Grey modeling method for approximate exponential sequence of optimizing initial condition

Grey GM(1,1)prediction method is only suitable for the prediction model of the original sequence which satisfies the characteristic of the approximate exponential through the accumulated generating operation.In order to widen the application range of the traditional grey prediction model,a new metho...

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Main Authors: Yun YUE, Guangyue LU
Format: Article
Language:zho
Published: Beijing Xintong Media Co., Ltd 2016-11-01
Series:Dianxin kexue
Subjects:
Online Access:http://www.telecomsci.com/zh/article/doi/10.11959/j.issn.1000-0801.2016279/
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author Yun YUE
Guangyue LU
author_facet Yun YUE
Guangyue LU
author_sort Yun YUE
collection DOAJ
description Grey GM(1,1)prediction method is only suitable for the prediction model of the original sequence which satisfies the characteristic of the approximate exponential through the accumulated generating operation.In order to widen the application range of the traditional grey prediction model,a new method,dubbed DGM(1,1,c,β)model(direct grey model),was proposed to improve the accuracy of grey GM(1,1)prediction by optimizing initial conditions.DGM(1,1,c,β)model was established for the original sequence conforming to the approximate exponential and the model parameters were obtained by the particle swarm optimization algorithm.Both the simulation and analysis of the example demonstrate that the proposed method is more effective and practical.
format Article
id doaj-art-1215602873524c71aad3da9593ab9ba8
institution Kabale University
issn 1000-0801
language zho
publishDate 2016-11-01
publisher Beijing Xintong Media Co., Ltd
record_format Article
series Dianxin kexue
spelling doaj-art-1215602873524c71aad3da9593ab9ba82025-01-15T03:13:53ZzhoBeijing Xintong Media Co., LtdDianxin kexue1000-08012016-11-0132647059605986Grey modeling method for approximate exponential sequence of optimizing initial conditionYun YUEGuangyue LUGrey GM(1,1)prediction method is only suitable for the prediction model of the original sequence which satisfies the characteristic of the approximate exponential through the accumulated generating operation.In order to widen the application range of the traditional grey prediction model,a new method,dubbed DGM(1,1,c,β)model(direct grey model),was proposed to improve the accuracy of grey GM(1,1)prediction by optimizing initial conditions.DGM(1,1,c,β)model was established for the original sequence conforming to the approximate exponential and the model parameters were obtained by the particle swarm optimization algorithm.Both the simulation and analysis of the example demonstrate that the proposed method is more effective and practical.http://www.telecomsci.com/zh/article/doi/10.11959/j.issn.1000-0801.2016279/grey GM(1,1)modelinitial conditionPSO algorithmDGM(1,1,c,β)model
spellingShingle Yun YUE
Guangyue LU
Grey modeling method for approximate exponential sequence of optimizing initial condition
Dianxin kexue
grey GM(1,1)model
initial condition
PSO algorithm
DGM(1,1,c,β)model
title Grey modeling method for approximate exponential sequence of optimizing initial condition
title_full Grey modeling method for approximate exponential sequence of optimizing initial condition
title_fullStr Grey modeling method for approximate exponential sequence of optimizing initial condition
title_full_unstemmed Grey modeling method for approximate exponential sequence of optimizing initial condition
title_short Grey modeling method for approximate exponential sequence of optimizing initial condition
title_sort grey modeling method for approximate exponential sequence of optimizing initial condition
topic grey GM(1,1)model
initial condition
PSO algorithm
DGM(1,1,c,β)model
url http://www.telecomsci.com/zh/article/doi/10.11959/j.issn.1000-0801.2016279/
work_keys_str_mv AT yunyue greymodelingmethodforapproximateexponentialsequenceofoptimizinginitialcondition
AT guangyuelu greymodelingmethodforapproximateexponentialsequenceofoptimizinginitialcondition