
	F₂⁵	100	65	0	-	6.42	5.95	-	6.75	-	-
	F₃⁵	100	0	-	-	4.52	-	-	-	-	-
S₆	F₁⁶	100	55	0	-	6.12	5.85	-	6.32	-	-
	F₂⁶	100	60	0	-	5.98	5.72	-	6.65	-	-
	F₃⁶	100	0	-	-	5.85	-	-	-	-	-
S₇	F₁⁷	100	55	0	-	6.12	5.85	-	6.32	-	-
	F₂⁷	100	60	0	-	5.98	5.72	-	6.65	-	-
	F₃⁷	100	0	-	-	5.85	-	-	-	-	-

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