Decision Support Methods – Instituto Politécnico de Coimbra

Base Knowledge

Some knowledge of Mathematical Programming.

Teaching Methodologies

Teaching method is initially expository on the theoretical parts, and then proceeds with problem solving by students.

Learning Results

To present the potential of decision support methods for linear, nonlinear and stochastic cases in the context of monitoring, operational research and management, with particular emphasis on formulation and troubleshooting decisions within Engineering and Industrial Management, and also to introduce and work with the existent useful tools to obtain good solutions.

Program

I-Deterministic models 1. Formulation and model development. Models based on linear programming. Sensitivity analysis. Analysis of large variations. Integer programming based models. 2. Optimization in networks: some models and algorithms. 3. Non-linear models. Formulation of problems. Optimization without restrictions on one or more variables. KKT conditions to nonlinear optimization with constraints. Programming: separable convex quadratic, non-convex.

II-Nondeterministic models 1. Decision theory. Probabilistic and non-probabilistic methods. Decision criteria in uncertainty. Value of information. Utility, indifference and risk. Risk premium. Decision criteria with risk. 2. Queuing models.

III-Decision trees Decision nodes, states and alternatives. Selection, qualification and assessment of alternatives. Bayes analysis in estimating probabilities. Information value. Sensitivity analysis. Contingency plans. Utility theory.

Curricular Unit Teachers

Maria do Céu Lourenço Marques

Grading Methods

Avaliação distribuída

- Teste (teórico-prático escrito) - 70.0%
- Trabalho (com relatório escrito e apresentação oral) - 30.0%

Avaliação por exame

- Exame (escrito) - 100.0%

Internship(s)

NAO

Bibliography

Main Bibliography:

Hillier, F.S. & Lieberman, G. J. (2021). Introduction to Operations Research (11ª ed.). New York: McGraw Hill.

Marques, M. (2021). Apontamentos e exercícios de apoio às aulas. ISEC (available on academic platform InforEstudante)

Complementary Bibliography:

Antunes, C. H. & Tavares, L.T. (Coord.) (2000). Casos de Aplicação da Investigação Operacional. Portugal: McGraw-Hill.

Tavares, L.V., Oliveira, R. C., Themido, I. H. & Correia, F.N. (1996). Investigação Operacional. Portugal: McGraw Hill.