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2007, Volume 3, Issue 2: 313-320. Doi: 10.3934/jimo.2007.3.313
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On an optimal control policy for stormwater management in two connected dams

  • 1.

    School of Mathematical Sciences, The University of Adelaide, Australia SA 5005

  • 2.

    Centre for Industrial and Applied Mathematics, Mawson Lakes Campus, University of South Australia, Mawson Lakes, 5095

Received:  August 31, 2006
Revised:  December 31, 2006
Published:  March 2007
Abstract Related Papers Cited by
    Abstract
  • 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. We use a discrete state space and assume random supply and daily demand. A simple management policy is to pump as much water as possible each day from the capture dam to the supply dam without allowing the supply dam to overflow. We shall refer to this policy as pump-to-fill. We will show that pump-to-fill minimizes overflow from the system and maximizes the amount of demand met thus providing the optimal pumping policy between a pair of discrete dams in series with a general input and demand process.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

    Citation:
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