Group for Research in Decision Analysis

What is being done at GERAD?

Decision mathematics (DM)

GERAD researchers (professors, professional researchers, postdoctoral trainees, students) are interested in all types of decision math. They develop mathematical models and methods to study/analyze/solve practical problems in various application areas, and to help organizations (private companies or government agencies) make better decisions. Decision mathematics falls under data science and are the foundation of the emerging discipline of analytics (the creation of useful knowledge from big data and from existing expert knowledge). Decision mathematics encompass all or parts of operations research, mathematical optimization, decision support, games theory, simulation and statistics. In practice, decision mathematics are often combined with other disciplines such as computing, artificial intelligence, geomatics, and new information and communication technologies (NICT).

Applications

Many areas of application are being pursued at GERAD: transportation, logistics, energy, the environment, natural resources, telecommunications, engineering, finance, marketing, health and more. Here you’ll find our major research axes and themes. Below we describe examples of applications being handled at GERAD.

Research projects

The research projects conducted at GERAD are often derived from real-life applications that conventional methods do not handle well. In such cases, researchers develop models and solution methods (algorithms) to handle these applications. To do so, they must very often produce theoretical results to analyze how the proposed methods behave and to verify their accuracy. Other projects can emerge directly from known mathematical models: researchers may explore these models’ properties or design more efficient methods for solving them. Most projects require some computing, for instance to prepare data, implement a new solution algorithm or interface with graphics software. Some projects can lead to the creation or improvement of freeware. In sum, some of the research projects at GERAD are more applied and others are more theoretical. Some also require excellent knowledge of a computer programming language, while others do not.

Application examples