Optimal control of a water reservoir with expected value–variance criteria

✍ Scribed by Andrzej Karbowski; Przemysław Magiera

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 408 KB
• Volume: 28
• Category: Article
• ISSN: 0143-2087
• DOI: 10.1002/oca.784

✦ Synopsis

Abstract

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. Copyright © 2006 John Wiley & Sons, Ltd.