Dynamics and optimization of a distributed sales advertising model
type: Item
instance of: scholarly article
title: Dynamics and optimization of a distributed sales advertising model
zbMATH Open document ID: 0585.90055
DOI: 10.1007/BF00938216
author: N. A. Derzko
author: Thomas I. Seidman
author: Suresh P. Sethi
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: 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 models are well-posed and that there exists an optimal control.
Mathematics Subject Classification ID: 90B99
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 93B99
zbMATH DE Number: 3939087
zbMATH Keywords: sales-advertising model
zbMATH Keywords: information diffusion
zbMATH Keywords: interaction
zbMATH Keywords: population migration
zbMATH Keywords: optimal control
zbMATH Keywords: distributed parameter systems
zbMATH Keywords: marketing
MaRDI profile type: Publication
cites work: Feature Article—Aggregate Advertising Models: The State of the Art
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cites work: Q4085497
description: scientific article; zbMATH DE number 3939087