Advertising for the introduction of an age‐sensitive product | Zendy

Grosset Luca | Zendy; Viscolani Bruno | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Advertising for the introduction of an age‐sensitive product

Author(s) -

Grosset Luca,

Viscolani Bruno

Publication year - 2005

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.758

Subject(s) - goodwill , product (mathematics) , computer science , order (exchange) , set (abstract data type) , channel (broadcasting) , mathematical optimization , process (computing) , advertising , mathematical economics , mathematics , economics , business , telecommunications , geometry , finance , programming language , operating system

An age‐dependent market segmentation is often observed for real life products. We introduce a simple age‐structured model for the advertising process of a firm and the consequent goodwill evolution. The model formal structure is characterized by a first order linear partial differential equation. We formulate the advertising problem for a new product introduction as a distributed parameter optimal control problem and solve it using the suitable maximum principle conditions. Then, we discuss and solve the same problem under the assumption that a finite set of boundedly age‐selective advertising channels are available, instead of one infinitely age‐selective channel. Copyright © 2005 John Wiley & Sons, Ltd.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research