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Solving the Crop Allocation Problem using Hard and Soft Constraints∗

Published online by Cambridge University Press:  18 April 2013

Mahuna Akplogan ,
Simon de Givry ,
Jean-Philippe Métivier ,
Gauthier Quesnel ,
Alexandre Joannon  and
Frédérick Garcia
Mahuna Akplogan
Affiliation:
INRA, UR 875 Biométrie et Intelligence Artificielle, 31326 Toulouse. makploga@toulouse.inra.fr, degivry@toulouse.inra.fr, gquesnel@toulouse.inra.fr, fgarcia@toulouse.inra.fr
Simon de Givry
Affiliation:
INRA, UR 875 Biométrie et Intelligence Artificielle, 31326 Toulouse. makploga@toulouse.inra.fr, degivry@toulouse.inra.fr, gquesnel@toulouse.inra.fr, fgarcia@toulouse.inra.fr
Jean-Philippe Métivier
Affiliation:
GREYC-CNRS, UMR 6072, Université de Caen, 14032 Caen; jean-philippe.metivier@unicaen.fr
Gauthier Quesnel
Affiliation:
INRA, UR 875 Biométrie et Intelligence Artificielle, 31326 Toulouse. makploga@toulouse.inra.fr, degivry@toulouse.inra.fr, gquesnel@toulouse.inra.fr, fgarcia@toulouse.inra.fr
Alexandre Joannon
Affiliation:
INRA, UR 980 SAD-Paysage, 35042 Rennes; joannon@rennes.inra.fr
Frédérick Garcia
Affiliation:
INRA, UR 875 Biométrie et Intelligence Artificielle, 31326 Toulouse. makploga@toulouse.inra.fr, degivry@toulouse.inra.fr, gquesnel@toulouse.inra.fr, fgarcia@toulouse.inra.fr
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Abstract

Application tools for the crop allocation problem (CAP) are required for agricultural advisors to design more efficient farming systems. Despite the extensive treatment of this issue by agronomists in the past, few methods tackle the crop allocation problem considering both the spatial and the temporal aspects of the CAP. In this paper, we precisely propose an original formulation addressing the crop allocation planning problem while taking farmers’ management choices into account. These choices are naturally represented by hard and soft constraints in the Weighted CSP formalism. We illustrate our proposition by solving a medium–size virtual farm using either a WCSP solver (toulbar2) or an ILP solver (NumberJack/SCIP). This preliminary work foreshadows the development of a decision–aid tool for supporting farmers in their crop allocation strategies.

Keywords

Weighted constraint satisfaction probleminteger linear programmingcrop allocation problem
Type
Research Article
Information
RAIRO - Operations Research , Volume 47 , Issue 2: Constraint Programming , April 2013 , pp. 151 - 172
Copyright
© EDP Sciences, ROADEF, SMAI, 2013

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