【摘要】 对席位分配问题进行再研究,以公平分摊性公理为基础,分别从议员公平性、公民公平性和州公平性的角度出发建立了三个相应的数学模型,它们都可归结为有界整数变量非线性规划模型.给出三个席位分配模型的一个统一算法,算法简单有效.最后给出了模型应用实例.更多还原

【Abstract】 On the basis of the fair shares axiom,the problem of seat apportionment was researched,and three corresponding mathematical models that all can be summed up as the bounded integral variable nonlinear programming models were established from the view of fairness for congressman,citizens and states,respectively.Furthermore,a unified algorithm for three seat apportionment models was given,which is effective and simple.Finally,the appling cases of these models were given.更多还原