平衡区组设计(BBD)——处理复杂系统的新思维系列之十二

The Balanced Block Design(BBD) ——New Thinking of Dealing with Complex Systems Series Twelve

本系列论文基于《多边矩阵理论》,由东方整体性思维所启迪,试图提供并完善一套从整体到局部处理复杂系统多指标问题、非均匀性问题、非线性问题的强有力的数学工具,并对其进行严格的理论推导和证明。作为系列论文的第十二篇,提出了重复度、相遇度和平衡区组设计(BBD)的定义,探讨了平衡区组设计的三个优良性质,并给出了两个具体实例。

This series of articles, based on＂Multilateral Matrix Theory＂ and inspired by the Eastern holistic thinking, are trying to provide and improve a whole set of powerful mathematical tools to handle multi-target local issues, non-uniformity problems and nonliner problems of complex system ranging from the whole to the part with rigorous theoretical analysis and proof. As the twelfth paper of the series, this paper brings forward the definitions of repeatability, meet degree and the balanced block design （BBD）, discusses three excellent properties of the balanced block design and also gives two specific examples.