| 席位分配问题的有界整数变量规划模型及其应用 |
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| 引用本文： | 张华,杨益民,付必胜.席位分配问题的有界整数变量规划模型及其应用[J].数学的实践与认识,2010,40(20). |
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| 作者姓名： | 张华 杨益民 付必胜 |
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| 作者单位： | 北京工商大学数理系;广东南海广播电视大学; |
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| 基金项目： | 北京市高科技创新平台项目 |
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| 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.
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| 关 键 词： | 席位分配模型 公平分摊性公理 有界整数变量非线性规划 |
The Bounded Integral Variable Nonlinear Programming Models of Seat Apportionment and its application |
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| ZHANG Hua,YANG Yi-min,Fu Bi-sheng.The Bounded Integral Variable Nonlinear Programming Models of Seat Apportionment and its application[J].Mathematics in Practice and Theory,2010,40(20). |
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| Authors: | ZHANG Hua YANG Yi-min Fu Bi-sheng |
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| Institution: | ZHANG Hua,YANG Yi-min,Pu Bi-sheng~2 (Department of Mathematics and Physics,Beijing Technology and Business University 100087,China) (Open university of Nanhai,Guangdong 528200,China) |
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| 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. |
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| Keywords: | the seat apportionment model the fair shares axiom bounded integral variable non-linear programming |
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