多指标席位分配模型及其应用

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。

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

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.