Solution of a simplified advertising model using optimal control techniques

Main Article Content

Ekaterina Tuchnolobova
Viktor Terletskii
O Vasilieva 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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