Dynamics and Optimization of a Distributed Sales-Advertising Model

Journal of Optimization Theory and Applications, Vol. 52, No. 3, pp. 443-461, March 1987

20 Pages Posted: 5 Apr 2008 Last revised: 11 May 2017

See all articles by Thomas I. Seidman

Thomas I. Seidman

UMBC

Suresh Sethi

University of Texas at Dallas - Naveen Jindal School of Management

N. A. Derzko

University of Toronto

Date Written: 1987

Abstract

A general sates-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.

Keywords: sales-advertising models, population dynamics, optimal control, distributed parameter systems, diffusion models

JEL Classification: M3, M31, M37, C61

Suggested Citation

Seidman, Thomas I. and Sethi, Suresh and Derzko, Nicholas, Dynamics and Optimization of a Distributed Sales-Advertising Model (1987). Journal of Optimization Theory and Applications, Vol. 52, No. 3, pp. 443-461, March 1987, Available at SSRN: https://ssrn.com/abstract=1116809

Thomas I. Seidman

UMBC ( email )

Baltimore, MD 21250
United States
410-455-2438 (Phone)

HOME PAGE: http://www.math.umbc.edu/~seidman

Suresh Sethi (Contact Author)

University of Texas at Dallas - Naveen Jindal School of Management ( email )

800 W. Campbell Road, SM30
Richardson, TX 75080-3021
United States

Nicholas Derzko

University of Toronto ( email )

105 St George Street
Toronto, Ontario M5S 3G8
Canada

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