Rehabilitation sciences and techniquesModule Operations Research
Academic Year 2023/2024 - Teacher: GABRIELLA COLAJANNIExpected Learning Outcomes
The goals of the course are:
Knowledge and understanding: to acquire base knowledge that allows students to study optimization problems and apply opportune techniques to solve the decision-making problems. The students will be able to use algorithms for linear programming problems.- Applying knowledge and understanding: to identify and model real-life decision-making problems. In addition, through real examples, the student will be able to find correct solutions for complex problems.
- Making judgments: to choose and solve autonomously complex decision-making problems and to interpret the solutions.
- Communication skills: to acquire base communication and reading skills using technical language.
- Learning skills: to provides students with theoretical and practical methodologies and skills to deal with optimization problems in healthcare; to acquire further knowledge on mathematics applied to healthcare.
Course Structure
There will be classroom lessons and exercises.
Should teaching be carried out in mixed mode or remotely, it may be necessary to introduce changes with respect to previous statements, in line with the programme planned and outlined in the syllabus.
Learning assessment may also be carried out on line, should the conditions require it.
Required Prerequisites
Attendance of Lessons
Detailed Course Content
- LINEAR PROGRAMMING
- Linear programming models. Graphical method. Primal simplex method.
- INTEGER PROGRAMMING
- Interger programming models. Branch and Bound method in integer programming, Knapsack problem.
- EXCEL FOR LINEAR PROGRAMMING PROBLEMS
- APPLICATIONS TO HEALTHCARE
Textbook Information
- R. Tadei, F. Della Croce, “Elementi di Ricerca Operativa”, Società Editrice Esculapio, 2005;
- R. Tadei, F. Della Croce, A. Grosso, “Fondamenti di Ottimizzazione”, Società Editrice Esculapio, 2005;
- F. Hillier, G.J. Liebermann, “Ricerca Operativa”, McGraw-Hill, 2006
- F. Fumero, Metodi di ottimizzazione. Esercizi ed applicazioni, Società Editrice Esculapio, 2013
- F.S. Hillier, G.J. Lieberman, Introduction to Operations Research, Mc Graw Hill.
Course Planning
| Subjects | Text References | |
|---|---|---|
| 1 | Linear Programming | 1,3,4,5 |
| 2 | graphic method | 1,3,4,5 |
| 3 | Simplex Algorithm | 1,3,4,5 |
| 4 | Integer Linear Programming | 2,3,4,5 |
| 5 | Branch and Bound method | 2,3,4,5 |
| 6 | Knapsack Problem | 2,3,4,5 |
Learning Assessment
Learning Assessment Procedures
Elements to be evaluated: relevance of the answers, quality of their contents, ability to connect with other topics within the program, ability to report examples, quality of technical language, and overall expressive ability.
To guarantee equal opportunities and in compliance with current laws, students can request a meeting in order to plan any compensatory and/or dispensatory measure, according to the educational goals and specific needs. In this case, it is advisable to contact the CInAP (Centre for Active and Participated Integration - Services for Disabilities and/or SLD) professor of the Department where the Degree Course is included.