2023
Operational Research
Name: Operational Research
Code: MAT13638L
6 ECTS
Duration: 15 weeks/156 hours
Scientific Area:
Mathematics
Teaching languages: Portuguese
Languages of tutoring support: Portuguese, English
Regime de Frequência: Presencial
Sustainable Development Goals
Learning Goals
This course is intended; above all, provide students with concepts related to linear optimization applied to economics and management. In the first part of this course the Simplex algorithm is presented, which allows us to solve linear programming problems with n decision variables. We will use this algorithm in solving various problems of linear programming and make the economic interpretation of the results, including sensitivity analysis of the constant terms and coefficients of Objective Function We describe some special linear optimization models, including the transport models and models of assignment. The resolution by specific programs (free and open source) of all the problems described above is presented. In the second part of this course, an introduction to graph theory and Project Management (CPM) with randomness in the duration of activity (Pert) and reduction of the duration of the project at a minimal cost is presented.
Contents
1 - Introduction to Operations Research methodology
2 - Problem Formulation
3 - Linear Programming
4 Duality; Shadow Prices and Opportunity Costs
5 - Optimization in networks and graphs.
6 - Project Management.
2 - Problem Formulation
3 - Linear Programming
4 Duality; Shadow Prices and Opportunity Costs
5 - Optimization in networks and graphs.
6 - Project Management.
Teaching Methods
Lectures and practical classes taught predominantly in the table, supporting e-learning tools and use of overhead projector..
Exercises directed to the area of Economics and Management, focusing on solving current problems and real, with the aim to develop a taste and interest in the discipline and show its usefulness.
Focus on interpretation and analysis of data where possible using the "outputs" of the software used.
Students must complete the following work:
Revision as soon as possible to the previous in order to expose their doubts at the next or during the teachers office hours.
Students may choose between the regime of continuous assessment and evaluation system by examination of the regular season.
1. Continuous Assessment: two tests and two individual assignments all weighing 25% with a minimum grade of 8.
2. Scheme of examinations: Students will be assessed from the completion of an examination
Exercises directed to the area of Economics and Management, focusing on solving current problems and real, with the aim to develop a taste and interest in the discipline and show its usefulness.
Focus on interpretation and analysis of data where possible using the "outputs" of the software used.
Students must complete the following work:
Revision as soon as possible to the previous in order to expose their doubts at the next or during the teachers office hours.
Students may choose between the regime of continuous assessment and evaluation system by examination of the regular season.
1. Continuous Assessment: two tests and two individual assignments all weighing 25% with a minimum grade of 8.
2. Scheme of examinations: Students will be assessed from the completion of an examination
Teaching Staff
