MATHEMATICS FOR PROJECT MANAGEMENT AND EVALUATION

The course aims to provide some tools that will allow you to become familiar with quantitative methods and their use in decision-making issues, including those related to cultural organisations. The course adopts an approach oriented not only to the description of theoretical aspects but also to the applications and use of software packages to solve some optimization problems.

The course allows students to acquire knowledge of quantitative methodologies and to apply these concepts to formulate and solve some multicriteria problems as project evaluation problems.
Knowledge and understanding: understanding the meaning of the concept of Decision Making; understanding and knowledge of methodologies capable of dealing with Decision Making problems; knowledge and understanding of linear Programming.
Application of knowledge and understanding: be able to solve decision-making problems that may also affect cultural organisations; be able to formulate and solve linear programming problems.

During the course it is assumed that students already know some mathematical subjects covered in secondary school courses, in particular the knowledge of linear functions and their graphic representation.

1. Linear algebra: vectors, matrices and their operation. Linear system. Inequalities in the space. Eigenvalues and eigenvectors

2. 1.Introduction to the Decision Making. Decision under uncertainty, risk, certainty.

3. Some method for Decision under uncertainty and risk (ex.: decision trees)
4. Project evaluation. Elements of cost-benefit analysis.
5. Decision Making under certainty. Multicriteria and Multi objective Decision. Multicriteria analysis; MAVT and outranking methods. Some multicriteria methods. AHP methodology.
6. Multi objective: elements of linear programming.

The following arguments will be optional:
7.Elements of performance assessment, as the DEA methodology.
8. Elements of graph theory.

Cournejols G., Trick M., Quantitative Methods for the Management Sci-
ences, Course Notes, Carnagie Mellon, Pittsburgh, 1999 (cap. 5, 12).

Forman E.H., Selly M.A., Decision by objectives (How to convince others that you are right)", World Scientific, 2001 (cap. 1, 2, 4).

Decision Making, Giacomo Bonanno, http://faculty.econ.ucdavis.edu/faculty/bonanno/DM_Book.html (open access book)

Slides from the Teacher

Other material will be suggested during the lessons.

The preparation is checked by means of a written test. Oral test will be optional. Possibly during the course there will be a mid-term test.

The course is divided into 30 hours of frontal lessons in which theoretical concepts regarding the methodologies covered by the course are presented, as well as concrete applications to decision-making problems.

Inglese

Detailed information on the program and study materials will be communicated at the beginning of the course on e-learning page (www.moodle.unive.it).

scritto

Questo insegnamento tratta argomenti connessi alla macroarea "Capitale umano, salute, educazione" e concorre alla realizzazione dei relativi obiettivi ONU dell'Agenda 2030 per lo Sviluppo Sostenibile