A global optimization approach to solve multi-aircraft routing problems

Wilson, S., Bartholomew-Biggs, M. and Parkhurst, S. (2009) A global optimization approach to solve multi-aircraft routing problems. In: Computational Models, Software Engineering and Advanced Technologies in Air Transportation :. Engineering Science Reference (ESR), imprint of IGI Global, pp. 237-259. ISBN 978-1605668000
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This paper describes the formulation and solution of a multi-aircraft routing problem which is posed as a global optimization calculation. The paper extends previous work (involving a single aircraft using two dimensions) which established that the algorithm DIRECT is a suitable solution technique. The present work considers a number of ways of dealing with multiple routes using different problem decompositions. A further enhancement is the introduction of altitude to the problems so that full three-dimensional routes can be produced. Illustrative numerical results are presented involving up to three aircraft and including examples which feature routes over real-life terrain data.


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