110 http://isa.epfl.ch/imoniteur_ISAP/ itffichecours.txt?path=EPFL.Etu.FicheCours.HeaderFR itffichecours.txt?path=EPFL.Etu.FicheCours.GlobalNav_js fr 2026 942623 6683117 942623 2840683608 2840683608 0 0 Genie civil GC ENAC Faculté de l'environnement naturel, architectural et construit School of Architecture, Civil and Environmental Engineering !itffichecours.htm?ww_i_matiere=2563565378&ww_x_anneeAcad=2840683608&ww_i_section=942623&ww_i_niveau=6683117 1696552884 1696552963 2025-2026 COURSE BOOKLET MATH-265 Introduction to optimization and operations research Introduction to optimization and operations research Lecturers Bierlaire Michel Language of teaching English Cursus Chemistry(2025-2026, CGC BA orientation chimie 2025-26)
Civil Engineering(2025-2026, GC - Bachelor 2024)
Environmental Sciences and Engineering(2025-2026, SIE - Bachelor 2023)
Mechanical Engineering(2025-2026, GM - Bachelor 2023)
Passerelle HES - GC(2025-2026, GC - HES 2025)
Passerelle HES - GM(2025-2026, GM - HES 2025)
Systems Engineering minor(2025-2026, Mineur : Systems Engineering 2025-26)
SemesterMand.OptionFilières
BA3x
BA5x
BA5x
Hx
Hx
 Credits 4 Session Winter Workload 120h Exam Written Number of positions Semester Fall Weeks 14 Hours 4 weekly
Courses 2 weekly
Exercises 2 weekly
Study planSemesterMand.OptionFilières
CGC Orientation 2025-26BA5x
Génie civil 2025-26BA3x
Génie mécanique 2025-26BA5x
Mineur : Systems engineering 2025-26Hx
Passerelle master HES GC 2025-26Hx
Passerelle master HES GM 2025-26Hx
Sciences et ingénierie de l'environnement 2025-26BA5x
Cursus Sem. Type
Chemistry BA5 Opt.
Civil Engineering BA3 Obl.
Environmental Sciences and Engineering BA5 Opt.
HES - GC H Obl.
HES - GM H Obl.
Mechanical engineering BA5 Obl.
Systems Engineering minor H Opt.
Summary Introduction to major operations research models and optimization algorithms Content

introduction to the course

Linear optimization - introduction

The simplex algorithm

Duality

Networks

Transhipment

Shortest path

Integer optimization - Branch and bound.

Unconstrained non linear optimization.

 

 Learning Prerequisites Required courses

Linear algebra

Analysis

Preliminary knowledge of Python is useful, but not required.

 Teaching methods

The course combines ex-cathedra lectures (2 hours) with hands-on computer labs (2 hours).

The computer labs are based on Jupyter notebooks using Python, allowing students to experiment with the algorithms covered in class. The core structure of the Python code is provided, and students are tasked with completing specific parts to reinforce their understanding.

To support self-paced learning and avoid bottlenecks due to programming difficulties, fully worked solutions are also made available.

 

 Assessment methods

The evaluation consists of two parts:

  • A closed-book exam with multiple-choice questions assessing the theoretical concepts.

  • An open-book, computer-based exam conducted in Jupyter notebooks, focused on practical exercises.

 

 

 Resources Virtual desktop infrastructure (VDI) No Bibliography

Bierlaire (2015) Optimization: principles and algorithms, EPFL Press

http://optimizationprinciplesalgorithms.com

 Ressources en bibliothèque
  • Find the references at the Libraryhttps://slsp-epfl.primo.exlibrisgroup.com/discovery/search?query=course_code,contains,%22MATH-265%202025-2026%22,AND&tab=41SLSP_EPF_MyInst_and_CI&search_scope=MyInst_and_CI&vid=41SLSP_EPF:prod&lang=fr&mode=advanced&offset=0
 Moodle Link Prerequisite for


Génie civil, 2025-2026, Bachelor semestre 3 Civil Engineering, 2025-2026, Bachelor semester 3 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2025-2026 Bachelor semestre 3 BA3 HIVER Bachelor semester 3 BA3 Génie civil GC Civil Engineering GC
Génie civil GC Civil Engineering GC
obligatoire mandatory
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Bierlaire Michel 118332
Génie civil GC Civil Engineering GC
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Bierlaire Michel 118332
Génie civil GC Civil Engineering GC
2563565378 Introduction to optimization and operations research Introduction to optimization and operations research 4
Ecrit Written Crédit Credits 4 Session hiver Session winter HIV HIV
Génie mécanique, 2025-2026, Bachelor semestre 5 Mechanical Engineering, 2025-2026, Bachelor semester 5 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2025-2026 Bachelor semestre 5 BA5 HIVER Bachelor semester 5 BA5 Génie mécanique GM Mechanical Engineering GM
Génie mécanique GM Mechanical Engineering GM
obligatoire mandatory
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Bierlaire Michel 118332
Génie civil GC Civil Engineering GC
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Bierlaire Michel 118332
Génie civil GC Civil Engineering GC
2563565378 Introduction to optimization and operations research Introduction to optimization and operations research 4
Ecrit Written Crédit Credits 4 Session hiver Session winter HIV HIV
Passerelle HES - GC, 2025-2026, Semestre automne Passerelle HES - GC, 2025-2026, Autumn semester Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2025-2026 Semestre automne H HIVER Autumn semester H Passerelle HES - GC GC_HES Passerelle HES - GC GC_HES
Génie civil GC Civil Engineering GC
obligatoire mandatory
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Bierlaire Michel 118332
Génie civil GC Civil Engineering GC
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Bierlaire Michel 118332
Génie civil GC Civil Engineering GC
2563565378 Introduction to optimization and operations research Introduction to optimization and operations research 4
Ecrit Written Crédit Credits 4 Session hiver Session winter HIV HIV
Passerelle HES - GM, 2025-2026, Semestre automne Passerelle HES - GM, 2025-2026, Autumn semester Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2025-2026 Semestre automne H HIVER Autumn semester H Passerelle HES - GM GM_HES Passerelle HES - GM GM_HES
Génie mécanique GM Mechanical Engineering GM
obligatoire mandatory
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Bierlaire Michel 118332
Génie civil GC Civil Engineering GC
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Bierlaire Michel 118332
Génie civil GC Civil Engineering GC
2563565378 Introduction to optimization and operations research Introduction to optimization and operations research 4
Ecrit Written Crédit Credits 4 Session hiver Session winter HIV HIV
Sciences et ingénierie de l'environnement, 2025-2026, Bachelor semestre 5 Environmental Sciences and Engineering, 2025-2026, Bachelor semester 5 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2025-2026 Bachelor semestre 5 BA5 HIVER Bachelor semester 5 BA5 Sciences et ingénierie de l'environnement SIE Environmental Sciences and Engineering SIE
Sciences et ingénierie de l'environnement SIE Environmental Sciences and Engineering SIE
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Bierlaire Michel 118332
Génie civil GC Civil Engineering GC
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Bierlaire Michel 118332
Génie civil GC Civil Engineering GC
2563565378 Introduction to optimization and operations research Introduction to optimization and operations research 4
Ecrit Written Crédit Credits 4 Session hiver Session winter HIV HIV
Chimie, 2025-2026, Bachelor semestre 5 Chemistry, 2025-2026, Bachelor semester 5 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2025-2026 Bachelor semestre 5 BA5 HIVER Bachelor semester 5 BA5 Chimie CGC_OR_CHIM Chemistry CGC_OR_CHIM
Chimie et génie chimique CGC Chemistry and Chemical Engineering CGC
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Bierlaire Michel 118332
Génie civil GC Civil Engineering GC
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Bierlaire Michel 118332
Génie civil GC Civil Engineering GC
2563565378 Introduction to optimization and operations research Introduction to optimization and operations research 4
Ecrit Written Crédit Credits 4 Session hiver Session winter HIV HIV
Mineur en Systems Engineering, 2025-2026, Semestre automne Systems Engineering minor, 2025-2026, Autumn semester Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2025-2026 Semestre automne H HIVER Autumn semester H Mineur en Systems Engineering MIN_SYS_ENG Systems Engineering minor MIN_SYS_ENG
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Bierlaire Michel 118332
Génie civil GC Civil Engineering GC
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Bierlaire Michel 118332
Génie civil GC Civil Engineering GC
2563565378 Introduction to optimization and operations research Introduction to optimization and operations research 4
Ecrit Written Crédit Credits 4 Session hiver Session winter HIV HIV
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