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Forecasting New Product Diffusion Using Grey Time-Delayed Verhulst Model
Joint Authors
Wang, Yuhong
Yang, Shulin
Qian, Wuyong
Li, Xiaozhong
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-18
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Taking account of the time-delayed phenomenon in diffusion of new products, we propose the time-delayed Verhulst model and then establish a grey time-delayed Verhulst model using the method of grey differential equations.
The related parameter packets of this novel model are obtained under the rule of ordinary least squares (OLS).
The results show that the traditional grey Verhulst model is a special example of grey time-delayed Verhulst model which can reflect the time-delayed information effectively.
A practical example of market diffusion shows that the modeling accuracy is remarkably improved by using the grey time-delayed Verhulst model presented in this paper.
American Psychological Association (APA)
Wang, Yuhong& Yang, Shulin& Qian, Wuyong& Li, Xiaozhong. 2013. Forecasting New Product Diffusion Using Grey Time-Delayed Verhulst Model. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-486096
Modern Language Association (MLA)
Wang, Yuhong…[et al.]. Forecasting New Product Diffusion Using Grey Time-Delayed Verhulst Model. Journal of Applied Mathematics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-486096
American Medical Association (AMA)
Wang, Yuhong& Yang, Shulin& Qian, Wuyong& Li, Xiaozhong. Forecasting New Product Diffusion Using Grey Time-Delayed Verhulst Model. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-486096
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486096