ON THE OPTIMAL-CONTROL OF THE VIDALE-WOLFE ADVERTISING MODEL

Authors
EDIE RD
Citation
Rd. Edie, ON THE OPTIMAL-CONTROL OF THE VIDALE-WOLFE ADVERTISING MODEL, Optimal control applications & methods, 18(1), 1997, pp. 59-72
Citations number
5
Categorie Soggetti
Controlo Theory & Cybernetics","Operatione Research & Management Science",Mathematics
Journal title
Optimal control applications & methods → ACNP
ISSN journal
01432087
Volume
18
Issue
1
Year of publication
1997
Pages
59 - 72
Database
ISI
SICI code
0143-2087(1997)18:1<59:OTOOTV>2.0.ZU;2-X
Abstract
The Vidale-Wolfe advertising model is a singular optimal control probl em with a non negative control. Sufficient conditions on a generalized time-varying market, for which a solution can be found, are given. Ti me is parametrized to describe impulsive optimal trajectories in a con ventional manner. The solution is then found and verified by using the Hamilton-Jacobi-Bellman equation on the parametrized problem. (C) 199 7 John Wiley & Sons, Ltd.