Current projects :
Non Linear Analysis, Geometry and Applications (NLAGA) project. This project takes place in two phases: NLAGA1 (2013-2018) and NLAGA2 (2018-2013) http://nlaga-simons.ucad.sn.
The two main branches of the NLAGA project are:
- Branch 2: Geometry and applications, which has two sections.
The gathering of the various coordinators represents the scientific secretary of the project. The general coordinator and principal investigator of the project is Professor Diaraf SECK.
The main objective of this project is to contribute to the development of nonlinear analysis and geometry and their applications to solve real world problems, such as coastal erosion, urban networks and cancer models. This project involves researchers from Gaston Berger University in Saint-Louis in Senegal; the African Institute of Mathematical Sciences of Senegal; Alioune Diop University in Bambey in Senegal; the Assane SECK University of Ziguinchor in Senegal; the University of Abomey-Calavi in Benin; the Polytechnic University of Bobo-Dioulasso in Burkina Faso; the Universities of Ouaga II and 3S in Burkina Faso; the University of Cocody in Côte d'Ivoire; the École Normale Supérieure de Libreville, Gabon; and the N’Zérékoré University Center in Guinea.
Project members are West African researchers whose mathematical interests meet the main objective of the project. A majority of them were already connected by the first awarded NLAGA project. The other members are former natural collaborators who have expressed their interest in joining the NLAGA network.
- FIRST project: Research action Modeling Analysis of Numerical Systems and Simulations (MASSINU) within the framework of the Impulse Fund for Scientific and Technical Research (FIRST). It is a program created by the Ministry of Scientific Research of Senegal to support economic growth through research. It aims to encourage, stimulate and even amplify research initiatives. In this project we were interested in several issues:
o evolution of tumors,
o image processing,
o transport of sand in the Senegalese coast.
- SDOAgorantic Project: This project is a partnership between the LMDAN of UCAD, the Institute for Transport and Systems Planning of Zurich (Switzerland), the LTI of the Ecole Supérieure Polytechnique de Dakar (ESP-Dakar) and the Avignon Computer Science Laboratory (LIA). We were interested in providing technical answers, making it possible to analyze the questions of location of activities, within the framework of two projects: DAMA (PREDIT funding) and ORTRANS (AUF funding). Locating activities judiciously so as to facilitate movement between activities can be seen as an academic optimization problem consisting in determining the permutation of entities on known locations leading to minimize an optimization criterion.
- ORTRANS projects: Research action Optimization of TRANSport Networks: analysis of flows and location of activities (ORTRANS) which aims to make a contribution within the framework of improving the urban mobility of the cities of Dakar (Senegal) and Niamey (Niger). This research is part of the “Stimulation and valuation of research” project funded by the Agence Universitaire de la Francophonie (AUF). The project is carried out jointly by the LMDAN (Laboratory of Mathematics of Decision and Numerical Analysis, Cheikh Anta Diop University of Dakar (UCAD), Dakar, Senegal), the LTI (Information Processing Laboratory, Ecole Supérieure Polytechnique of Dakar (ESP)), the Faculty of Science and Technology of the Abdou Moumouni University of Niger and the Avignon Computer Laboratory (LIA) of the University of Avignon.
We have proposed resolution models for the Transport Network Design and Activity Location (CR / LA) problem. It consists in determining which arcs to retain and where to locate the activities so as to optimize, overall, a cost criterion of the network thus constructed, then methods of resolution of these models. The methods used come from mathematical programming, a field from which we analyze different formulations and methods of decomposition of the problem.