Solution of a simplified advertising model using optimal control techniques
This article presents a simplification to the distributed advertising model, formulating it as a family of optimal control problems with concentrated parameters. Two simplified variants are studied: linear and nonlinear. An analytical solution derived from the principle of maximum is provided for th...
- Autores:
-
Tuchnolobova, Ekaterina
Terletskii, Viktor
Vasilieva, O
- Tipo de recurso:
- Fecha de publicación:
- 2011
- Institución:
- Universidad EAFIT
- Repositorio:
- Repositorio EAFIT
- Idioma:
- spa
- OAI Identifier:
- oai:repository.eafit.edu.co:10784/14476
- Acceso en línea:
- http://hdl.handle.net/10784/14476
- Palabra clave:
- Advertising Model
Optimal Control
Concentrated Parameters
Maximum Principle Of Pontryagin
Modelo De Publicidad
Control Óptimo
Parámetros Concentrados
Principio De Máximo De Pontryagin
- Rights
- License
- Copyright (c) 2011 Ekaterina Tuchnolobova, Viktor Terletskii, O Vasilieva
| Summary: | This article presents a simplification to the distributed advertising model, formulating it as a family of optimal control problems with concentrated parameters. Two simplified variants are studied: linear and nonlinear. An analytical solution derived from the principle of maximum is provided for the linear model. To solve the nonlinear model, a numerical algorithm is built based on two unconventional formulas for increasing the objective functional. |
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