Multicriteria interval goal optimization in the regulation of lake-river systems

The dynamic multicriteria optimization problem related to the regulation of lake-river systems is a challenging one. It is typical that there are strong control constraints imposed by legislation and the hydrophysics as well as multiple environmental criteria and uncertainties due to weather conditions. We will introduce a dynamic goal programming approach to the multicriteria control problem where the dynamic equations represent the system to be optimized. We will compare the methods of using goal intervals and goal points. The expected benefit from using intervals is that it makes the solution smoother or more robust and increases flexibility in solving the problem without sacrificing the regulation goals too much. By relaxing goal points to goal intervals or by combining the two we hope to find better regulation strategies. We use data related to a lake-river system in Finland to demonstrate the solution.