基于x^2拟合优度检验的席位公平分配模型  

A fair apportioning seats model based on chi square goodness of fit test

作　　者：王若鹏[1] 徐红敏[1] 

机构地区：[1]北京石油化工学院数理系,北京102617

出　　处：《系统工程理论与实践》2014年第7期1732-1738,共7页Systems Engineering-Theory & Practice

基　　金：北京市自然科学基金(4082012);北京市属高等学校人才强教计划(IHLB)

摘　　要：针对社会生活中的资源合理分配问题,利用数理统计中的x^2拟合优度检验法,建立了席位公平合理分配的数学模型,讨论了公平分配标准的若干条性质,证明了分配方法满足多条理想化公理,并给出了不违反公平分摊性公理的充分条件.仿真实验与多种分配方法进行了比较,结果显示了该方法的合理性和可操作性.提出的标准量可用于多种资源的合理分配问题.Abstract The method of chi square criterion of mathematical statistics is used and a model of fair apportioning seats is proposed. The properties of apportionment method are discussed, and the method satisfies several idealized principles. A sufficient condition is given about violating fair share principle. The experimental results show clearly that this chi square goodness of fit applies reasonable and operable widely in just allocation of resources.

关 键 词：席位公平分配 x2拟合优度 标准量 

分 类 号：F270[经济管理—企业管理]