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

Abdelbar El Mansouri (), Bouchaib Khajji (), Abderrahim Labzai () and Mohamed Belam ()
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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

SN Operations Research Forum, 2024, vol. 5, issue 4, 1-25

Abstract: 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.

Keywords: School cheating; Objective functional; Academic performance; Cheating practices; Pontryagin’s maximum principle; 34K35; 34K28; 49J25; 93C15; 34H05 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s43069-024-00378-w

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