CODE 66204 2023/2024 5 cfu anno 1 INTERNET AND MULTIMEDIA ENGINEERING 10378 (LM-27) - GENOVA MAT/09 English GENOVA 2° Semester Questo insegnamento è un modulo di: AULAWEB

## OVERVIEW

Operations Research (OR) consists in a set of mathematical models and methods for solving decision problems in a very wide number of application sectors. The purpose of this course is to provide the students with competences in using a set of models for problem solving. In particular, the course mainly considers optimization problems faced by mathematical programming techniques and problems on graph and networks.

## AIMS AND CONTENT

### LEARNING OUTCOMES

The students will learn a set of models and methods of Operations Research (linear mathematical programming models; integer programming methods; graphs and network flow models).

### AIMS AND LEARNING OUTCOMES

The main objective is to provide students with the skills to define mathematical programming models to solve a series of decision problems by formulating them as optimization problems. Students will be able to solve continuous and mixed integer programming problems using appropriate methods and algorithms. Students will be able to solve problems using networks flow models and graphs.The presented models and algorithms are fundamental tools for optimization in telecommunication.

### TEACHING METHODS

The course consists of classroom lectures.

### SYLLABUS/CONTENT

• Introduction to decisional problems and models. The process of problem formulation by means of quantitative models.
• Mathematical programming
• Basic definitions
• Linear programming.
• Graphic formulation and solution of linear programs.
• The simplex algorithm.
• Duality theory.
• Sensitivity analysis and economic interpretation.
• Integer programming and combinatorial optimization.
• Methods of cutting-planes and branch-and-bound.
• Graph and network theory.
• Shortest paths problems.
• Spanning tree problems..
• Max-flow and min cut problems. Network simplex algorithm.
• Introduction to TSP and routing problems.
• Basic concepts of the theory of complexity.
• Examples of heuristic algorithms for combinatorial problems
• Basic concepts of multi-criteria decision making

Frederick S Hillier, Gerald J Lieberman, Introduction to Operations Research, 9/e, McGraw-Hill Higher Education, 2010, ISBN: 0073376299

Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities.

## TEACHERS AND EXAM BOARD

### Exam Board

MAURO GAGGERO (President)

MARCELLO SANGUINETI

MASSIMO PAOLUCCI (President Substitute)

## LESSONS

### LESSONS START

https://corsi.unige.it/10378/p/studenti-orario

### Class schedule

L'orario di tutti gli insegnamenti è consultabile all'indirizzo EasyAcademy.

## EXAMS

### EXAM DESCRIPTION

Written exam text and oral exam (optional after passing the written text). The students who want to take the exam must register online and send an email to the professor.

### ASSESSMENT METHODS

The students will be asked to solve linear and integer programming problems using the learnt algorithms and applying concepts from theory. They have to be able to solve problems on graphs and networks. They have to demostrate to know the basic concepts of multi-criteria decision making.

### Exam schedule

Data Ora Luogo Degree type Note
12/01/2024 09:00 GENOVA Scritto
07/02/2024 08:30 GENOVA Scritto
04/06/2024 08:30 GENOVA Scritto
20/06/2024 08:30 GENOVA Scritto
12/09/2024 14:30 GENOVA Scritto
13/09/2024 08:00 GENOVA Esame su appuntamento

### FURTHER INFORMATION

Students with disabilities or learning disorders can use specific modalities and supports that will be determined on a case-by-case basis in agreement with the Delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities. Students are invited to contact the teacher of this course and copy the Delegate (https://unige.it/commissioni/comitatoperlinclusionedeglistudenticondisa…).