CODE 66204 2022/2023 5 cfu anno 1 10378 (LM-27) - GENOVA MAT/09 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).
They will be able to solve decision problems by applying the learnt models and using appropriate solution algorithms```

### 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

## 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.

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.

### 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 sove 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
19/12/2022 08:30 GENOVA Orale
13/01/2023 09:00 GENOVA Scritto
06/06/2023 08:30 GENOVA Orale
22/06/2023 08:30 GENOVA Orale
01/09/2023 08:30 GENOVA Orale
14/09/2023 14:15 GENOVA Orale