| Article ID: | iaor19972427 |
| Country: | United Kingdom |
| Volume: | 18 |
| Issue: | 1 |
| Start Page Number: | 59 |
| End Page Number: | 72 |
| Publication Date: | Jan 1997 |
| Journal: | Optimal Control Applications & Methods |
| Authors: | Edie Richard D. |
| Keywords: | advertising, programming: dynamic |
The Vidale-Wolfe advertising model is a singular optimal control problem with a non negative control. Sufficient conditions on a generalized time-varying market, for which a solution can be found, are given. Time is parametrized to describe impulsive optimal trajectories in a conventional manner. The solution is then found and verified by using the Hamilton-Jacobi-Bellman eqution on the parametrized problem.