OPTIMAL ADVERTISING IN EXPONENTIALLY DECAYING MARKETS

Authors
DORROH JR FERREYRA G
Citation
Jr. Dorroh et G. Ferreyra, OPTIMAL ADVERTISING IN EXPONENTIALLY DECAYING MARKETS, Journal of optimization theory and applications, 79(2), 1993, pp. 219-236
Citations number
12
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
79
Issue
2
Year of publication
1993
Pages
219 - 236
Database
ISI
SICI code
0022-3239(1993)79:2<219:OAIEDM>2.0.ZU;2-2
Abstract
An optimal advertising singular control problem with unbounded control is formulated in a generalized fashion by introducing a reparametriza tion of time. This reparametrization is a new control. The method of d ynamic programming is then used to determine the optimal synthesis. Af terward, it is easy to drop the reparametrization of time. In this int erpretation, the synthesis shows an impulsive control at the initial t ime.