Issue: 2003/Vol.13/No.1, Pages 45-58
FORECASTING OF A GENERAL NUMBER OF THE SPECIFIED PRODUCT BUYERS GENERATED BY A DIFFUSION MODEL
Jan Mikuś
Cite as: J. Mikuś. Forecasting of a general number of the specified product buyers generated by a diffusion model. Operations Research and Decisions 2003: 13(1), 45-58.
Abstract
The solution of the linear differential equation that is a diffusion model (proposed by W. Bass) of the market product is given. Based on the time dependent diffusion process model, a forecast of the general number of the specified product buyers is determined. Taking a diffusion process of mass media information and oral communication as a Markov process, the density for different types of the translocation and diffusion coefficients is determined. The appropriate forecasting problem is formulated and solved under some assumptions as one of the typical problems solved with the help of the random functions theory.
Keywords: linear differential equation, diffusion model, market, mass media, forecasting problem, random function
Received: Accepted: