Detention ponds are useful engineering tools to help mitigate the impacts of urban development. Land developers see ponds as loss of developable land and extra added costs. So when designing a pond, both economic and environmental goals need to be considered.
The paper demonstrates a methodology to design a detention pond with the decision variables being the storage volume, pond release rate, and pond depth. The constraints of the model include quality constraints for pollution control and runoff control. The objective function is to minimize costs which includes the value of the land used and the construction cost involved.
There was a discussion on isoquants in the paper which I didn't understand at all.
In this paper, the authors have designed a methodology of optimizing for one pond, and they apply this methodology to a larger scale optimization problem of designing a multiple catchment system. For multiple catchments, they use dynamic programming to solve.
It is interesting to see that by not constraining each catchment to certain parameters but simply restricting the end result of the system, they were able to achieve a 13% reduction in cost.
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