Base Knowledge
NA
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 andquestioning;
2) Intuitive Methodologies (show), making use of the following educational resources: Demo, Audiovisual, writtentexts;
3) Active Methodologies (to do), making use of pedagogical resources: problem solving; technology.
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 Operations Research.
3rd. Develop the capacity for abstraction, intuition, critical thinking and interdisciplinary/integrated reasoning ability.
Program
1. 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. 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:
3. Project Management
Introduction
Construction of the project network
Methods of project planning
4. Analysis and optimization of networks:
Net. Shortest-path algorithms
Maximum flow algorithm
Grading Methods
- - Periodic evaluation - 100.0%
- - Final evaluation - 100.0%
Internship(s)
NAO
Bibliography
Bronson, R.; Naadimuthu, G.; “Investigação Operacional”; 2a Ed.; McGraw-Hill, 2001
Costa, Ruy Araújo; “Elementos de Investigação Operacional”; Universidade Aberta, 2002
Costa, Ruy Araújo; “Investigação Operacional”; Universidade Aberta, 2002
Ferreira, Manuel Alberto; Amaral, Isabel; “Programação Matemática”; 2a Ed.; Edições Sílabo, 1995
Guerreiro, J.; Magalhães, A.; Ramalhete, M.; “Programação Linear”, Vol. 1; McGraw-Hill; 1985
Hill, Manuela Magalhães, Santos, Mariana Marques; “Investigação Operacional – Vol.1 – Programação Linear”; Edições Sílabo, 2009
Hill, Manuela Magalhães; Santos, Mariana Marques; “Investigação Operacional – Vol.2 – Exercícios de Programação Linear”; Edições Sílabo, 2009
Hillier, F. S.; Lieberman, J. J.; “Introduction to Operations Research”, 7a Ed.; McGraw-Hill; 2001
Taha, Hamdy A.; “Operations Research, An Introduction”; 5a Ed.; Prentice Hall International Editions; 1995
Tavares, L. Valadares et al.; “Investigação Operacional”, Mc Graw Hill; 1996