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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Format: | Article |
Language: | zho |
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Beijing Xintong Media Co., Ltd
2016-11-01
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Series: | Dianxin kexue |
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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 |