摘要
讨论了席位分配问题的已有方法与H.P.Y oung公理体系中公理4之间的关系.通过数据算例指出已有方法都不能使公理4与极差最小同时满足.据此,我们建立了在满足公理4的前提下的最小极差法.
This paper discusses the relationship between the presented methods for seats distribution problem and the forth theory that set up by H. P. Young. Through a large number of numerical experiments, we find that all the presented methods can't satisfy both the forth theory and the minimum differences of poles. According to this, we set up a method called minimum differences of poles based on the forth theory.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第4期83-87,共5页
Mathematics in Practice and Theory
关键词
席位分配
最小极差
公理体系
相对公平
算法
seats distribution
minimum differences of poles
the system of theories
fair relatively