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Optimal Control in a Mathematical Model for the Occurrence of Electronic Cheating in Certification Exams; Baccalaureate Exams in Morocco as an Example

Author

Listed:
  • Abdelbar El Mansouri

    (Khouribga Polydisciplinary Faculty, Sultan Moulay Slimane University)

  • Bouchaib Khajji

    (Hassan II University of Casablanca)

  • Abderrahim Labzai

    (Hassan II University of Casablanca)

  • Mohamed Belam

    (Khouribga Polydisciplinary Faculty, Sultan Moulay Slimane University)

Abstract

Researchers across a range of fields have raised concerns about the serious rise in the phenomenon of school cheating among pupils and students, which has a negative impact on the quality of education and training. This is because cheating has gone from being an unacceptable act to being a” legitimate right” for a large group of students. Here, we offer a model using mathematics to attempt to understand how this scandalous occurrence spreads among Moroccan students, particularly those in their second year of baccalaureate, and we also examine the effectiveness of some of the suggested solutions. Our method leverages Pontryagin’s maximum principle to identify the best control strategies, and we then apply iterative methods to solve the system that results. Lastly, we validate our theoretical analysis with numerical simulations conducted using MATLAB.

Suggested Citation

  • Abdelbar El Mansouri & Bouchaib Khajji & Abderrahim Labzai & Mohamed Belam, 2024. "Optimal Control in a Mathematical Model for the Occurrence of Electronic Cheating in Certification Exams; Baccalaureate Exams in Morocco as an Example," SN Operations Research Forum, Springer, vol. 5(4), pages 1-25, December.
    • Handle: RePEc:spr:snopef:v:5:y:2024:i:4:d:10.1007_s43069-024-00378-w
    DOI: 10.1007/s43069-024-00378-w
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    References listed on IDEAS

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    1. Jan R. Magnus & Victor M. Polterovich & Dmitri L. Danilov & Alexei V. Savvateev, 2002. "Tolerance of Cheating: An Analysis Across Countries," The Journal of Economic Education, Taylor & Francis Journals, vol. 33(2), pages 125-135, June.
    2. Lucifora, Claudio & Tonello, Marco, 2015. "Cheating and social interactions. Evidence from a randomized experiment in a national evaluation program," Journal of Economic Behavior & Organization, Elsevier, vol. 115(C), pages 45-66.
    3. Folashade B Agusto & Ibrahim M ELmojtaba, 2017. "Optimal control and cost-effective analysis of malaria/visceral leishmaniasis co-infection," PLOS ONE, Public Library of Science, vol. 12(2), pages 1-31, February.
    4. C. L. Hwang & L. T. Fan, 1967. "A Discrete Version of Pontryagin's Maximum Principle," Operations Research, INFORMS, vol. 15(1), pages 139-146, February.
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