Question

数学模型的席位分配问题一类

在很多三方谈判过程中，进行议案表决时实行的是过半数通过方案，如果现在总席位数为499个，在任何一方都不能操纵表决的条件下，三方所占的席位的上下限各为多少？

Answer 1

不能解决不公平的大小问题,Q值法不能解决“分配资格”问题.基于此,提出了“分配资格”这一概念,并将D'Hondt法和Q值法结合起来,建立了D'Hondt+Q值法”席位分配模型.实例表明,该分配模型使席位分配更趋合理. 关键词：席位分配；相对不公平；分配资格；数学模型 分类号：P141.4 文献标识码：A 文章编号：1000-9752(2001)01-0084-03 “D'Hondt--Q-Value Method” Seat Distribution Model Sun Yu-qiu（Jianghan petroleum Institute,Jingzhou 434102） Abstract：With the studying of seat distribution model,some defects are found in proportional distribution method, the size problem of unequality can't be solved with D'Hondt and the problem of “distributive qualification” can't be solved with Q-value. On the basis of the study, a concept of “distributive qualification” is proposed. A seat model of D'Hondt -Q-Value is established in combination with these two methods. Case study shows it is reasonable for seat distribution with the model. Keywords：seat distribution; relative inequality; distributive qualification; mathematical model 作者简介：孙玉秋(1968-),女,1991年大学毕业,讲师,现主要从事大学数学教学与研究. 作者单位：孙玉秋（江汉石油学院理学院,湖北 荆州 434102） 参考文献： 〔1〕Huntley I 1D,James 1D J G.Mathematical Modelling [M] .C)xford: Oxford University Press,1990. 〔2〕Frederic Y M W.Mathematical Models and Their Analysis [M] .New York: Harper & Row Publishers,1989