Decision Support Methods

Base Knowledge

Regarding this course, knowledge of Statistics and Matrix Calculus are necessary.

Teaching Methodologies

The teaching methodologies used in this course are:

1) Verbal Methodologies (say), making use of pedagogical resources: Exposition, Explanation, Dialogue and Interrogation;

2) Intuitive Methodologies (show), making use of pedagogical resources: Demonstration, Audiovisuals and Written Texts;

3) Computational Methodologies (to do), making use of computational resources.

Learning Results

The goals of this course are:

1. Demonstrate skills for the joint application of different techniques;

2. Experiment, question and test different techniques that support decision-making;

3. Apply knowledge to specialized studies/works in the field of Operations Research;

4. Develop the capacity for abstraction, intuition, critical thinking and the capacity for interdisciplinary and integrated ability.

Program

0. Introduction: Decision making and Operational Research; Formulation of problems and construct mathematical models.

1. Linear Programming: Description of Linear Programming problems; Formulation of Linear Programming problems; Resolution Linear Programming problems by graphical method; Resolution of Linear Programming problems – Simplex method.

2. Project Management: Introduction; Construction of the project network; Methods of project planning.

3. Introduction to the Theory of Queues: Introduction; Structure and concepts of queuing systems; Modeling of queues; Characterization of distributions of arrival and service: negative exponential distribution and Poisson distribution; Birth and Death Processes; Fundamental Relations; Classification of queues; Models based on the process of birth and death.

4. Analysis and optimization in networks. Network, node and branch definition. Orientation and connectedness. Routes: minimum length and minimum route. Maximum flow problems.

Curricular Unit Teachers

Grading Methods

Avaliação Periódica
  • - Trabalho prático em grupo (nota mínima 7 em 20) - 30.0%
  • - Prova escrita individual (nota mínima 7 em 20) - 70.0%
Avaliação Final
  • - Prova escrita individual - 100.0%

Internship(s)

NAO

Bibliography

Carter, M. W., Price C. C., & Rabadi, G. (2019) Operations research, a practical introduction. CRC Press.

Jesus, F., & Lisboa, J. V. (2020) Introdução à investigação operacional, Vida Económica.

Mourão, M. C., Pato, M. V., Pinto, L.S., Simões, & O.A., Valente, J. (2019) Investigação operacional, exercícios e aplicações. Escolar Editora.

Santos, M. M., & Hill, M. M. (2015) Investigação operacional, vol. 1. – programação linear. Edições Sílabo.

Santos, M. M., & Hill, M. M. (2018) Investigação operacional, vol. 2. – exercícios de programação linear. Edições Sílabo.