Optimal advertising in growing‐stabilizing markets | Zendy

Dorroh J. R. | Zendy; Ferreyra Guillermo | Zendy

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Optimal advertising in growing‐stabilizing markets

Author(s) -

Dorroh J. R.,

Ferreyra Guillermo

Publication year - 1993

Publication title -

optimal control applications and methods

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.458

H-Index - 44

eISSN - 1099-1514

pISSN - 0143-2087

DOI - 10.1002/oca.4660140308

Subject(s) - parametrization (atmospheric modeling) , constant (computer programming) , dynamic programming , product (mathematics) , optimal control , value (mathematics) , control (management) , mathematical optimization , computer science , mathematics , artificial intelligence , physics , geometry , quantum mechanics , programming language , radiative transfer , machine learning

The method of dynamic programming is used to determine the optimal synthesis of an advertising problem. The market of the product in question grows exponentially up to a time when it stabilizes at a constant value. The problem is singular and with an unbounded control. A parametrization of time is introduced to deal with these difficulties.

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