摘要
为深入研究军队武器装备编制的特点和规律,以美国某一历史时期陆军为例,利用分形理论中信息维数定义,建立了直升机、坦克和步战车等编制的δ-覆盖,测定和检验了编制结构的信息维数,从而定量验证了军队武器装备编制具有分形结构的根本性问题,提出了编制结构信息维数的计算方法。研究表明,军队武器装备编制是一个复杂系统,利用分形维数可以定量说明其结构的自相似性,为进一步研究编制方案的合理性提供了思路。
Aiming at exploring the characteristics and internal laws of armament organization, taking the United States Army armament organization in a historic period for example and using the definition dimension in the fractal theory, this paper sets a δ-covering of major armaments as helicopters, tanks and infantry fighting vehicles of the United States Army during that period. Thus, with the information dimensions of the three types of armament organization determined and checked out respectively, this paper quantitatively verifies the conjecture that the armament organization is of fractal structure and suggests a mathematical method to achieve the figures of the information dimension. It shows that information dimension can quantitatively illustrate the complex armament organization＇s similarities within itself. This paper provides an approach to improve the reasonability of armament organization.
出处
《复杂系统与复杂性科学》
EI
CSCD
北大核心
2015年第4期79-83,共5页
Complex Systems and Complexity Science
关键词
武器装备编制
分形结构
信息维数
验证方法
armament organization
fractal structure
information dimension
verification method
