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Application of Renewal Gray GM (1,1) Model to Prediction of Landslide Deformation 被引量:1
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作者 Zhaoyang Wang 《Journal of Geoscience and Environment Protection》 2017年第9期148-154,共7页
The gray renewal GM (1,1) landslide prediction model was established by improving the gray model. Based on the established model, the author has made prediction of landslide deformation to the Xiangjiapo landslide and... The gray renewal GM (1,1) landslide prediction model was established by improving the gray model. Based on the established model, the author has made prediction of landslide deformation to the Xiangjiapo landslide and the Lianziya dangerous rock body. The results show that the gray renewal GM (1,1) model can supplement the new information in time and remove the old information which reduces the meaning of the information because of time lapse. Therefore, the model is closer to reality. 展开更多
关键词 LANDSLIDE RENEWAL gray gm (1 1) model gray System THEORY
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Study on soil erosion dynamics in typical regionof southern China based on remote sensing, GISand gray forecast model 被引量:1
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作者 ZHANG Jia-hua YAO Feng-met Chang-yao(START, InstitUte of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029)(Beijing Forestry University, Beliing 100083)(InstitUte of Remote Sensing Application, Chinese Academy of Sciences, Beijing 100101, China) 《Journal of Geographical Sciences》 SCIE CSCD 1999年第4期387-393,共7页
This paper StUdies soil erosion dynamics in the typical region of southem China based onremote sensing, GIS tecndques and gray forecast model. The resultS of survey on Xingguo countyshown the soil eroded area and annu... This paper StUdies soil erosion dynamics in the typical region of southem China based onremote sensing, GIS tecndques and gray forecast model. The resultS of survey on Xingguo countyshown the soil eroded area and annual soil erosion amount decreased by 19.09% and 43.05%reSPectively from 1958 to 1988. The results of gray forecast model presented that soil eroded areaincreased from 818.04 km2 in 1988 to 1276.69 km2 in 1995. in the meanthne the total soil erosiollamount decreased from 607.21×104 ba in 1988 to 472. 12 ×104 t/a in 1995. By comparing differentlanduse types, the soil loss modulus of the forest was the lowest with 177. 16~187.75t/km2. a, on thecontraly the bare land was the highest with 10626.76~11265.48 t/km2. a. so the high vegetationcoverage can decrease soil and water loss effectively. 展开更多
关键词 soil erosion dynamics. remote sensing. GIS gray forecast model southern China
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Application of Gray Metabolic GM (1,1) Model in Prediction of Annual Total Yields of Chinese Aquatic Products
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作者 Songqian HUANG Weimin WANG +2 位作者 Cong ZENG Shuang HAO Xiaojuan CAO 《Asian Agricultural Research》 2013年第3期21-25,共5页
To predict the annual total yields of Chinese aquatic products in future five years ( 2011-2015) ,based on the theory and method of gray system,this paper firstly establishes a conventional GM ( 1,1) model and a gray ... To predict the annual total yields of Chinese aquatic products in future five years ( 2011-2015) ,based on the theory and method of gray system,this paper firstly establishes a conventional GM ( 1,1) model and a gray metabolic GM ( 1,1) model respectively to predict the annual total yields of Chinese aquatic products in 2006-2009 and compare the prediction accuracy between these two models. Then,it selects the model with higher accuracy to predict the annual total yields of Chinese aquatic products in future five years. The comparison indicates that gray metabolic GM ( 1,1) model has higher prediction accuracy and smaller error,thus it is more suitable for prediction of annual total yields of aquatic products. Therefore,it adopts the gray metabolic GM ( 1,1) model to predict annual total yields of Chinese aquatic products in 2011-2015. The prediction results of annual total yields are 55. 32,57. 46,59. 72,62. 02 and 64. 43 million tons respectively in future five years with annual average increase rate of about 3. 7% ,much higher than the objective of 2. 2% specified in the Twelfth Five-Year Plan of the National Fishery Development ( 2011 to 2015) . The results of this research show that the gray metabolic GM ( 1,1) model is suitable for prediction of yields of aquatic products and the total yields of Chinese aquatic products in 2011-2015 will totally be able to realize the objective of the Twelfth Five-Year Plan. 展开更多
关键词 gray system METABOLIC gm ( 1 1) model AQUATIC prod
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Lijiang Tourism Prediction Based on the Gray Dynamic GM Model and Computer Simulation
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作者 蒋蓉华 刘曲华 焦俊刚 《Journal of Landscape Research》 2010年第2期71-73,78,共4页
[Objective] Taken the Linjiang tourism as an example, tourism forecast system was established, difficulties related to the work of tourist area were solved. [Method] Dynamic predicted response model of Lijiang tourism... [Objective] Taken the Linjiang tourism as an example, tourism forecast system was established, difficulties related to the work of tourist area were solved. [Method] Dynamic predicted response model of Lijiang tourism market was established, through the gray correlation model GM (1, 1) and time-series method, using a computer simulation program for the actual model of operation, Lijiang tourism prospects were predicted and predicting results were evaluated. [Result] Total revenue of model gray parameter of Lijiang tourism a= 0.572 3 from 2009 to 2011, internal control parameters u=0.393 7, x(t+1) =-0.563 3exp(-0.572 3t)+0.688 0; total reception numbers of model gray parameter of Lijiang tourism a = 0.125 6, internal control parameters u = 344. 326 0, x(t+1)=3 102.483 5 exp(0.125 6 t)-2 741.283 5. Test results of two models showed that fitting degrees were good, and at the same time predicted that total revenue of Lijiang tourism reached 13 000 000 000, and total reception numbers reached 8 800 000. [Conclusion] This predicted system can carry out precision forecast for other tourist areas when cannot get all the information. 展开更多
关键词 gray dynamic gm model Computer simulation Lijiang
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The Modified GM( 1 , 1) Grey Forecast Model
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作者 Wang Chengzhang Guo Yaohuang Li Qiang (School of Economics and Management,Southwest Jiaotong University)Chengdu 61 0031 , China 《Journal of Modern Transportation》 1995年第2期157-162,共6页
Because the impacts of the factors such as some disturbances are graduallyadded into the system, the grey forecast results will deviate from the systemtrue value. To improve the forecast precision, Pro-Dens Julons pro... Because the impacts of the factors such as some disturbances are graduallyadded into the system, the grey forecast results will deviate from the systemtrue value. To improve the forecast precision, Pro-Dens Julons provided twomethfor-But they had not consider the impact of artificial disturbance. LiZhihua et al. of Qinghua Univ. presented another method. This paper revisesthe method and make it be a spocial case. 展开更多
关键词 grey forecast gm(1 1 ) model influential factor
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基于灰色GM(1,1)模型的我国医院感染患病率变化趋势及预测 被引量:1
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作者 姜雪锦 李阳 +2 位作者 丁红红 吕敏 孙吉花 《中国医院统计》 2024年第2期87-89,94,共4页
目的了解我国医院感染患病率变化趋势,并采用灰色GM(1,1)模型对我国不同规模医院的医院感染患病率进行预测,为医院感染防控提供数据支持和新思路。方法采用描述性流行病学方法分析我国医院感染患病率变化趋势,2008—2016年我国医院感染... 目的了解我国医院感染患病率变化趋势,并采用灰色GM(1,1)模型对我国不同规模医院的医院感染患病率进行预测,为医院感染防控提供数据支持和新思路。方法采用描述性流行病学方法分析我国医院感染患病率变化趋势,2008—2016年我国医院感染患病率数据进行灰色GM(1,1)模型构建,2018—2020年数据进行模型验证。采用构建的灰色GM(1,1)模型对2022—2024年我国医院感染患病率进行预测。结果我国医院感染患病率呈下降趋势,随着医院规模的增加医院感染患病率升高。医院感染患病率灰色GM(1,1)模型的精度良好、拟合效果较高。2024年全国、<300张床位医院、300~599张床位医院、600~899张床位医院和≥900张床位医院的医院感染患病率可降为1.00%、0.49%、0.90%、1.13%和2.05%。结论我国医院感染防控效果明显,灰色GM(1,1)模型对我国医院感染患病率有较好的预测效果。 展开更多
关键词 灰色gm(1 1)模型 医院感染 患病率 预测
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A New Method for Grey Forecasting Model Group 被引量:2
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作者 李峰 王仲东 宋中民 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2002年第3期1-7,共7页
In order to describe the characteristics of some systems, such as the process of economic and product forecasting, a lot of discrete data may be used. Although they are discrete, the inside law can be founded by some ... In order to describe the characteristics of some systems, such as the process of economic and product forecasting, a lot of discrete data may be used. Although they are discrete, the inside law can be founded by some methods. For a series that the discrete degree is large and the integrated tendency is ascending, a new method for grey forecasting model group is given by the grey system theory. The method is that it firstly transforms original data, chooses some clique values and divides original data into groups by different clique values; then, it establishes non-equigap GM(1,1) model for different groups and searches forecasting area of original data by the solution of model. At the end of the paper, the result of reliability of forecasting value is obtained. It is shown that the method is feasible. 展开更多
关键词 forecasting Non-equigap gm(1 1) model Reliability.
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Hybrid grey model to forecast monitoring series with seasonality 被引量:3
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作者 王琪洁 廖新浩 +3 位作者 周永宏 邹峥嵘 朱建军 彭悦 《Journal of Central South University of Technology》 2005年第5期623-627,共5页
The grey forecasting model has been successfully applied to many fields. However, the precision of GM(1,1) model is not high. In order to remove the seasonal fluctuations in monitoring series before building GM(1,1) m... The grey forecasting model has been successfully applied to many fields. However, the precision of GM(1,1) model is not high. In order to remove the seasonal fluctuations in monitoring series before building GM(1,1) model, the forecasting series of GM(1,1) was built, and an inverse process was used to resume the seasonal fluctuations. Two deseasonalization methods were presented , i.e., seasonal index-based deseasonalization and standard normal distribution-based deseasonalization. They were combined with the GM(1,1) model to form hybrid grey models. A simple but practical method to further improve the forecasting results was also suggested. For comparison, a conventional periodic function model was investigated. The concept and algorithms were tested with four years monthly monitoring data. The results show that on the whole the seasonal index-GM(1,1) model outperform the conventional periodic function model and the conventional periodic function model outperform the SND-GM(1,1) model. The mean Absolute error and mean square error of seasonal index-GM(1,1) are 30.69% and 54.53% smaller than that of conventional periodic function model, respectively. The high accuracy, straightforward and easy implementation natures of the proposed hybrid seasonal index-grey model make it a powerful analysis technique for seasonal monitoring series. 展开更多
关键词 seasonal index gm(1 1) grey forecasting model time series
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Application of Gray Metabolic Model in the Prediction of the Cotton Output in China 被引量:2
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作者 ZHOU Zu-liang YIN Chun-wu 《Asian Agricultural Research》 2011年第1期1-2,6,共3页
In order to forecast the cotton output of China in the year 2011, Gray Metabolic Forecast Model is established based on both the Gray Forecast Model and the Metabolic Theory. According to the actual situation, forecas... In order to forecast the cotton output of China in the year 2011, Gray Metabolic Forecast Model is established based on both the Gray Forecast Model and the Metabolic Theory. According to the actual situation, forecast results of conventional GM (1, 1) Model and Metabolism GM (1, 1) Model are analyzed, showing that Metabolic Forecast Model has higher precision than the conventional forecast model. Therefore, Metabolism GM (1, 1) Model is used to forecast the cotton output of China in the year 2011, which is 614 968.3 thousand tons. 展开更多
关键词 gray system gm(1 1)model Cotton output China
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基于灰色GM-BP神经网络组合模型的中国镍原矿多情景需求预测 被引量:1
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作者 周文潇 詹成 +2 位作者 张周益 阮晟哲 成金华 《资源与产业》 2024年第2期53-66,共14页
2016年我国颁布《全国矿产资源规划(2016—2020年)》,首次将镍列为战略性矿产资源。我国是全球最大的镍消费国,但镍资源储量少,对外依存度高,科学预测镍原矿需求量对保障镍矿产业链与供应链安全具有重要的现实意义。从需求侧出发,利用... 2016年我国颁布《全国矿产资源规划(2016—2020年)》,首次将镍列为战略性矿产资源。我国是全球最大的镍消费国,但镍资源储量少,对外依存度高,科学预测镍原矿需求量对保障镍矿产业链与供应链安全具有重要的现实意义。从需求侧出发,利用灰色关联度法选取中国不锈钢产量、人均GDP、电镀行业市场规模、城镇化率、产业结构、新能源汽车产量作为镍原矿需求情景预测的驱动变量,再在灰色GM(1,1)模型预测基础上,与BP神经网络算法相结合,构建基于残差优化的GM-BP组合模型,对2025—2035年中国镍原矿需求展开多情景预测。研究结果表明:组合模型实现了对小样本非线性时间序列数据的有效预测,且比GM(1,1)模型拟合误差更小,预测精度更高;根据组合模型,2025年、2030年、2035年我国镍原矿多情景需求均值分别为182.22万t、272.08万t、395.17万t,“十四五”“十五五”“十六五”期间需求年均增长4.26%、10.54%、9.78%。镍原矿需求呈稳定上升态势,镍矿供需矛盾将进一步加剧,我国必须提高镍供应能力,降低对进口镍的依赖程度。对此,提出如下政策建议:1)推进国内不锈钢产业的转型升级,优化生产工艺和产品结构,推广新型合金材料的应用;2)加大对镍矿勘探和开发的支持力度,如鼓励矿业企业技术创新,提高勘探效率和精度,同时积极推动国际合作,吸引国外先进技术、设备进入国内市场;3)促进进口多元化,与多个供应国建立合作关系,鼓励国内企业参与海外镍矿项目。 展开更多
关键词 gm-BP模型 BP神经网络 镍原矿需求 情景预测
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面向“十四五”规划基于灰色GM(1,1)模型的沈阳市物流需求预测分析 被引量:1
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作者 尹衍为 向尕 任亚唯 《物流科技》 2024年第10期51-55,共5页
“十四五”规划时期,推动东北全面振兴是重要的发展方向。其中物流的发展至关重要。东北地区因其地域特点,物流需求具有不确定性,亟待开展预测方法研究。文章以沈阳市为例,以2008—2022年货运量作为样本数据,提出基于灰色GM(1,1)模型的... “十四五”规划时期,推动东北全面振兴是重要的发展方向。其中物流的发展至关重要。东北地区因其地域特点,物流需求具有不确定性,亟待开展预测方法研究。文章以沈阳市为例,以2008—2022年货运量作为样本数据,提出基于灰色GM(1,1)模型的东北地区物流需求预测方法。通过仿真实验计算2008—2022年的物流需求,经过与实际值对比,对预测结果进行检验与分析,验证了文章所提出的模型是有效的;预测未来5年的物流需求量。实验结果表明,此方法能为沈阳市物流需求的定量分析提供较为准确的基础,同时为政府出台相关政策和企业进行物流规划建设提供参考价值。 展开更多
关键词 灰色gm(1 1)模型 物流需求预测 货运量 东北地区
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Improvement on GM models
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作者 党耀国 刘思峰 刘斌 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2004年第3期295-298,共4页
Since grey system theory was established by prof. Deng, GM models and their improvements have all taken the first vector of the original sequence as the initialization, which resulted to deficiency in making use of th... Since grey system theory was established by prof. Deng, GM models and their improvements have all taken the first vector of the original sequence as the initialization, which resulted to deficiency in making use of the latest information. Based on the principle, which new information should be used fully, we think it is scientific to pay more attention to the new information or endow them a more weigh. So, this paper deals with the GM improvement by taking the n-th vector as the initialization, and gets great improvement in forecasting precision. Last, we validate the practicability and reliability of the models with examples. 展开更多
关键词 gm model INITIALIZATION SEQUENCE forecasting.
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A Hybrid Model for the Mid-Long Term Runoff Forecasting by Evolutionary Computation Techniques
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作者 Zou Xiu-fen. Kang Li-shan. Cao Hong-qing, Wu Zhi-jianSchool of Mathematics and Statistics, Wuhan University, Wuhan 430072,Hubei, ChinaState Key Laboratory of Software Engineering, Wuhan University, Wuhan 430072, Hubei, China 《Wuhan University Journal of Natural Sciences》 CAS 2003年第S1期234-238,共5页
The mid-long term hydrology forecasting is one of most challenging problems in hydrological studies. This paper proposes an efficient dynamical system prediction model using evolutionary computation techniques. The ne... The mid-long term hydrology forecasting is one of most challenging problems in hydrological studies. This paper proposes an efficient dynamical system prediction model using evolutionary computation techniques. The new model overcomes some disadvantages of conventional hydrology forecasting ones. The observed data is divided into two parts; the slow 'smooth and steady' data, and the fast 'coarse and fluctuation' data. Under the divide and conquer strategy, the behavior of smooth data is modeled by ordinary differential equations based on evolutionary modeling, and that of the coarse data is modeled using gray correlative forecasting method. Our model is verified on the test data of the mid-long term hydrology forecast in the northeast region of China. The experimental results show that the model is superior to gray system prediction model (GSPM). 展开更多
关键词 hydrology forecasting evolutionary modeling gray correlative
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A self-adaptive grey forecasting model and its application
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作者 TANG Xiaozhong XIE Naiming 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2022年第3期665-673,共9页
GM(1,1)models have been widely used in various fields due to their high performance in time series prediction.However,some hypotheses of the existing GM(1,1)model family may reduce their prediction performance in some... GM(1,1)models have been widely used in various fields due to their high performance in time series prediction.However,some hypotheses of the existing GM(1,1)model family may reduce their prediction performance in some cases.To solve this problem,this paper proposes a self-adaptive GM(1,1)model,termed as SAGM(1,1)model,which aims to solve the defects of the existing GM(1,1)model family by deleting their modeling hypothesis.Moreover,a novel multi-parameter simultaneous optimization scheme based on firefly algorithm is proposed,the proposed multi-parameter optimization scheme adopts machine learning ideas,takes all adjustable parameters of SAGM(1,1)model as input variables,and trains it with firefly algorithm.And Sobol’sensitivity indices are applied to study global sensitivity of SAGM(1,1)model parameters,which provides an important reference for model parameter calibration.Finally,forecasting capability of SAGM(1,1)model is illustrated by Anhui electricity consumption dataset.Results show that prediction accuracy of SAGM(1,1)model is significantly better than other models,and it is shown that the proposed approach enhances the prediction performance of GM(1,1)model significantly. 展开更多
关键词 grey forecasting model gm(1 1)model firefly algo-rithm Sobol’sensitivity indices electricity consumption prediction
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Study on Population Forecast Model in Planning of Land Use
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作者 ZHANG Yan-fen,LI Ying-chao,CHEN Wei-qiang College of Resources & Environment,Henan Agricultural University,Zhengzhou 450002,China 《Asian Agricultural Research》 2011年第4期63-65,69,共4页
On the basis of describing characteristics and condition of application of natural growth model of population,weighted average growth model,regression forecast model and GM(1,1) forecast model,taking Gushi County in H... On the basis of describing characteristics and condition of application of natural growth model of population,weighted average growth model,regression forecast model and GM(1,1) forecast model,taking Gushi County in Henan Province as an example,according to the statistics of population in Gushi County Statistical Yearbook from 1991 to 2007,we establish four models to conduct fitting on population change respectively,and meanwhile,we predict population size from 2008 to 2009 and conduct preciseness test on the population size.The test results show that the preciseness of forecast results of natural growth model is not high,and the preciseness of forecast results of weighted average growth model is not scientific when the total size of population is unstable.The results of GM(1,1) forecast model and regression forecast model largely conform to the actual data,so we can take the mean of the two as the final forecast result. 展开更多
关键词 PLANNING of LAND USE POPULATION forecast model REG
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基于GM(1,1)模型的江苏省淮安市5岁以下儿童死亡预测分析 被引量:1
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作者 王慧 丁伟洁 +3 位作者 卢红梅 李晓宇 何鹏 朱晓琴 《安徽医药》 CAS 2024年第4期750-755,共6页
目的 分析2008年1月1日至2021年12月31日淮安市5岁以下儿童死亡现状,构建灰色GM(1,1)预测模型预测2022—2025年淮安市5岁以下儿童死亡变化趋势。方法 数据来源于江苏省妇幼卫生信息系统监测数据。采用描述流行病学方法综合分析2008-202... 目的 分析2008年1月1日至2021年12月31日淮安市5岁以下儿童死亡现状,构建灰色GM(1,1)预测模型预测2022—2025年淮安市5岁以下儿童死亡变化趋势。方法 数据来源于江苏省妇幼卫生信息系统监测数据。采用描述流行病学方法综合分析2008-2021年淮安市5岁以下儿童死亡死因并评估失能调整寿命年(DALY)损失,用R3.6.2软件构建灰色GM(1,1)预测模型预测淮安市2022-2025年不同年龄段儿童死亡率和非故意伤害死亡发生率。结果 2008-2021年淮安市共报告5岁以下儿童死亡3 315例,平均死亡率为4.44‰,总体呈下降趋势。5岁以下儿童主要死因为意外窒息、先天性心脏病、早产或低出生体质量、出生窒息、溺水。14年间因5岁以下儿童死亡共损失111 141.98个DALY。GM(1,1)模型结果显示,除了交通意外的模型精确等级结果为3级,其他指标的预测模型拟合效果均较好。2022-2025年预测结果显示,除交通意外死亡率呈逐年上升趋势外,不同年龄段5岁以下死亡和非故意伤害死亡率均呈下降趋势。结论 GM(1,1)对5岁以下儿童死亡预测的拟合效果较好,可以应用于预测。灰色GM(1,1)预测模型预测2022-2025年淮安市5岁以下儿童死亡率总体呈下降趋势,政府相关部门应进一步加强儿童早产、先天性心脏病及非故意伤害的防控和救治工作,把5岁以下儿童死亡率控制在更低的水平。 展开更多
关键词 儿童死亡率 灰色预测模型 gm(1 1) 儿童 学龄前 预测分析 江苏省淮安市
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基于GM(1,1)的山东省沿海港口物流需求预测研究
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作者 朱晓璐 陈永祥 张心慧 《价值工程》 2024年第22期23-25,共3页
沿海港口是国际贸易的关键通道,提高沿海港口的物流服务水平能带动区域经济发展,山东省作为一个港口大省,拥有数个重要港口,沿海港口行业已成为山东省经济发展的支柱产业,但由于建设不合理等原因,山东港口也存在许多问题。因此,文章选... 沿海港口是国际贸易的关键通道,提高沿海港口的物流服务水平能带动区域经济发展,山东省作为一个港口大省,拥有数个重要港口,沿海港口行业已成为山东省经济发展的支柱产业,但由于建设不合理等原因,山东港口也存在许多问题。因此,文章选取山东省七个沿海港口城市,采用GM(1,1)模型对山东省主要沿海港口物流需求量进行预测,发现未来五年山东省沿海港口的物流需求逐年稳定提升,最后结合山东省沿海港口物流发展现状提出相应的发展对策及建议。 展开更多
关键词 gm(1 1)模型 港口物流 需求预测
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以x^((1))(n)为初始条件的GM模型 被引量:211
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作者 党耀国 刘思峰 刘斌 《中国管理科学》 CSSCI 2005年第1期132-135,共4页
自 1 98 2年灰色系统理论创立以来 ,关于GM模型的研究 ,都是以序列X(1 ) 的第一个分量作为灰色微分模型的初始条件进行建模的 ,这样造成对新信息利用不够充分。根据灰色系统理论的新信息优先原理 ,在建模过程中赋予新信息较大的权重可... 自 1 98 2年灰色系统理论创立以来 ,关于GM模型的研究 ,都是以序列X(1 ) 的第一个分量作为灰色微分模型的初始条件进行建模的 ,这样造成对新信息利用不够充分。根据灰色系统理论的新信息优先原理 ,在建模过程中赋予新信息较大的权重可以提高灰色建模的功效。因此本文在建立灰色模型时 ,把X(1 ) 的第n个分量作为灰色微分模型的初始条件 ,对GM模型进行了改进 ,从而使所建模型的预测精度大为提高。最后 。 展开更多
关键词 gm模型 初始条件 序列 预测
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优化的GM(1,1)模型及其适用范围 被引量:50
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作者 刘斌 赵亮 +2 位作者 翟振杰 党耀国 张荣 《南京航空航天大学学报》 EI CAS CSCD 北大核心 2003年第4期451-454,共4页
在已有灰色理论的基础上 ,利用“最小二乘法”确定 GM(1 ,1 )白化权函数的时间响应函数中的常数 c,摈弃了传统 GM(1 ,1 )把原始序列中 x( 0 ) (1 )作为初始条件的欠科学的做法 ,构建了时间响应函数的优化模型。经大量的数据模拟和预测 ... 在已有灰色理论的基础上 ,利用“最小二乘法”确定 GM(1 ,1 )白化权函数的时间响应函数中的常数 c,摈弃了传统 GM(1 ,1 )把原始序列中 x( 0 ) (1 )作为初始条件的欠科学的做法 ,构建了时间响应函数的优化模型。经大量的数据模拟和预测 ,发现优化的 GM(1 ,1 )模型各项指标均优于传统的 GM(1 ,1 )模型 。 展开更多
关键词 gm(1 1)模型 适用范围 模型优化 时间响应函数 最小二乘法 灰色系统理论
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GM(1,1)幂模型求解方法及其解的性质 被引量:64
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作者 王正新 党耀国 +1 位作者 刘思峰 练郑伟 《系统工程与电子技术》 EI CSCD 北大核心 2009年第10期2380-2383,共4页
根据灰色系统信息覆盖的基本原理,给出了GM(1,1)幂模型中参数α的估计方法。讨论了α的不同取值对模型解的影响,对其白化微分方程解的定理进行了补充,并给出了白化微分方程解的优化方法。结果表明,所提出的建模方法更能适应于一类具有... 根据灰色系统信息覆盖的基本原理,给出了GM(1,1)幂模型中参数α的估计方法。讨论了α的不同取值对模型解的影响,对其白化微分方程解的定理进行了补充,并给出了白化微分方程解的优化方法。结果表明,所提出的建模方法更能适应于一类具有饱和状态或发展变化受众多因素影响的波动原始序列,在0<α<1且a>0和α>1且a<0两种情形下,GM(1,1)幂模型与灰色Verhulst模型具有相同的极限性质,但模拟预测精度高于灰色Verhulst模型。 展开更多
关键词 灰色系统 gm(1 1)幂模型 信息覆盖 预测
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