A fractional optimal control problem for maximizing advertising efficiency

Conference object, Preprint OPEN
Igor Bykadorov; Andrea Ellero; Stefania Funari; Elena Moretti;
(2007)
  • Subject:
    • jel: jel:M37 | jel:C61

We propose an optimal control problem to model the dynamics of the communication activity of a firm with the aim of maximizing its efficiency. We assume that the advertising effort undertaken by the firm contributes to increase the firm's goodwill and that the goodwill ... View more
  • References (15)
    15 references, page 1 of 2

    [1] Bhatt S.K., An existence theorem for a fractional control problem Journal of Optimization Theory and Applications 11 (1973) 379{385.

    [2] Bykadorov I., Ellero A. and Moretti E., Minimization of communication expenditure for seasonal products RAIRO Operations Research 36 (2002) 109{127.

    [3] Dinkelbach W., On nonlinear fractional programming Management Science 13 (1967) 492{ 498.

    [4] Favaretto D., Viscolani B., Optimal purchase and advertising for a product with immediate sale start. Top 4 (1996) 301{318.

    [5] Feichtinger G., Hartl R. F. and Sethi S. P., Dynamic optimal control models in advertising: recent developments. Management Science 40 (1994) 195{226.

    [6] Lilien G.L., Kotler P. and Moorthy K.S., Marketing models.Prentice Hall Int., Englewood Cli®s (1992).

    [7] Little J. D. C., Aggregate advertising models: the state of the art. Operations Research 27, 4 (1979) 629{667.

    [8] Nerlove M. and Arrow K. J., Optimal advertising policy under dynamic conditions. Economica 29 (1962) 129{142.

    [9] L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze and E. F. Mishchenko, The mathematical theory of optimal processes. Pergamon Press, London et al. (1964).

    [10] Seierstad A. and Sydsaeter K., Optimal Control Theory with Economic Applications. North{ Holland, Amsterdam (1987).

  • Metrics
Share - Bookmark