Modeling Competition over Product Life Cycles

Author:

Chan Ka Ching12,Mills Terry M.3

Affiliation:

1. School of Mechanical and Manufacturing Engineering, The University of New South Wales, Sydney, NSW 2052, Australia

2. Department of Computer Science and Information Technology, La Trobe University, Bendigo, VIC 3552, Australia

3. Bendigo Health, Bendigo, VIC 3552, Australia

Abstract

This paper presents a mathematical model, linking the classical Markov models for brand switching and models for product life cycles, to forecast competition analysis and market share. This integrated model can be used to forecast market shares of all competitors, and their market shares, including customers retained, customers gained from market growth, and customers gained from competitors over the product life cycle. Such information provides forecasters with valuable insight about their market positions. The model is generic and can be applied to different types of products and services, under different types and patterns of product life cycle curves. A numerical example on a typical mobile telecommunication industry is used to illustrate the application of the proposed approach.

Publisher

World Scientific Pub Co Pte Lt

Subject

Management Science and Operations Research,Management Science and Operations Research

Reference19 articles.

1. Statistical Inference about Markov Chains

2. Marketing Science

3. K. C. Chan, C. T. Lenard and T. M. Mills, It's My Maths: Personalised Mathematics Learning, ed. J. Cheeseman (Mathematical Association of Victoria, Melbourne, 2012) pp. 40–47.

4. 97.49 On Markov chains

5. Estimation of the transition matrix of a discrete-time Markov chain

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