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Solución de un modelo simplificado de publicidad usando técnicas de control óptimo

Keywords: advertising model, optimal control, concentrated parameters, pontryagin maximum principle.

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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.

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