Numerical Solutions to Some Optimal Control Problems Arising fromInnovation Diffusion

Authors:
Luigi De Cesare;Andrea Di Liddo;Stefania Ragni
Affiliations:
Facoltà di Economia, Università di Lecce, Ecotekne, Lecce, Italy l.decesare@economia.unile.it;Facoltà di Economia, Università di Foggia, Via IV Novembre 1, Foggia, Italy a.diliddo@unifg.it;Facoltà di Economia, Università di Bari, Via Camillo Rosalba 53, Bari, Italy irmasr18@area.ba.cnr.it
Venue:
Computational Economics
Year:
2003

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Abstract

In this paper we propose a numerical approach for the solution of some optimalcontrol problems arising in the field of marketing decision models. Inparticular, we account for a specific innovation diffusion model. A numericalapproach may be useful to investigate some features of state variables andparameters of interest. The discrete problem is solved by the SimulatedAnnealing method and the resulting numerical scheme is applied to some testcases.