A research on the grey prediction model GM(1,n)

Applied Mathematics and Computation

Volumn 218, Issue 9, 2012, Pages 4903-4916

  Tien, Tzu Li ^a  

^a NATIONAL FORMOSA UNIVERSITY   (Taiwan)

Author keywords

Convolution integral; GM(1,n) model; GMC(1,n) model; Indirect measurement; Unit impulse response function

Indexed keywords

ACCUMULATED GENERATING OPERATIONS; CONVOLUTION INTEGRALS; ELEMENTARY FUNCTION; FIRST ORDER; FORCING TERMS; GMC(1 , N) MODEL; GREY PREDICTION MODEL; GREY SYSTEMS; GREY THEORY; IMPROVED MODELS; INDIRECT MEASUREMENTS; PREDICTION ACCURACY; PREDICTION MODEL; STEP-BY-STEP; UNIT IMPULSE RESPONSE;

CONVOLUTION; DECISION THEORY; IMPULSE RESPONSE; MATHEMATICAL MODELS; SYSTEM THEORY;

FORECASTING;

EID: 83555175977     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.10.055     Document Type: Article

References (24)

1. J.L. Deng Control problems of grey systems System Control Letters 1 1982 288 294
2. J.L. Deng Essential Topics on Grey Systems: Theory and Applications 1988 China Ocean Press Beijing
3. Y. Wang Compensation for the thermal error of a multi-axis machining center Journal of Material Processing Technique 75 1998 45 53
4. R. Guo Modelling imperfectly repaired system data via grey differential equations with unequal-gapped times Reliability Engineering and System Safety 92 2007 378 391
5. L.M. Kung, and S.W. Yu Prediction of index futures returns and the analysis of financial spillovers - A comparison between GARCH and the grey theorem European Journal of Operational Research 186 2008 1184 1200
6. T.Y. Pai Grey and neural network prediction of suspended solids and chemical oxygen demand in hospital wastewater treatment plant effluent Computers and Chemical Engineering 31 2007 1272 1281
7. T.Y. Pai, R.J. Chiou, and H.H. Wen Evaluating impact level of different factors in environmental impact assessment for incinerator plants using GM (1,N) model Waste Management 28 2008 1915 1922
8. T.L. Tien The indirect measurement of tensile strength of material by the grey prediction model GMC(1, n) Measurement Science Technology 16 2005 1322 1328
9. C.K. Chen, and T.L. Tien A new forecasting method for time continuous model of dynamic system Applied Mathematics and Computation 80 1996 225 244
10. C.K. Chen, and T.L. Tien A new transfer function model: the grey dynamic model GDM(2,2,1) International Journal of Systems Science 27 1996 1371 1379
11. C.K. Chen, and T.L. Tien A new forecasting model GDM(2,2,1) of dynamic system Proceedings of the Royal Society of London, Series A 453 1997 879 896
12. C.K. Chen, and T.L. Tien The indirect measurement of tensile strength by the deterministic grey dynamic model DGDM(1,1,1) International Journal of Systems Science 28 1997 683 690
13. C.K. Chen, and T.L. Tien A new forecasting method of discrete dynamic system Applied Mathematics and Computation 86 1997 61 84
14. T.L. Tien, and C.K. Chen The indirect measurement of fatigue limits of structural steel by the deterministic grey dynamic model DGDM (1,1,1) Applied Mathematical Modelling 21 1997 611 619
15. 2 output from gas furnace by a new transfer function model GDM(2,2,1) Systems Analysis Modelling Simulation 30 1998 265 287
16. T.L. Tien A research on the deterministic grey dynamic model with multiple inputs DGDMMI (1,1,1) Applied Mathematics and Computation 139 2003 401 416
17. T.L. Tien A research on the prediction of machining accuracy by the deterministic grey dynamic model DGDM (1, 1, 1) Applied Mathematics and Computation 161 2005 923 945
18. T.L. Tien The indirect measurement of tensile strength for a higher temperature by the new model IGDMC(1,n) Measurement 41 2008 662 675
19. T.L. Tien The deterministic grey dynamic model with convolution integral DGDMC(1,n) Applied Mathematical Modelling 33 2009 3498 3510
20. 2 output from gas furnace by grey prediction model IGMC(1,n) Journal of the Chinese Society of Mechanical Engineers 31 2010 55 65
21. C.R. Su Estimation for inner surface geometry of furnace wall using inverse process combined with grey prediction model International Journal of Heat and Mass Transfer 52 2009 3595 3605
22. W.Y. Wu, and S.P. Chen A prediction method using the grey model GMC(1,n) combined with the grey relational analysis a case study on Internet access population forecast Applied Mathematics and Computation 169 2005 198 217
23. P. V O'Neil Advanced Engineering Mathematics 2003 Brooks/Cole Publishing Company NY
24. L.H. Samuel Metal Data 1952 Reinhold NJ