| Article ID: | iaor20081917 |
| Country: | United Kingdom |
| Volume: | 28 |
| Issue: | 1 |
| Start Page Number: | 3 |
| End Page Number: | 20 |
| Publication Date: | Jan 2007 |
| Journal: | Optimal Control Applications & Methods |
| Authors: | Karbowski Andrzej, Magiera Przemysaw |
| Keywords: | control, lagrange multipliers, programming: dynamic, programming: linear, programming: multiple criteria, developing countries |
The article presents how to solve a reservoir management problem, which has been formulated as a two-criteria stochastic optimal control problem. Apart from the expected value of a performance index, its variance is also considered. Three approaches are described: a method based on the Lagrange function; a method based on the ordinary moment of the second order (finite time horizon); and a method based on linear programming (infinite time horizon). In the second part of the article, they are assessed in a case study concerning a reservoir in the southern part of Poland.