Dynamics and optimization of a distributed sales-advertising model

A general sales-advertising model is developed in which the state of the system represents a population distribution over a parameter space. With appropriate interpretations, this can include income, family size, geographic distributions, etc. Effects of information diffusion, interaction, and popul...

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Bibliographic Details
Published in:Journal of optimization theory and applications 1987-03, Vol.52 (3), p.443-462
Main Authors: Seidman, T. I., Sethi, S. P., Derzko, N. A.
Format: Article
Language:English
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Summary:A general sales-advertising model is developed in which the state of the system represents a population distribution over a parameter space. With appropriate interpretations, this can include income, family size, geographic distributions, etc. Effects of information diffusion, interaction, and population migration are included. Under fairly general conditions, it is shown that such model are well posed and that there exists an optimal control.
ISSN:0022-3239
1573-2878
DOI:10.1007/BF00938216