摘要
针对传统动态聚合解聚多分辨率建模仿真面临的链式解聚,一致性维护难,复杂度高,实用性差等问题,提出了一种基于周期驱动的动态聚合解聚多分辨率高效仿真模型.其基本原理是模型的聚合解聚不受控于实体内部的复杂交互,而是以固定的周期为驱动,并允许跨分辨率交互发生,此外,模型力求实现宏观上的一致性,而不去对个体的一致性进行特别关注.介绍了模型的仿真调度机制,建立了参数化聚合解聚形式化模型,分析了模型对体系复杂特征的影响.此外,对模型的可控性(误差和计算复杂度)进行了理论分析,表明了宏观一致性解的存在性,并理论上证明了模型存在且只存在一个单位增益因子,从而简化了求解过程.最后,以武器装备体系为例,在多分辨率架构设计的基础上,对模型可行性和有效性进行了实验验证.研究对于多分辨率建模仿真技术的推广应用具有重要的促进意义.
Since there are a lot of problems of the traditional multi-resolution model and simulation technique such as the chained disaggregation problem,difficult consistence maintenance problem,high complexity and poor practicability,this paper propose a cycle drive dynamic aggregation and disaggregation(AD) multi-resolution(CADMR) simulation model.The AD operation is not controlled by the entities' complex interaction process but is by the fixed cycle,besides,cross resolution communications are allowed and the model aims to achieve the macro consistence instead of the micro consistence.Introduces the simulation and schedule mechanism,builds the formalized equation,and then the effect of this model to the characters of the system of systems is analyzed.Besides,the controllable character(error and computation complexity) of this model is proved theoretically and the existence of the macro consistence solution is also proved,at the same time,the unity-gain factor is existent and is only one,for which the solving process is simplified.Lastly,taking the weapon SoS as example and based on its multi resolution framework,the feasibility and validation of the model is verified with experimental confirmation.The model has an important promotion meaning for the popular application of the multi-resolution model and simulation technology.
引文
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1.文献[17]将聚合函数称为聚合映射,将解聚函数称为解聚映射,但单凭聚合解聚函数不可能实现个体的一致,我们的改进之处在于加入了增益因子δ,通过控制δ来平衡某种程度上损失的模型一致性.
2.需要说明的是,极端情况下,即当δ=0时,可知解聚后的实体数目为0,即AD变化无限减弱了体系,当δ=1时,解聚后的实体总数保持不变,而当δ>1时,解聚后实体数目为(?)_i(t)=δm_i(t-T/2)>m_i(t-T/2),即AD变化增强了体系.
3.λ的理论值是1,但从实验经验得知,当M大于一定的数值时,将会出现co随λ增加而减小的现象,因此,可令λ分别为0.8,0.9,1,综合误差以及仿真效率确定最终的组合.
