130,841 research outputs found
Advertising and production of a seasonal good for a heterogeneous market
No full textWe 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 first one, the advertising process can reach selectively each segment. In the second one, one advertising medium is available which has a known effectiveness 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
Politiche ottime di investimento in presenza di incentivi fiscali
No full textRapporto del Dip. di Matematica Applicata, Università Ca' Foscari di Venezi
Determining optimal production and advertising policies for a seasonal product
No full textOPTIMIZATIO
A multiperiod production and advertising problem for a seasonal product
No full textWe consider the problem of a firm which seeks the maximum discounted profit from the offer of a seasonal product on the market. Production and sale of the product take place in two disjoint and consecutive subintervals of each seasonality period, which is repeated infinitely (or finitely) many times. On the other hand, the firm can advertise the product at every time of each seasonality period. The multiperiod problem is formulated as a discrete time dynamic programming problem
A general model for the marketing of seasonal products
No full textWe discuss a general model for the marketing of seasonal products, namely products for which the time intervals devoted to production and sales are distinct. The firm can advertise the product, thus affecting the sales in two different ways, namely directly (customer effect) and indirectly (retailers effect). A two-dimensional goodwill variable represents the (retailes, customers)-advertising capital stock. The dynamics of the system in the sales interval only is analysed, in order to determine the levels of goodwill and inventory at the beginning of such time intervla and subsequent advertising policy, so as to maximize the discounted net profit
Optimal purchase and advertising for a product with immediate sales start
No full textWe consider the problem of maximizing the discounted net profit of a firm which purchases a quantity of some product at a given time and afterwards advertises and sells the product progressively. We distinguish among the three possibilities of assuming the final time to be either fixed, or bounded, or free. In all cases, after stating the problem in the optimal control theory framework, we prove the existence of an optimal solution and characterize it using the Maximum Principle necessary conditions. Furthermore, we prove that the convexity of the purchase cost function is a sufficient condition for the uniqueness of the optimal solution
A single season production and advertising control problem with bounded final goodwill
No full textJOURNAL OF INFORMATION AND OPTIMIZATION SCIENCE
Politiche ottime di comunicazione e produzione per prodotti stagionali: problemi, metodi di analisi e risultati nell'ottica del modello di Nerlove e Arrow
No full textAn online approach for the scheduling of treatment modalities in a rehabilitation department
No full textWorking pape
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