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席位分配问题的一种新算法
引用本文:贺明峰,陈俐羽,于柄林. 席位分配问题的一种新算法[J]. 数学的实践与认识, 2007, 37(4): 83-87
作者姓名:贺明峰  陈俐羽  于柄林
作者单位:1. 大连理工大学应用数学系,辽宁,大连,116023;大连理工大学大学生创新院,辽宁,大连,116023
2. 大连理工大学大学生创新院,辽宁,大连,116023
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.

关 键 词:席位分配  最小极差  公理体系  相对公平
修稿时间:2005-05-23

A New Method For Seats Distribution Problem
HE Ming-feng,CHEN Li-yu,YU Bing-lin. A New Method For Seats Distribution Problem[J]. Mathematics in Practice and Theory, 2007, 37(4): 83-87
Authors:HE Ming-feng  CHEN Li-yu  YU Bing-lin
Abstract:
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.
Keywords:seats distribution  minimum differences of poles  the system of theories  fair relatively
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