基于Whittaker修匀的多目标修匀模型  

A Multi-objectives Graduation Model Based on Whittaker Graduation

作　　者：姜昱汐[1] 潘少华[2] 李兴斯[3] 

机构地区：[1]大连交通大学管理学院,辽宁大连116028 [2]华南理工大学数学科学学院,广东广州510640 [3]大连理工大学数学科学学院,辽宁大连116023

出　　处：《运筹与管理》2012年第3期33-38,共6页Operations Research and Management Science

基　　金：国家自然科学基金项目(10901058);国家软科学研究计划项目(2010GXS5D191);辽宁省高校创新团队项目(WT2010004);辽宁省社科基金资助项目(L07DJY064)

摘　　要：本文基于Whittaker修匀,提出了一个新的死亡率修匀模型,并采用该模型对两组不同年龄段人群的死亡率进行了修匀计算。该模型的优点一是模型可保证修匀结果的光滑度和拟合度。二是模型具有普遍适用性,可适用于不同年龄段人群的修匀。三是解决了Whittaker修匀中需要主观选取拟合算子和光滑算子之间组合系数的难题。四是解决了Whittaker修匀模型拟合算子中权重选取的难题。五是通过熵正则化法和中心法,将模型转化为一个单目标的凸规划模型,保证了模型计算的可行性。Based on Whittaker graduation method, this paper presents a new mortality graduation model. The two samples are graduated for the people with different age ranges. The advantages of the model are as follows. Firstly, the graduation results are good in smoothness and fitness. Secondly, the model is suitable for the people with different age ranges. Thirdly, the subjective effect is eliminated in selecting the coefficients between fitness and smoothness factors. Fourthly, the problem of how to determine the weights in the fitness factor is solved. Fifthly, based on the entropy regularization and center methods, the multi-objectives model is transformed to a single objective convex optimization model. Therefore, it is feasible in numerical calculation.

关 键 词：多目标优化 熵正则化方法 中心法 死亡率修匀 

分 类 号：B224.3[哲学宗教—中国哲学]