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2013 Forecasting New Product Diffusion Using Grey Time-Delayed Verhulst Model
Yuhong Wang, Shulin Yang, Wuyong Qian, Xiaozhong Li
J. Appl. Math. 2013: 1-6 (2013). DOI: 10.1155/2013/625028

Abstract

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.

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Yuhong Wang. Shulin Yang. Wuyong Qian. Xiaozhong Li. "Forecasting New Product Diffusion Using Grey Time-Delayed Verhulst Model." J. Appl. Math. 2013 1 - 6, 2013. https://doi.org/10.1155/2013/625028

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950783
Digital Object Identifier: 10.1155/2013/625028

Rights: Copyright © 2013 Hindawi

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