Solution of a simplified advertising model using optimal control techniques

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Ekaterina Tuchnolobova
Universidad Estatal de Irkutsk, Irkutsk.

Viktor Terletskii
Universidad Estatal de Irkutsk, Irkutsk.

O Vasilieva
Universidad del Valle
http://orcid.org/0000-0002-1886-2528

Keywords

advertising model, optimal control, concentrated parameters, Pontryagin maximum principle.

Abstract

In this article we present a simplification of the distributed model of advertising by formulating it as a family of optimal control problems with concentrated parameters. We consider two simplified models: linear and non-linear. Linear model is solved analytically using the maximum principle. To solve non-linear model, we construct a numerical algorithm based on two nonconventional increment formulae for the objective functional.

MSC : 49N05

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References

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How to Cite
Tuchnolobova, E., Terletskii, V., & Vasilieva, O. (2011). Solution of a simplified advertising model using optimal control techniques. Ingeniería Y Ciencia, 7(13), 161–183. Retrieved from https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/406
Issue
Vol. 7 No. 13 (2011)
Section
Articles
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Author Biographies

Ekaterina Tuchnolobova, Universidad Estatal de Irkutsk, Irkutsk.

Licenciada en Economía Matemática, estudiante de doctorado

O Vasilieva, Universidad del Valle

PhD in Engineering, PhD in Physical Sciences and Mathematics.

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