A mathematical model of optimal control for addictive buying: predicting the population behavior
Keywords:
Addictive buying, Compartmental model, Compulsive buying, Modeling, Optimal ControlAbstract
This article deals with the construction of an optimal control problem model for addictive buying. In our model, we divided the population into three classes rational buyers, excessive buyers, and addictive buyers. The division of the total population into subgroups according to activity or identifications of consumer's buying behavior was done by multivariate statistical techniques based on real databases and sociological approaches. The future short term addicted population is computed assuming several future economic scenarios. The forward-backward sweep method is developed to solve the optimal control problem models for addictive buying.
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