Solution of a simplified advertising model using optimal control techniques

Ingeniería y Ciencia

Terletskii, Viktor¹  Tuchnolobova, Ekaterina¹  Vasilieva, Olga² 

[1] Universidad Estatal de Irkutsk, Irkutsk, Rusia;Universidad del Valle, Cali, Colombia

关键词: advertising model;    optimal control;    concentrated parameters;    Pontryagin maximum principle;   

DOI  :  

学科分类：工程和技术（综合）

来源: Universidad E A F I T

【 摘 要 】

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.

【 授权许可】

CC BY