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Operational Research

Code: EIC0037     Acronym: IOPE

Classification Keyword
OFICIAL Quantitative Methods and Management

Instance: 2014/2015 - 2S

Active? Yes
Responsible unit: Department of Industrial Engineering and Management
Course/CS Responsible: Master in Informatics and Computing Engineering

Cycles of Study/Courses

Acronym No. of Students Study Plan Curricular Years Credits UCN Credits ECTS Contact hours Total Time
MIEIC 171 Syllabus since 2009/2010 4 - 5 56 135

Teaching Staff - Responsibilities

Teacher Responsibility
Maria Teresa Galvão Dias

Teaching - Hours

Lectures: 2,00
Recitations: 2,00
Type Teacher Classes Hour
Lectures Totals 1 2,00
Maria Teresa Galvão Dias 2,00
Recitations Totals 7 14,00
João Manuel Curralo Mourinho 4,00
Maria Teresa Galvão Dias 4,00
Pedro Sanches Amorim 2,00
Maria Teresa Peixoto Braga Bianchi de Aguiar 4,00

Teaching language

Suitable for English-speaking students


The aim of this course to provide the students with competences to: - identify decision problems; - apply the different phases of the methodology for a decision problem resolution, in particular defining and structuring problems, building models, applying quantitative methods for obtaining a solution - analyse critically the obtained solution - understand the relevance of the role of an "agent of change" in the organizations

Learning outcomes and competences

At the end of this course in Operations Research the students should be able to:

- identify a decision problem, 

- justify the need for the application of an optimization technique

- build an appropriate mathematical model,

- select and apply a suitable method or algorithm, 

- be able to analyze critically the obtained results

- apply sensitivity analysis and 

- be able to justify the applied technique and quantify the gains for the organization

Working method



1- Linear Programming - problem formulation - graphical resolution and sensitivity analysis - Simplex Method - Duality

2- Special cases of linear programming - Transportation Problems - Assignment problems

3 - Integer Programming - Formulations - Solving techniques

4 - Special cases in Integer Programming -Network and flow problems

5- Decision Theory

6 - Queuing Systems

Mandatory literature

Frederick S. Hillier, Gerald J. Lieberman; Introduction to operations research. ISBN: 0-07-118163-6

Complementary Bibliography

Luís Valadares Tavares, ... [et al.]; Investigação operacional. ISBN: 972-8298-08-0
coord. Carlos Henggeler Antunes, Luís Valadares Tavares; Casos de aplicação da investigação operacional. ISBN: 972-773-075-2

Teaching methods and learning activities

This course is based on the following procedures:

A1. Theorectical concepts The theorectical concpts are exposed in the classes and the students should learn through study and conceptualizing activities.

A2. Exercises and Case studies Applied exercises and corresponding resolutions are provided to the students in lab classes.

Class attendance and resolution of proposed exercises correspond to a weight of 10% of the final grade. There two examination tests, each with a weight of a 45% in the final grade.




Physical sciences > Mathematics > Applied mathematics > Operations research

Evaluation Type

Distributed evaluation without final exam

Assessment Components

Designation Weight (%)
Participação presencial 10,00
Teste 90,00
Total: 100,00

Amount of time allocated to each course unit

Designation Time (hours)
Estudo autónomo 87,00
Frequência das aulas 48,00
Total: 135,00

Eligibility for exams

It is needed to obtain a minimum of 6 in 20 in each evaluation test. The student is approved if the final grade is higher than 10 in 20.

Calculation formula of final grade

The final classification is calculated based on the grades obtained in two writen tests and in the evaluation of class attendance and participation

Each test has a weight of 45% and the class attendance and participation has a weight of 10%.

 An additional test is available to improve the final grade: The approved students may improve the final grade by repeating one or both evaluation tests

Examinations or Special Assignments

Not applicable

Special assessment (TE, DA, ...)

Special evaluation will be performed through an individual test with a duration of 3 hours that will cover all the syllabus of the course.

Classification improvement

An additional test is available to improve the final grade: The approved students may improve the final grade by repeating one or both evaluation tests

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