Generalized accumulation grey model and its optimal algorithm

Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice

Volumn 29, Issue 6, 2009, Pages 147-156

  Huang, Ji ^a   Zhong, Xiao Li ^b  

^a NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

^b Xuzhou Command College of Corps of Engineers   (China)

Author keywords

Generalized accumulation; GM(1, 1) model; Matrix analysis; TSQ

Indexed keywords

AVERAGE RELATIVE ERROR; ENERGY SYSTEMS; GENERALIZED ACCUMULATION; GM(1, 1) MODEL; GREY FORECASTING MODEL; GREY MODEL; MATRIX; MATRIX ANALYSIS; MATRIX THEORY; MULTIPLE TRANSFORMATION; NEW APPROACHES; OPTIMAL ALGORITHM; OPTIMAL MODEL; PARAMETER IDENTIFICATION; SIMULATION RESULT; TSQ;

GRANULAR MATERIALS;

OPTIMIZATION;

EID: 67650536470     PISSN: 10006788     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. Xiao X P, Song Z M, Li F. The Basis of Grey Technology and Its Application[M]. Beijing: Science Press, 2005: 85-103.
2. Liu S F, Lin Y. Grey Information: Theory and Practical Applications[M]. Advanced Information and Knowledge Processing, 2006: 234-335.
3. Shen J H. GM(1, 1) for modeling oscillation series via triangle transformation[J]. The Journal of Grey System, 2002(1): 5-8.
4. Ying K C, Liao C T. Fourier modified non-equigap GM(1, 1)[J]. The Journal of Grey System, 2000, 12(2): 139-142.
5. Sun C X, Bi W M, et al. New gray prediction parameter model and its application in electrical insulation fault prediction[J]. Control Theory and Application, 2003, 20(5): 797-801.
6. Chen C H. A new method for grey modeling jump series[J]. The Journal of Grey System, 2002(2): 123-132.
7. Deng J L. Moving operator in grey theory[J]. The Journal of Grey System, 1999(1): 1-5.
8. Chen T J. A new development of grey forecasting model[J]. Systems Engineering, 1990, 8(1): 50-52.
9. Luo R G, Chen W. The improvements and application of grey model[J]. Systems Engineering-Theory and Practice, 1988, 8(2): 46-52.
10. Tang W X. A new method of estimation of the GM(1, 1) model parameters and hypothesis testing[J]. Systems Engineering-Theory and Practice, 1995, 15(3): 20-25.
11. Yu D J. A discussion about modelling of grey systems[J]. Systems Engineering, 1991, 9(5): 9-12.
12. Zhang D H, Jiang S F, Shi K Q. Theoretical defect of grey prediction formula and its improvement[J]. Systems Engineering-Theory and Practice, 2002, 22(8): 140-142.
13. Li Y G, Li Q F, Zhao G F. An improvement on grey forecasting model[J]. Systems Engineering, 1992, 10(6): 27-31.
14. Li Q. The further generalization for grey forecasting model[J]. Systems Engineering-Theory and Practice, 1993, 13(1): 64-66.
15. Huang F Y. Method of transformation for modelling in grey systems[J]. Systems Engineering-Theory and Practice, 1996, 16(6): 35-38.
16. Xiang Y L. Direct modelling for GPPM(1) dynamic swing index transformation and forecast the output of TV set of the whole country[J]. Systems Engineering-Theory and Practice, 1997, 17(2): 104-108.
17. Zhang S H. Separated modelling method in grey system[J]. Systems Engineering-Theory and Practice, 2002, 22(5): 103-107.