排列组合中一类分组分配问题的统一球盒模型

An Uniform Ball-Box Model about a Class of Group Division and Assignment Problem in Permutation and Combination

本文研究了排列组合中一类分组分配问题,形式化成三个球盒模型,引入三个符号既表示这三种模型又表示模型对应的方案数.三模型可以统一快捷地解答平均分组和不定向分配等问题,为实际应用的分析理解和解答带来方便.

A class of group division and assignment problem in permutation and combination is studied and formalized as three ball-box models in this paper. Three symbols are introduced to represent these three models and the number of corresponding solutions of each model. Average packet and undirectional distribution can be solved with these three models uniformly and efficiently, and these three models bring convenience to analysis and solution of the practical application.