Abstract
The mathematical tools applicable in the field of river quality management are reviewed in the order in which they are used in the actual process of building and applying river quality models. The types of models and their properties are discussed, and the important problem of parameter estimation is examined. The use of the models in steady-state and real-time optimal control studies is investigated. Finally, the embedding of river quality control problems into problems of wider scope is discussed. The methodologies are illustrated by applications to the Rhine river.
Zusammenfassung
Die mathematischen Methoden, die man in der Wassergüterwirtschaft anwenden kann, werden diskutiert, und zwar in der Reihenfolge, in der sie bei der aktuellen Problemlösung benutzt werden: Zunächst werden die Typen mathematischer Gewässergütemodelle und ihre Eigenschaften erörtert, danach wird auf das Problem der Parameterschätzung eingegangen. Dann wird die Benutzung der Gütemodelle zur Lösung von Problemen der optimalen Steuerung erläutert, wobei unterschieden wird zwischen stationären und instationären Problemen. Abschließend wird diskutiert, wie die klar definierten Probleme der optimalen Steuerung in den weiteren Kontext der Wassergütewirtschaft einzubetten sind. Die verschiedenen Methoden werden illustriert durch Anwendungsbeispiele, die sich alle auf den Rhein beziehen.
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Revised version of a paper read at the Annual Meeting of the Deutsche Gesellschaft für Operations Research, Regensburg, Germany, September 19–21, 1979
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Stehfest, H. Application of systems theory and operations research to river quality management. OR Spektrum 2, 193–206 (1981). https://doi.org/10.1007/BF01721008
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DOI: https://doi.org/10.1007/BF01721008