中国工程科学2012，Vol.14Issue(7)：98-102,5.
非等间距GM(1,1)幂模型及其工程应用
Non-equidistant GM( 1,1) power model and its application in engineering
摘要
Abstract
Aiming at the problem of modeling for non-equidistant sequence, the non-equidistant GM( 1,1) power model was proposed. A non-linear optimization model is constructed with the objective of minimum average relative error, the constraints of relationships between parameters in order to optimize the power exponent and the background value. The results showed that the form of non-equidistant GM( 1,1) power model was more flexible than the traditional ones. Both non-equidistant GM( 1,1) model and Grey Verhulst model were the special cases of non-equidistant GM (1,1) power model. Optimization of power exponent helped to improve modeling accuracy. Finally, an engineering example of non-equidistant sequence shows modeling accuracy in traditional modeling, which was significantly improved by non-equidistant GM(1,1) power model.关键词
灰色系统/非等间距序列/GM(1,1)幂模型/参数优化Key words
grey system/ non-equidistant sequence/ GM(1,1) power model/ parameter optimization分类
自科综合引用本文复制引用
王正新,党耀国,刘思峰..非等间距GM(1,1)幂模型及其工程应用[J].中国工程科学,2012,14(7):98-102,5.基金项目
国家自然科学基金项目(71101132,71071077) （71101132,71071077）
