SavedAdd your journal

Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2016 / Cilt: 6 - Sayı: 1

Optimization of cereal output in presence of locusts

Nacima MOUSSOUNİ
Mohamed AİDENE
Pages
53–61
Publication Date
2022-10-11
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The optimal control problem obtained is solved theoretically by using the PontryaginMaximum Principle, and then numerically with shooting method

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study a modelization of the evolution of cereal output production,controlled by adding fertilizers and in presence of locusts, then by adding insecticides.
📊
Key Findings & Data:The aim isto maximize the cereal output and meanwhile minimize pollution caused by adding fertilizers andinsecticides.
💡
Conclusion & Impact:The optimal control problem obtained is solved theoretically by using the PontryaginMaximum Principle, and then numerically with shooting method
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we study a modelization of the evolution of cereal output production,controlled by adding fertilizers and in presence of locusts, then by adding insecticides. The aim isto maximize the cereal output and meanwhile minimize pollution caused by adding fertilizers andinsecticides. The optimal control problem obtained is solved theoretically by using the PontryaginMaximum Principle, and then numerically with shooting method

🔖

Cite This Article

MOUSSOUNİ, N., AİDENE, M. (2022). Optimization of cereal output in presence of locusts. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 6 - Sayı: 1, 53–61. https://ajindex.com/articles/440692

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (11)

  1. Chitour, Y. Jean, F. and Tr´elat, E., Singular trajectories of driftless and control-affine systems. In Proceedings of 44th IEEE CDCECC’05, S´eville, Spain, (2005)
  2. Chitour, Y. Jean, F. and Tr´elat, E., Propri´et´ees g´en´eriques des trajectoires singuli`eres, C. R. Acad. Sci. Paris, Ser. I, vol. 337, (2003)
  3. Chitour, Y., Jean, F., Tr´elat, E., Genericity results for singular curves. J. Differential Geom., 73 (1), 45-73 (2006)
  4. Cressman, K., Dobson, H.M., Dir´ectives sur le criquet p`elerin: Annexes, Organisation des nations unies pour l’alimentation et l’agriculture (2001)
  5. Frankowska, H., Regularity of minimizers and of adjoint states for optimal control problems under state constraints. J. Convex Analysis, 13, 299-328 (2006)
  6. Stoer, J., Bulirsh, R., Introduction to numerical analysis. Springer-Verlag, (2002)
  7. Ministry of Agriculture, Statistics (2006)
  8. Murray, J.D., Mathematical Biology: II. Spatial Models and Biomedical Applications, (2003)
  9. Moussouni, N., Aidene, M., An Algorithm for optimization of cereal output. Acta Applicandae Mathematicae, 119, 113-127 (2012)
  10. Pontryaguin, L. et al., Mathematical theory of optimal processes. Moscou (1974)
  11. Sethi, S.P and Thompson, G.L. Optimal Control Theory: Applications to Management Science and Economics, Second Edition, Springer (2000).