Grey modeling method for approximate exponential sequence of optimizing initial condition

Yun YUE; Guangyue LU

doi:10.11959/j.issn.1000-0801.2016279

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Grey modeling method for approximate exponential sequence of optimizing initial condition

research and development | 更新时间：2024-06-05

- Grey modeling method for approximate exponential sequence of optimizing initial condition
- Telecommunications Science Vol. 32, Issue 11, Pages: 64-70(2016)
- 作者机构：
- 作者简介：
- 基金信息：
- DOI：10.11959/j.issn.1000-0801.2016279
  CLC： TP391
- Published Online：2016-11，
  
  Published：20 November 2016
- 稿件说明：
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Yun YUE, Guangyue LU. Grey modeling method for approximate exponential sequence of optimizing initial condition[J]. Telecommunications science, 2016, 32(11): 64-70.
DOI：

Yun YUE, Guangyue LU. Grey modeling method for approximate exponential sequence of optimizing initial condition[J]. Telecommunications science, 2016, 32(11): 64-70. DOI： 10.11959/j.issn.1000-0801.2016279.

摘要

灰色GM（1

1）预测方法仅针对累加生成满足近似指数特点的原始序列建立预测模型。为了拓宽传统灰色预测模型的应用范围，设计了通过优化初始条件提高灰色 GM（1

1）预测精度的新方法——DGM（1

β）模型。对满足近似指数的原始序列建立DGM（1

β）模型，利用粒子群算法求解模型参数。最后，通过实例验证了所提出的DGM（1

β）预测模型的有效性和实用性。

Abstract

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

β）model（direct grey model）

was proposed to improve the accuracy of grey GM（1

1）prediction by optimizing initial conditions.DGM（1

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.

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references

吴利丰，刘思峰，姚立根 . 含 Caputo型分数阶导数的灰色预测模型 [J ] . 系统工程理论与实践， 2015 ( 5 ): 1311 - 1316 .

WU L F , LIU S F , YAO L G . Grey model with Caputo fractional order derivative [J ] . Systems Engineering Theory＆Practice , 2015 ( 5 ): 1311 - 1316 .

秦龙龙 . 面向服务选取的QoS评价技术的研究 [D ] . 东营：中国石油大学（华东）， 2013 .

QIN L L . A study on technologies of QoS evaluation oriented service selection [D ] . Dongying:China University of Petroleum（East China） , 2013 .

ZHAO Y , ZHAO S . Optimization background value GM（1,1）model for predicting oil-gas production cost [C ] // 2012 9th IEEE International Conference on Fuzzy Systems and Knowledge Discovery（FSKD） , May 29 - 31 , 2012 , Chongqing,China . New Jersey : IEEE Press , 2012 : 1528 - 1531 .

杨善林，王晓佳，杨昌辉，等 . 一种基于组合插值的 GM（1,1）模型预测方法：CN,CN 103324821 A [P ] . 2013 : 01 - 23 .

YANG S L , WANG X J , YANG C H , et al . A GM（1,1）model prediction method based on combinative interpolation:CN,CN 103324821 A [P ] . 2013 : 01 - 23 .

谭冠军，檀甲友，王加阳 . 灰色系统预测模型 GM（1,1）背景值重构研究 [J ] . 数学的实践与认识， 2015 ( 15 ): 267 - 273 .

TAN G J , TAN J Y , WANG J Y . The reestablishing research of background value in grey system forecast model GM（1,1） [J ] . Mathematics in Practice and Theory , 2015 ( 15 ): 267 - 273 .

李玻，魏勇 . 优化灰导数后的新 GM（1,1）模型 [J ] . 系统工程理论与实践， 2009 , 29 ( 2 ).

LI B , WEI Y . Optimizes grey derivative of GM（1,1） [J ] . Systems Engineering Theory＆Practice , 2009 , 29 ( 2 ).

张彬，西桂权 . 基于背景值和边值修正的 GM（1,1）模型优化 [J ] . 系统工程理论与实践， 2013 , 33 ( 3 ): 682 - 688 .

ZHANG B , XI C Q . GM（1,1）model optimization based on the background value and boundary value correction [J ] . Systems Engineering Theory＆Practice , 2013 , 33 ( 3 ): 682 - 688 .

DANG Y G , LIU S F , LIU S , et al . The GM models that x～（（1））（n）be taken as initial value [J ] . Chinese Journal of Management Science , 2005 , 13 ( 1 ): 132 - 135 .

WANG Y H , DANG Y G , LIU S F . An approach to increase prediction precision of GM（1,1）model based on optimization of the initial condition [J ] . Expert Systems with Applications , 2010 , 37 ( 8 ): 5640 - 5644 .

卢懿 . 灰色预测模型的研究及其应用 [D ] . 杭州：浙江理工大学， 2014 .

LU Y . The research and application of grey forecast model [D ] . Hangzhou:Zhejiang Sci-tech University , 2014 .

陈志敏，薄煜明，吴盘龙 . 基于自适应粒子群优化的新型粒子滤波在目标跟踪中的应用 [J ] . 控制与决策， 2013 , 28 ( 2 ): 193 - 200 .

CHEN Z M , BO Y M , WU P L , et al . Novel particle filter algorithm based on adaptive particle swarm optimization and its application to radar target tracking [J ] . Control and Decision , 2013 , 28 ( 2 ): 193 - 200 .

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