限量分配问题的一个注记

§1 引言 限量分配问题是古典概率论,组合论的重要内容。本文将文献1]、2]中的一类广泛的限量分配问题给以统一的处理并加以推广,归结为如下问题: 问题Ⅰ 内无序分配问题。给定m类盒和n类球,假定第i类球和第j类盒的个数分别为r_i、s_j(1≤i≤n,1≤j≤m),即所谓球的规格为(?)=(r_1,r_2,…,r_n)和盒的规格为(?)=(s_1,s_2,…,s_m)。已知第i类盒对于球的限量集为A_i(这里A_i∈N_0~t,其中每个元素表示该类盒所能容纳之球的规格,1≤i≤m),记A=(A_1,A_2,…,A_m)。则分配规格为(?)的球至规

A Note on the Distribution Problems with Restricted Sizes

In this paper, we have generalired a class of restricted distribution problems in the literatures 1] , 2] and obtained the generating functions with respect to the related sequences. By intfoducing the concept of pointwise symmetric functions, the calculation of the distribution sequences has been discussed. Finally, some examples are given.