The optimal control problem of determining advertising efforts for a seasonal good in a heterogeneous market is considered. We characterize optimal advertising exposures under different conditions: the general situation in which several wide-spectrum media are available, under the assumption of...

We analyze a case study and we model it as a variant of the Traveling Salesman Problem. It is characterized by multiple time windows, variable service duration, priority constraints, and appointments with customers. The definition of the feasible region differs from the classical one: a maximum...

In this paper we analyze a stochastic dynamic advertising and pricing model with isoelastic demand. The state space is discrete, time is continuous and the planing horizon is allowed to be finite or infinite. A dynamic version of the Dorfman–Steiner identity will be derived. Explicit...

Market segmentation is a fundamental topic of marketing theory and practice. We bring some market segmentation concepts into the statement of an advertising and production problem for a seasonal product with Nerlove-Arrow's linear goodwill dynamics, along the lines of some analyses concerning...

The paper adapts a static model of television advertising into a dynamic scenario. In its original form, the model consists on a profit maximization problem of a television network working in a competitive environment. The network sells commercial time to advertisers and tries to minimize the...

Decision on the use of different advertising media is a critical issue in marketing. Drawing on some literature related to the dynamic Nerlove-Arrow model, we propose a nonlinear programming framework for discussing how different advertising media may jointly affect the demand for a good....

We propose a dynamic direct mailing response model with competitive effects, where purchase and promotion history are incorporated. We then map the dynamic competitive interactions amongst the firms sending the mailings. We investigate the short- and long-run impact of a direct mailing on the...

This paper reports a new theorem and proof for optimizing the advertising budget. The theorem is that the optimal rate of advertising is equal to gross profit multiplied by advertising elasticity. This does not involve a ratio of elasticities, and so is an advance on the Dorfman-Steiner theorem...

Segmentation is a core strategy in modern marketing, and age-specific segmentation based on the age of the consumers is very common in practice. Age-specific segmentation enables the change of the segments composition during time and can be studied only by means of dynamic advertising models....