Title: A mathematical model for diffusion of products with multiple generations

Authors: Amit Kumar Bardhan, Udayan Chanda

Addresses: Faculty of Management Studies, University of Delhi, New Delhi 110007, India. ' Department of Operational Research, University of Delhi, North Campus, New Delhi 110007, India

Abstract: Modelling the new product sales growth and forecasting the future over the product life-cycle has been an important area of research in Marketing. Many models on this topic have also been extended for describing the diffusion of products having multiple technological generations. But factors influencing diffusion of such products are very distinctive and therefore the modelling approach needs to be different. This paper proposes a model that improves upon some well-know models to study the sales growth of successive generation of products. The model has been validated on a sales-data and has also been compared with an established model.

Keywords: mathematical modelling; marketing science; innovation diffusion; new product sales growth; technology substitution; forecasting; product generations.

DOI: 10.1504/IJOR.2009.022601

International Journal of Operational Research, 2009 Vol.4 No.2, pp.214 - 229

Published online: 18 Jan 2009 *

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