Abstract

TUCHNOLOBOVA, Ekaterina; TERLETSKII, Viktor  and  VASILIEVA, Olga. Solution of a simplified advertising model using optimal control techniques. ing.cienc. [online]. 2011, vol.7, n.13, pp.161-183. ISSN 1794-9165.

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.

Keywords : advertising model; optimal control; concentrated parameters; Pontryagin maximum principle.

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