48 research outputs found
Advertising policies for a museum temporary exhibition
Dipartimento di Matematica Applicata, Università Ca' Foscari di Venezi
Advertising andproduction of a seasonal good for a heterogeneous market
We bring some concepts from market segmentation, which is a
fundamental topic of marketing theory and practice, into the statement of
an advertising and production problem for a seasonal product with Nerlove-
Arrow's linear goodwill dynamics. We consider two kinds of situations. In
the rst one the advertising process can reach selectively each segment.
In the second one one advertising medium is available which has a known
eectiveness spectrum for a non-trivial set of segments. In both cases we
solve, using the Pontryagin's Maximum Principle conditions, the optimal
control problems in which goodwill productivity of advertising is concave
and good production cost is convex. Two special cases are discussed in
detail
Local search solution of a museum advertising problem via the analysis of linear optimal control problems
Dipartimento di Matematica Applicata, Università Ca' Foscari di Venezi
On an environmental sustainability problem
Beltratti et al proposed an environmental sustainability problem and stressed the importance of two related control problems, namely, the discounted utilitarian problem and the long-run utility problem. From the analysis of the latter, they obtained the definition of the Green Golden Rule (GGR). We discuss the optimal steady-state solutions of the first problem and provide new results, completing the known information on it. Then we tackle the second problem and its equivalent NLP problem of maximizing the steady-state utility. We obtain that the solutions to the NLP problem depend on the capital accumulation features, like those of the first problem. This corrects and completes the original analysis of the GGR
A single season production and advertising control problem with bounded final goodwill
JOURNAL OF INFORMATION AND OPTIMIZATION SCIENCE
Determining optimal production and advertising policies for a seasonal product
OPTIMIZATIO
A dynamic advertising model in a vaccination campaign
Vaccines save thousands of lives every year, but many people remain unvaccinated because serious adverse neurological disorders are wrongly attributed to vaccination. The \u201curban myth\u201d of a relevant vaccine-associated risk is sustained by anti-vaccination groups and it is spread by word-of-mouth communication. We face the problem of increasing the vaccination coverage using an approach which draws some elements from the theory of dynamic advertising models. We propose a dynamic model for the evolution of the number of unvaccinated people and assume that a policy-maker can control this dynamics through advertising. From a mathematical point of view, we state and analyze an optimal control problem with a pure state constraint. We find the unique optimal solution, which minimizes a cost functional, but may fail to be satisfactory from the different viewpoint of moving towards eradication of the disease. Our analysis suggests that we modify the problem statement in order to consider explicitly the goal of reducing the number of unvaccinated people, to a level which guarantees the herd immunity. Hence we introduce an upper bound to the final number of unvaccinated people. From the solutions to the two problems we obtain some prescriptions for the policy-maker