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http://dx.doi.org/10.7737/JKORMS.2012.37.2.113

Comparison of the Bass Model and the Logistic Model from the Point of the Diffusion Theory  

Hong, Jung-Sik (서울과학기술대학교 IT정책전문대학원 산업정보시스템전공)
Koo, Hoon-Young (충남대학교 경상대학 경영학부)
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Abstract
The logistic model and the Bass model have diverse names and formulae in diffusion theory. This diversity makes users or readers confused while it also contributes to the flexibility of modeling. The method of handling the integration constant, which is generated in process of deriving the closed form solution of the differential equation for a diffusion model, results in two different 'actual' models. We rename the actual four models and propose the usage of the models with respect to the purpose of model applications. The application purpose would be the explanation of historical diffusion pattern or the forecasting of future demand. Empirical validation with 86 historical diffusion data shows that misuse of the models can draw improper conclusions for the explanation of historical diffusion pattern.
Keywords
Diffusion Theory; Bass Model; Logistic Model;
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1 홍정식, 김태구, 임달오, "확산 모형에 의한 고가의료기기의 수요 확산의 특성분석 및 중장기 수요예측에 관한 연구", 보건행정학회지, 제18권, 제4호(2008), pp.85-110.
2 홍정식, 엄석준, "Bass 확산 모형의 이분 확장", 한국경영과학회지, 제34권, 제4호(2009), pp. 15-26.
3 Bemmaor, A.C. and J. Lee, "The Impact of Heterogeneity and Ill-Conditioning on Diffusion Model Parameter Estimates," Marketing Science, Vol.21, No.2(2002), pp.209-220.   DOI   ScienceOn
4 Hu, Q., C. Saunders and M. Gebelt, "Research Report;Diffusion of Information Systems Outsourcing; A Reevaluation of Influence Sources," Information Systems Research, Vol.8, No.3(1997), pp.288-301.   DOI   ScienceOn
5 Kingsland, S., "The Refractory Model;The Logistic Curve and the History of Population Ecology," The Quarterly Review of Biology, Vol.57, No.1(1982), pp.29-52.   DOI
6 Li, Y. and Z. Chen, "Diffusion of Innovations in a Small World Network," Wireless Communications, Networking and Mobile Computing, (2007), pp.5617-5620.
7 Meade, N., "Forecasting Using Growth Curves- An Adaptive Approach," The Journal of the Operational Research Society, Vol.36, No.12 (1985), pp.1103-1115.
8 Meade, N. and T. Islam, "Forecasting with growth curves;An empirical comparison," International Journal of Forecasting, Vol.11, No.2(1995), pp.199-215.   DOI   ScienceOn
9 Meade, N. and T. Islam, "Technological Forecasting- Model Selection, Model Stability, and Combining Models," Management Science, Vol.44, No.8(1998), pp.1115-1130.   DOI   ScienceOn
10 Meyer, P.S., J.W. Yung, and J.H. Ausubel, "A primer on logistic growth and substitution; The mathematics of the loglet lab software," Technological Forecasting and Social Change, Vol.61(1999), pp.247-71.   DOI   ScienceOn
11 Muller, E. and G. Yogev, "When does the majority become a majority? Empirical analysis of the time at which main market adopters purchase the bulk of our sales," Technological Forecasting and Social Change, Vol.73(2006), pp.1107-1120.   DOI   ScienceOn
12 Niu, S., "A Piecewise-Diff-usion Model of New-Product Demands," Operations Research, Vol.54, No.4(2006), pp.678-695.   DOI   ScienceOn
13 Ozkaya, E., Demand management in global supply chains, Ph. D. Thesis, Georgia Institute of Technology, 2008.
14 Philips, F., "On S-curves and tipping points," Technological Forecasting and Social Change, Vol.74(2007), pp.715-730.   DOI   ScienceOn
15 Reed, L.J. and R. Pearl, "On the summation of logistic curves," Journal of the Royal Statistical Society, Vol.90, No.4(1927), pp. 729-746.   DOI   ScienceOn
16 Wang, H. and H. Doong, "Diffusion of mobile music service in Taiwan;an empirical investigation of influence sources," Management Decision, Vol.48, No.9(2010), pp.1378- 1387.   DOI   ScienceOn
17 Satoh, D., "A discrete bass model and its parameter estimations," Journal of the Operations Research Society of Japan, Vol.44, No.1 (2001), pp.1-18.
18 Van den Bulte, C. and Y.V. Joshi, "New Product Diffusion with Influentials and Imitators," Marketing Science, Vol.26, No.3(2007), pp. 400-21.   DOI   ScienceOn
19 Verhulst, P.F., "Recherches mathematiques sur la loi d'accroissement de la population," Mem. Acad. Roy. Belg., Vol.18(1845), pp.1-38.
20 Wu, F. and W. Chu, "Diffusion models of mobile telephony," Journal of Business Research, Vol.63, No.5(2010), pp.497-501.   DOI   ScienceOn