About optimal crop irrigation planing under water scarcity

Abstract : We study theoretically on a simple crop model the problem of optimizing the crop biomass at harvesting date, choosing the temporal distribution of water under the constraint of a total water volume available for the season. We show with the tools of the optimal control theory that the optimal solution may present a singular arc, under a lower water availability, which leads to a bang-singular-bang solution. This differs from the usual irrigation policies under water scarcity, which are bang-bang.
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https://hal.archives-ouvertes.fr/hal-02263850
Contributor : Alain Rapaport <>
Submitted on : Monday, August 5, 2019 - 7:56:56 PM
Last modification on : Tuesday, August 6, 2019 - 1:19:48 AM

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Kenza Boumaza, Nesrine Kalboussi, Alain Rapaport, Sebastien Roux. About optimal crop irrigation planing under water scarcity. Sixth International Conference on Continuous Optimization ICCOPT 2019, Aug 2019, Berlin, Germany. ⟨hal-02263850⟩

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