The advertising activity has an important role in the introduction of a new product. We tackle the problem of determining the advertising plan for preparing the product introduction, having the objectives of maximizing the product image at the launch time, minimizing the campaign length and...

The problem of a firm willing to optimally promote and sell a single product on the market is here undertaken. The awareness of such product is modeled by means of a Nerlove–Arrow goodwill as a state variable, differentiated jointly by means of time and of age of the segments in which the...

We analyze the connection between the optimal solutions of minimum time and fixed final time optimal control problems. We discuss some controllability conditions which guarantee the equivalence of the two problems. In fact, under such conditions, not only does an optimal control...