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| MQGE0001-4 | Operations Research
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| Durée : | 30h Th |
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| Crédits/ECTS : |
| Bachelier ingénieur de gestion, 3e année | | Premier quadrimestre | | 3 |
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| Master en ingénieur de gestion, à finalité didactique, 1re année | | Premier quadrimestre | | 5 |
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| Master en ingénieur de gestion, à finalité spécialisée en financial engineering, 1re année | | Premier quadrimestre | | 5 |
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| Master en ingénieur de gestion, à finalité spécialisée, 1re année | | Premier quadrimestre | | 5 |
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| Master en ingénieur de gestion, à finalité spécialisée en intrapreneuriat, 1re année | | Premier quadrimestre | | 5 |
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| Master en ingénieur de gestion, à finalité spécialisée en Modélisation et technologie, 1re année | | Premier quadrimestre | | 5 |
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| Master en ingénieur de gestion, à finalité spécialisée en supply chain management, 1re année | | Premier quadrimestre | | 5 |
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| Master en ingénieur de gestion, à finalité spécialisée en performance management systems, 1re année | | Premier quadrimestre | | 5 |
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| Titulaire(s) : | Yves Crama |
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| Langue : | Langue anglaise |
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| Aperçu général : | Operations research relies on mathematical modeling to formulate and to analyze complex decision problems faced by individuals or organizations. OR models and techniques are found at the core of numerous IT tools used in everyday life and in innovative managerial decision support systems, e.g., GPS-based routing systems, airline reservation and pricing software, production planning and scheduling systems, financial investment optimization systems, etc. In order to make a sensible use of OR tools, the manager needs to understand their full potential as well as their limitations. By getting the most out of these tools, companies may be able to develop innovative solutions and to improve their competitive position.
The course offers an introduction to some of the most successful models and techniques used in operations research:
* linear programming: modeling, simplex method, sensitivity analysis, duality;
* queueing theory: basic features, arrival and service processes, M/M/c models (and for Master students only: birth-and-death processes);
* simulation : basic principles, random generators, analysis of results;
* for Master students only: an introduction to a modeling language for mathematical programming problems.
The course is illustrated by numerous examples and applications. |
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| Objectif du cours : | C1. Acquire some familiarity with the mathematical modeling approach to decision-making, and with fundamental models and methods used in operations research: linear programming, queueing models and simulation.
P2. Be able to reconstruct and to interpret the output of simple models.
P3. Be able to recognize situations where OR techniques can be successfully applied and to formulate simple models.
C4. Gain some understanding of the inherent limitations of the mathematical modelling approach. |
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| Pré-requis : | Mathematics (linear algebra, matrix algebra), probability theory and statistics (concept of random variable, classical distributions, expectation, variance, etc.). |
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| Organisation : | A1. Lectures.
A1. Readings (lecture notes and case studies).
A2. Numerical exercises.
A2. For Master students only: computer labs.
A3. For Master students only: computer-based project: formulation and solution of a small case. |
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| Notes de cours : | Lecture notes:
Y. Crama, Operations Research, ULg, 2007.
Additional material to be found on the virtual campus Lol@:
- articles: A Business Executive's Guide to Modern OR, OR The Productivity Engine, Queueing at Vancouver Airport, etc.
- PowerPoint slides
- exercises
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| Evaluation : | Based on:
- for all students: written examination in January 2011.
- and for Master students only: modeling project. |
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| Contacts : | Instructor: Y. CRAMA
HEC-Management School (Building N1)
Phone. : 04 366 30 77
Email : Y.Crama@ulg.ac.be
Teaching assistant: R. SADRABADI
HEC-Management School (Building N1)
Room 328 |
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| Remarques : | The course is taught in English.
See Lola virtual campus
http://lola.hec.ulg.ac.be/index.php
for additional information. |
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