New Mathematical Optimization Approaches for LID Systems

Urbanization affects ecosystem health and downstream communities by changing the natural flow regime. In this context, Low Impact Development (LID) systems are important tools in sustainable development. There are many aspects in design and operation of LID systems and the choice of the selected LID and its location in the basin can affect the results. In this regard, the Mathematical Optimization Approaches can be an ideal method to optimize LIDs use. Here we consider the application of TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) and Rough Set theory (multiple attributes decision-making method). An advantage of using the Rough Set method in LID systems is that the selected decisions are explicit, and the method is not limited by restrictive assumptions. This new mathematical optimization approach for LID systems improves previous studies on this subject. Moreover, it provides an additional tool for the analysis of essential attributes to select and optimize the best LID system for a project.