Mathematics for Decision Support
The Mathematics and Operations Research for Engineering (GMI) Department is dedicated to research and innovation in applied mathematics and industrial engineering. It develops advanced quantitative methods to optimize business performance, design robust systems, and account for uncertainty in various industrial contexts.
Head of Department
Xavier Delorme
Email: delorme@mines-stetienne.fr
Phone: +33 4 77 42 01 85
Areas of Expertise
The department has recognized expertise in advanced quantitative methods and their application to industrial and complex systems. Its know-how is divided into scientific skills and targeted areas of intervention.
Core Competencies
GMI’s work is based on fundamental skills in modeling, optimization, and data analysis, applied to industrial and societal issues.
- Combinatorial and multi-objective optimization
Development of algorithms for solving complex problems (transport, logistics, system design). - Modeling and simulation of complex systems
Creation of mathematical and numerical models to predict and analyze industrial phenomena. - Decision-making under uncertainty
Development of methods to manage uncertainty in strategic and operational choices. - Statistical analysis and applied artificial intelligence
Exploitation of big data for forecasting and optimizing industrial performance. - Machine learning and constrained optimization
Development of robust AI models integrating physical and economic constraints. - Reliability, predictive maintenance, and risk management
Implementation of tools to guarantee system performance and safety.
Fields of activity
GMI’s skills are applied to various sectors, with strong interaction with industrial and academic partners.
- Industry 4.0 and digital transformation
Optimization of production flows, digitalization of industrial processes. - Transport and logistics
Railway network planning, supply chain management, route optimization. - Health and life sciences
Modeling of biological processes, analysis of medical and epidemiological data. - Energy and environment
Optimization of energy networks, resource management, and reduction of environmental impacts. - Aeronautics and automotive
Robust design of complex objects, simulation, and virtual testing before manufacturing. - Risk management and system safety
Methods for the assessment and prevention of industrial and technological risks. - Big Data and applied artificial intelligence
Exploitation of big data for real-time decision-making.
Research Areas
The department’s work is structured around several major axes.
- Optimisation and decision support
- Development of algorithms to solve combinatorial and multi-objective problems.
- Applications: industrial flow management, transport, logistics.
- Uncertainty modeling and system reliability
- Study and consideration of uncertainties in decision-making processes.
- Applications: predictive maintenance, risk management, robust design.
- Artificial intelligence and data analysis
- Development of machine learning models for optimization and decision-making.
- Applications: industry 4.0, process monitoring, anomaly detection.
Research unit
The Mathematics and Operations Research for Engineering department actively contributes to the work of LIMOS (Laboratory of Informatics, Modeling and Optimization of Systems) by providing its expertise in optimization, mathematical modeling, and applied artificial intelligence. Its research aims to develop advanced methods for solving complex combinatorial and multi-objective optimization problems, particularly in the fields of logistics, transport, industry 4.0, and risk management. Through its interdisciplinary approach, GMI participates in the development of innovative algorithms, decision support tools, and predictive models to improve the robustness and performance of the systems studied within LIMOS. This collaboration strengthens synergies between applied mathematics, computer science, and systems engineering, and promotes the transfer of scientific advances to concrete applications related to industrial and societal challenges.
The Mathematics and Operations Research for Engineering department invites you to collaborate and innovate together in the fields of optimization and data science.
Contact and Practical Information
- Head of Department
Xavier Delorme - Email
delorme@mines-stetienne.fr - Phone
+33 4 77 42 01 85
- Address
École des mines de Saint-Étienne
Henri Fayol Institute
29, rue Ponchardier
42023 Saint-Étienne, France - Transport
Bus: Line 6, stop “Congress Center”
