Optimal stormwater management with two dams: the dynamics of the pump-to-fill policy††This article is dedicated with warm affection to the memory of my friend and colleague Alexander Rubinov. View all notes

摘要

We consider the management of water in two connected dams. Stormwater generated by rainfall flows into a large capture dam and is subsequently pumped to a smaller supply dam. Recently it was shown that the twin objectives of minimizing overflow and maximizing the amount of demand met are both achieved by the pump-to-fill policy, in which as much water as possible is pumped each day from the capture dam to the supply dam without allowing the supply dam to overflow. We present a simplifying reparameterization for this case and study the dynamics of the system.