Abstract
Algeria is rich country, it uses fertilizers to improve its cereal production as it is usually known. However, Algerian farmers use fertilizers in a bad manner and in a quite random way. This causes both ground, water pollution, and a loss of output. In the present paper we study a modelization of the evolution of the cereal output production controlled by means of adding fertilizers. We set an optimal control problem where we aim at maximizing the cereal output and meanwhile minimizing pollution effects. We solve theoretically this optimal control problem with the Pontryagin Maximum Principle and then provide different numerical methods to implement it: indirect methods based on the shooting method and direct methods based on a combination of AMPL with IPOPT.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
