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多指标席位分配模型及其应用

The Seat Apportionment Model with the Multi-indicators and Its Application

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【作者】 付必胜杨益民张华

【Author】 FU Bi-sheng~1 YANG Yi-min~2 ZHANG Hua~2 (1.Open university of Nanhai,Guangdong Nanhai 528200,China,2.Department of Mathematics and Physics,Beijing Technology and Business University,Beijing 100087,China)

【机构】 广东南海广播电视大学北京工商大学数理系

【摘要】 将经典席位分配模型推广,建立了多指标席位分配模型,它是一个有界整数变量非线性规划模型。将模型转化为非线性连续规划模型,因而可用各种具有良好收敛性和收敛速度的求解非线性连续规划的算法求解。给出多指标席位分配模型的一个简单有效的算法。最后实例说明多指标席位分配模型应用更加合理、更加广泛。

【Abstract】 The classic seat apportionment model was generalized,the seat apportionment model with the multi-indicators was established and it can be summed up as the bounded integral variable nonlinear programming model.The model can be transformed into a non-linear continuous programming model, therefore can be solved by many algorithms with good convergence and convergent rate.Furthermore, a algorithm for the model was given,which is effective and simple.Finally,the case shows clearly that this multi-indicators model applise more reasonably and widely.

  • 【文献出处】 数理统计与管理 ,Application of Statistics and Management , 编辑部邮箱 ,2009年04期
  • 【分类号】O221.2
  • 【被引频次】4
  • 【下载频次】915
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