Modeling and Optimization of Air Traffic

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This book combines the research activities of the authors, both of whom are researchers at Ecole Nationale de l'Aviation Civile (French National School of Civil Aviation), and presents their findings from the last 15 years. Their work uses air transport as its focal point, within the realm of mathematical optimization, looking at the real-life problems and theoretical models in tandem, and the challenges that accompany studying both approaches. The authors' research is linked with the attempt to reduce air space congestion in Western Europe, USA and, increasingly, Asia. They do this through studying stochastic optimization (particularly artificial evolution), the sectorization of airspace, route distribution and take-off slots, and by modeling airspace congestion. Finally, the authors discuss their short, medium and long term research goals. They hope that their work, although related to air transport, will be applied to other fields, such is the transferable nature of mathematical optimization. At the same time, they intend to use other areas of research, such as approximation and statistics, to complement their continued inquiry in their own field.