Teaching Methodologies
The following teaching methodologies are used in this curricular unit:
1. Verbal methods (say), making use of the following educational resources: Exposition, Explanation, Dialogue, and Questioning;
2. Intuitive methodologies (show), making use of the following educational resources: Demo, Audiovisual, and written tests.
Learning Results
The goals of this course are:
1st. Acquire skills to apply various techniques in order to get results that enable the support of decision making;
2nd. Give appropriate training for future studies / specialized work in the field of Operational Research;
3rd. Develop the capacity for abstraction, intuition, critical thinking, and interdisciplinary/integrated reasoning ability.
Program
0. Introduction
Decision making and Operational Research
Formulation of problems and construction of mathematical models
1. Linear Programming
Description of Linear Programming problems
Formulation of Linear Programming problems
Resolution of Linear Programming problems by graphical method
Resolution of Linear Programming problems – Simplex method
2. Introduction to the Queueing Theory
Introduction
Structure and concepts of queueing systems
Modeling of queues
Characterization of distributions of arrival and service: negative exponential distrbution and Poisson distribution
Birth and Death Processes
Fundamental Relations
Classification of queues
Models based on the process of birth and death
3. Project Management
Introduction
Construction of the project network
Methods of project planning
4. Analysis of networks optimization
Net
Shortest-path algoritms
Maximum flow algorithms
Grading Methods
- - Prova escrita individual - 100.0%
- - Trabalho prático em grupo (nota mínima 7 em 20) - 30.0%
- - Prova escrita individual (nota mínima 7 em 20) - 70.0%
Internship(s)
NAO
Bibliography
Guerreiro, J.; Magalhães, A.; Ramalhete, M.; “Programação Linear”, Vol. 1; McGraw-Hill, 1985
Ferreira, Manuel Alberto M.; Amaral, Isabel; “Programação Matemática”; 2ª Ed.; Edições Sílabo, 1995
Hillier, F. S.; Lieberman, J. J.; “Introduction to Operations Research”; 7th Ed.; McGraw-Hill, 2001
Costa, Ruy Araújo; “Elementos de Investigação Operacional”; Universidade Aberta, 2002
Costa, Ruy Araújo; “Investigação Operacional”; Universidade Aberta, 2002
Hill, Manuela Magalhães; Santos, Mariana Marques; “Investigação Operacional – Vol. 2 – Exercícios de Programação Linear”; Edições Sílabo, 2009
Taha, Hamdy A.; “Operations Research, An Introduction”; 5th Ed.; Prentice Hall International Editions, 1995
Hill, Manuela Magalhães; Santos, Mariana Marques; “Investigação Operacional – Vol. 1 – Programação Linear”; Edições Sílabo, 2009
Bronson, R.; Naadimuthu, G.; “Investigação Operacional”; 2ª Ed.; McGraw-Hill, 2001
Tavares, L. Valadares et al.; “Investigação Operacional”; McGraw Hill, 1996