Bass model - Revision history

Dirkjan at 19:51, 27 August 2020

2020-08-27T19:51:24Z

Dirkjan: Replaced content with "Bass model Category:marketing Category:model Category:term"

2020-08-27T19:16:49Z

Replaced content with "Bass model Category:marketing Category:model Category:term"

Dirkjan: Created page with "The Bass diffusion model was developed by Frank Bass and describes the process of how new products get adopted as an interaction between users and potential users. An excel th..."

2020-08-25T07:55:23Z

Created page with "The Bass diffusion model was developed by Frank Bass and describes the process of how new products get adopted as an interaction between users and potential users. An excel th..."

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The Bass diffusion model was developed by Frank Bass and describes the process of how new products get adopted as an interaction between users and potential users. An excel that can help calculate the adoption rate can be downloaded

<html><a href="/static/files/MBI/Module%2013/Bass%20Diffusion%20Model.xls">here</a></html>

(source: http://leeds-faculty.colorado.edu/lawrence/Tools/index.htm)

This model has been widely influential in marketing and management science. In 2004 it was selected as one of the ten most frequently cited papers in the 50-year history of Management Science e Bass diffusion model was developed by Frank Bass and describes the process of how new products get adopted as an interaction between users and potential users.

=Model formulation=

<math>\frac{f(t)}{1-F(t)} = p + q F(t)</math>

Where:
* <math>f(t)</math> is the rate of change of the installed base fraction
* <math>F(t)</math> is the installed base fraction
* <math>p</math> is the coefficient of innovation
* <math>q</math> is the coefficient of imitation

Sales <math>S(t)</math> is the rate of change of installed base (i.e. adoption) <math>f(t)</math> multiplied by the ultimate market potential <math>m</math> :

<math>S(t)=mf(t)</math>
<math>S(t)</math>=<math>m{ \frac{(p+q)^2}{p}}</math> <math>\Huge \frac{e^{-(p+q)t}}{(1+\frac{q}{p}e^{-(p+q)t})^2}</math>

The time of peak sales <math>t^*</math>

<math>t^*=\frac{\ln q - \ln p}{p+q}</math>

=Explanation=
The coefficient p is called the coefficient of innovation, external influence or advertising effect. The coefficient q is called the coefficient of imitation, internal influence or word-of-mouth effect.Typical values of p and q when time t is measured in years

* The average value of p has been found to be 0.03, and is often less than 0.01
* The average value of q has been found to be 0.38, with a typical range between 0.3 and 0.5
[[Category:marketing]]

[[Category:model]]

[[Category:term]]

← Older revision		Revision as of 19:16, 27 August 2020
Line 1:		Line 1:
−	~~The~~ Bass ~~diffusion~~ model was developed by Frank Bass and describes the process of how new products get adopted as an interaction between users and potential users. An excel that can help calculate the adoption rate can be downloaded	+	Bass model
−
−	~~<html><a href="/static/files/MBI/Module%2013/Bass%20Diffusion%20Model.xls">here</a></html>~~
−
−	~~(source: http://leeds-faculty.colorado.edu/lawrence/Tools/index.htm)~~
−
−	This model has been widely influential in marketing and management science. In 2004 it was selected as one of the ten most frequently cited papers in the 50-year history of Management Science e Bass diffusion model was developed by Frank Bass and describes the process of how new products get adopted as an interaction between users and potential users.
−
−	~~=Model formulation=~~
−
−	~~<math>\frac{f(t)}{1-F(t)} = p + q F(t)</math>~~
−
−	~~Where:~~
−	* <math>f(t)</math> is the rate of change of the installed base fraction
−	* <math>F(t)</math> is the installed base fraction
−	* <math>p</math> is the coefficient of innovation
−	* <math>q</math> is the coefficient of imitation
−
−	~~Sales <math>S(t)</math> is the rate of change of installed base (i.e. adoption) <math>f(t)</math> multiplied by the ultimate market potential <math>m</math> :~~
−
−	~~<math>S(t)=mf(t)</math>~~
−	~~<math>S(t)</math>=<math>m{ \frac{(p+q)^2}{p}}</math> <math>\Huge \frac{e^{-(p+q)t}}{(1+\frac{q}{p}e^{-(p+q)t})^2}</math>~~
−
−	~~The time of peak sales <math>t^*</math>~~
−
−	~~<math>t^*=\frac{\ln q - \ln p}{p+q}</math>~~
−
−	~~=Explanation=~~
−	The coefficient p is called the coefficient of innovation, external influence or advertising effect. The coefficient q is called the coefficient of imitation, internal influence or word-of-mouth effect.Typical values of p and q when time t is measured in years
−
−	* The average value of p has been found to be 0.03, and is often less than 0.01
−	* The average value of q has been found to be 0.38, with a typical range between 0.3 and 0.5
	[[Category:marketing]]		[[Category:marketing]]

← Older revision		Revision as of 19:51, 27 August 2020
Line 1:		Line 1:
−	Bass model	+	The Bass diffusion model was developed by Frank Bass and describes the process of how new products get adopted as an interaction between users and potential users. An excel that can help calculate the adoption rate can be downloaded
		+
		+	<html><a href="/static/files/MBI/Module%2013/Bass%20Diffusion%20Model.xls">here</a></html>
		+
		+	(source: http://leeds-faculty.colorado.edu/lawrence/Tools/index.htm)
		+
		+	This model has been widely influential in marketing and management science. In 2004 it was selected as one of the ten most frequently cited papers in the 50-year history of Management Science e Bass diffusion model was developed by Frank Bass and describes the process of how new products get adopted as an interaction between users and potential users.
		+
		+	=Model formulation=
		+
		+	<math>\frac{f(t)}{1-F(t)} = p + q F(t)</math>
		+
		+	Where:
		+	* <math>f(t)</math> is the rate of change of the installed base fraction
		+	* <math>F(t)</math> is the installed base fraction
		+	* <math>p</math> is the coefficient of innovation
		+	* <math>q</math> is the coefficient of imitation
		+
		+	Sales <math>S(t)</math> is the rate of change of installed base (i.e. adoption) <math>f(t)</math> multiplied by the ultimate market potential <math>m</math> :
		+
		+	<math>S(t)=mf(t)</math>
		+	<math>S(t)</math>=<math>m{ \frac{(p+q)^2}{p}}</math> <math>\frac{e^{-(p+q)t}}{(1+\frac{q}{p}e^{-(p+q)t})^2}</math>
		+
		+	The time of peak sales <math>t^*</math>
		+
		+	<math>t^*=\frac{\ln q - \ln p}{p+q}</math>
		+
		+	=Explanation=
		+	The coefficient p is called the coefficient of innovation, external influence or advertising effect. The coefficient q is called the coefficient of imitation, internal influence or word-of-mouth effect.Typical values of p and q when time t is measured in years
		+
		+	* The average value of p has been found to be 0.03, and is often less than 0.01
		+	* The average value of q has been found to be 0.38, with a typical range between 0.3 and 0.5
	[[Category:marketing]]		[[Category:marketing]]