Advanced mathematical modeling and optimization
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Teaching
Details
Faculty Faculty of Science and Medicine Domain Computer Science Code UE-SIN.08611 Languages English Type of lesson Lecture
Level Master Semester SA-2022 Schedules and rooms
Summary schedule Tuesday 14:15 - 17:00, Hebdomadaire (Autumn semester)
Struct. of the schedule 3h par semaine durant 14 semaines Contact's hours 42 Teaching
Responsibles - Ries Bernard
Teachers - Pacheco Paneque Meritxell
Description This course considers modeling and optimization aspects of mixed-integer linear programming (or integer programming for short). This important subdomain of mathematical programming and extension of linear programming considers the problem of optimizing a linear function of many variables, some or all of them restricted to be integers, subject to linear constraints.
Integer programming is a thriving area of optimization. It has countless applications in production planning and scheduling, logistics, layout planning and revenue management, to name just a few. Thanks to effective and reliable software, it is widely applied in industry to improve decision-making.
In this course, we cover the theory and practice of integer programming. In the first part, we address mathematical modeling aspects. We discuss how integer variables can be used to model various practically relevant, complex decision problems. We then introduce some standard optimization problems and develop, analyze and compare different integer programming formulations for them. We also introduce powerful modeling and solving tools and test them on the optimization problems given in the course. In the second part, we address optimization aspects, in which we discuss the basic methodology applied to solve integer programs. In particular, we consider implicit enumeration techniques (branch and bound), polyhedral theory, cutting planes and primal heuristics. We also look at some advanced techniques, such as Danzig-Wolfe decomposition and column generation.
Training objectives With this course, the students gain the ability to formulate and solve practically relevant decision problems using integer programming, and they understand the basic methodology for solving integer programs and its implications with respect to modeling decisions.
Condition of access This course is designed for information systems, computer science and management student who have a good understanding of modeling and solving linear programs (as taught in the course Decision Support I).
Comments MSc-CS BENEFRI - (Code Ue: 53073 / Track: T5) The exact date and time of this course as well as the complete course list can be found at http://mcs.unibnf.ch/.
Course and exam registration on ACADEMIA (not myunifr.ch). Please follow the instructions on https://mcs.unibnf.ch/organization/
Softskills No Off field No BeNeFri Yes Mobility Yes UniPop No Documents
Bibliography Conforti, Michele, Gérard Cornuéjols, and Giacomo Zambelli. Integer programming, Graduate Texts in Mathematics. Springer (2014).
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Dates and rooms
Date Hour Type of lesson Place 20.09.2022 14:15 - 17:00 Cours PER 21, Room C130 27.09.2022 14:15 - 17:00 Cours PER 21, Room C130 04.10.2022 14:15 - 17:00 Cours PER 21, Room C130 11.10.2022 14:15 - 17:00 Cours PER 21, Room C130 18.10.2022 14:15 - 17:00 Cours PER 21, Room C130 25.10.2022 14:15 - 17:00 Cours PER 21, Room C130 08.11.2022 14:15 - 17:00 Cours PER 21, Room C130 22.11.2022 14:15 - 17:00 Cours PER 21, Room C130 29.11.2022 14:15 - 17:00 Cours PER 21, Room C130 06.12.2022 14:15 - 17:00 Cours PER 21, Room C130 13.12.2022 14:15 - 17:00 Cours PER 21, Room C130 20.12.2022 14:15 - 17:00 Cours PER 21, Room C130 -
Assessments methods
Written exam
Assessments methods By rating -
Assignment
Valid for the following curricula: Additional Courses in Sciences
Version: ens_compl_sciences
Paquet indépendant des branches > Specialized courses in Computer Science (Master level)
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