Faculté des mathématiques et de l'informatique
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Item On the efficiency of the transformation-based template protection algorithms(university of bordj bou arreridj, 2025) Zineb MaarefWith the intense proliferation of biometric identification systems (BIS), several security con cerns about the vulnerability of the user templates have emerged. Indeed, unlike the conven tional security systems that are based on passwords or tokens which are renewable, a biometric template is not renewable once compromised. In addition, a compromised template can reveal the original biometric data, which constitutes a clear threat, as it can be used to track the user from one application to another. In fact, new algorithms have been proposed in the literature to reconstitute the original biometric trait by using the extracted features, attacking the stored features makes it possible to reconstruct the user’s fingerprint, face, or other biometric trait in order to usurp the identity of another person or entity. For these reasons, cancelable biometric template protection methods have been proposed to overcome these problems. Their basic idea is to transform the biometric data and achieve the matching in the transformed domain. The transform function must simultaneously fulfill the following four properties: non-invertibility, cancelability, accuracy and diversity. The non-invertibility property guarantees that the origi nal biometric data can’t, or it is hard to, be recovered even if some parameters of the transform function are known. This is generally ensured by the non-existence of the inverse transform function (one-to-many inverse-transformation) or by, simply, making the search-space size very large to escape to a brute-force attack. This thesis aims to investigate the robustness of cancelable biometric systems by analyzing and classifying various attacks targeting these systems based on well-defined criteria to enhance their security level. Additionally, it proposes a comprehensive evaluation framework grounded in stringent standards to assess the effectiveness of protection schemes against such attacks. Furthermore, a protection system for palmprint templates is implemented using irreversible transformation, ensuring a high level of security while ensuring the practical characteristics of these systems. On the other hand, we are interested in transformation-based techniques that establish a map ping between the original biometric template points and the transformed template. An attack against a cancelable fingerprint scheme is conducted to demonstrate the possibility of inverting the transformation function and to analyze the impact of correlation between multiple instances of protected templates generated from the same biometric trait on the efficiency of such algo rithms.Item Sur les équations intégo-différentielles et la méthode des éléments finis(university of bordj bou arreridj, 2025) ZERAIBI KhalissaThe main objective of this thesis is to propose a theoretical and numerical study on lin ear integro-differential equations. we used Lax Milgram theorems to provide existence and uniqueness results for linear integro-differentials. In addition, we applied the finite element method for the approximate solution of some linear integro-differential equations. Finally, several numerical examples are given to show the effectiveness of our approaches.Item Issues de la simulation basée crowdsourcing pour l’informatique verte(university of bordj bou arreridj, 2025) Bilal BENCHARIFIn this thesis, we propose an innovative approach to optimize logistics systems by integrating crowdsourced real-time data collected via the Google Distance Matrix API. By leveraging a probabilistic tabu search algorithm, we have developed a framework ai med at improving the management of delivery routes in the context of green computing. Experiments conducted on both simulated and real data reveal that speed has a decisive impact on energy consumption. Furthermore, the analysis demonstrates that the trave led distance alone is not a reliable indicator of energy usage—indeed, a longer route does not necessarily imply higher energy consumption, especially when coupled with optimized traffic conditions. These results underscore the potential of collaborative approaches in transforming sustainable logistics and open up new perspectives for optimizing transpor tation systeItem Accélération de la convergence de méthodes numériques pour résoudre des équations intégrales(university of bordj bou arreridj, 2025) ABDENNEBI IssamThe research work presented in this thesis focuses on improving the convergence speed of numerical methods for solving integral equations. These equations often introduce a very complex behavior, posing significant challenges to traditional numerical techniques, par ticularly in terms of convergence and accuracy. To address these challenges, we have de veloped and analyzed an adaptive spectral collocation method for Fredholm and Volterra integral equations of the second kind, which can achieve fast convergence and high ac curacy despite the fact that its solution exhibits localized rapid variations, steep gradi ents, or a steep front. Adaptivity is implemented using a suitable family of one-to-one mappings to generate a new equation with smoother behavior that can be approximated more accurately. The proposed method can achieve exponential accuracy by adjusting a parameter-dependent mapping in the modal approximation according to the given data. Finally, several numerical examples are given to show that the proposed method is prefer able to its classical method and some other existing approaches with a relatively smaller number of degrees of freedomItem Sur quelques problèmes d’évolution paraboliques(university of bordj bou arreridj, 2024) ILEAM HEDDADJIThe aim of this thesis is to study the theory of sums of linear operators and the theory of semigroups in Banach space and how to apply them to differential equations and partial differential equationsItem Optimisation par simulation de la gestion de stocks en avenir aléatoire(Université Mohamed El Bachir El Ibrahimi B.B.A., 2021) Larrasse Imane ; Houamed Kenza; Houamed KenzaFor several decades, companies have generally seen their fund inflows decrease. Some companies are required to maintain fairly high inventory levels in order to provide excellent customer service. In such a context, importance of properly managing inventory is crucial. Another interesting fact is that inventory management is no longer perceived as a narrow discipline and simply associated with specific issues such as determining the quantities to order and their delivery times when these are fixed, the resolution is simple if not. This is not the case therefore the structural analysis and the optimal policy calculation, the resolution is by Monte Carlo simulation methods are generally applicable.Item Mod´elisation math´ematique et optimisation du probl`eme de planification de l’emploi du temps.(Université Mohamed El Bachir El Ibrahimi B.B.A., 2024) Assas Ichraq; Sakhraoui HibaThis thesis explores the challenges of timetable planning, focusing on time management in university course timetables. Tests were carried out on different datasets using a programming solver (FICO Xpress), showing encouraging results for the problems. However, it was necessary to simplify the formulation in order to improve the computation time and the quality of the solution for difficulties of medium to large size. In summary, this paper highlights the continuing importance of seeking new approaches to the crucial challenge of timetabling in universities.Item IMAGE SYNTHESIS(2024) SAIFI ABDELHAMIDItem Analysis IV(university of bordj bou arreridj, 2024) FARES BENSAIDItem Analysis III(university of bordj bou arreridj, 2024) FARES BENSAID