GM(1,1) model optimization based on the background value and boundary value correction

Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice

Volumn 33, Issue 3, 2013, Pages 682-688

  Zhang, Bin ^a   Xi, Gui Quan ^a  

^a BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

Background value; Boundary conditions; GM(1,1) model; Informatization index

Indexed keywords

BACKGROUND VALUE; BOUNDARY VALUES; GM (1 , 1); GM (1 , 1) MODEL; INFORMATIZATION; OPTIMIZATION MODELS; PREDICTION MODEL; SQUARED ERRORS;

BOUNDARY CONDITIONS; MATHEMATICAL MODELS; SYSTEM THEORY;

OPTIMIZATION;

EID: 84876080744     PISSN: 10006788     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Deng J L. Grey forecasting and decision [M]. Wuhan: Huazhong University of Science and Technology Press, 2002.
2. Zhang D H, Jiang S F, Shi K Q. Theoretical defect of grey prediction formula and its improvement [J]. Systems Engineering - Theory & Practice, 2002, 22(8): 140-142.
3. Liu S F, Dang Y G, Fang Z G. Grey system theory and its application [M]. 3rd ed. Beijing: Science Press, 2004: 1-3, 42-43.
4. He W Z, Song G X, Wu A D. A class of algorithms for estimating GM(1, 1) model parameter [J]. Systems Engineering - Theory & Practice, 2005, 25(1): 69-75.
5. Liu B, Zhao L, Zhai Z J, et al. Optimum model of GM(1, 1) and its suitable range [J]. Journal of Nanjing University of Aeronautics & Astronautics, 2003(4): 451-454.
6. Liu B, Liu S F, Zhai Z J, et al. Optimum time response sequence for GM(1, 1) [J]. Chinese Journal of Management Science, 2003(4): 54-57.
7. Wang Y N, Liu G Z, Liu K D. A step by step optimum direct modeling method of GM(1, 1) [J]. Systems Engineering - Theory & Practice, 2000, 20(9): 100-102.
8. Zhang Y, Wei Y, Xiong C W. One new optimized method of GM(1, 1) model [J]. Systems Engineering - Theory & Practice, 2007, 27(4): 141-143.
9. Luo D, Liu S F, Dang Y G. The optimization of grey model GM(1, 1) [J]. Engineering Science, 2003(8): 50-53.
10. Liu L, Wang H G, Wang B W. GM (1, 1) model optimization based on the construction of background value [J]. Statistics and Decision, 2009, 277(1): 153-155.
11. Zhang H, Hu S G. Analysis of boundary condition for GM(1, 1) model [J]. Journal of Huazhong University of Science and Technology, 2001, 29(4): 250-293.
12. (1)(n) be taken as initial value [J]. Chinese Journal of Management Science, 2005, 13(1): 132-135.
13. Tan G J. The structure method and application of background value in grey system GM(1, 1) model (I) [J]. Systems Engineering - Theory & Practice, 2000, 20(5): 98-103.
14. Xie Y L. Study on the prediction of Chinese informatization indexes based on grey system theory [J]. Sci-Tech Information Development & Economy, 2007, 17(20): 91-95.
15. Wang C S, et al. China information almanac [M]. Beijing: «China Information Almanac» Press, 2009: 508-519.