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Article Dans Une Revue IEEE Transactions on Intelligent Transportation Systems Année : 2013

Hybridization of Nonlinear and Mixed-Integer Linear Programming for Aircraft Separation With Trajectory Recovery

Résumé

The approach presented in this article aims at finding a solution to the problem of conflict-free motion planning for multiple aircraft on the same flight level with trajectory recovery. One contribution of this work is to develop three consistent models, from a continuous-time representation to a discrete-time linear approximation. Each of these models guarantees separation at all times as well as trajectory recovery, but they are not equally difficult to solve. A new hybrid algorithm is thus developed in order to use the optimal solution of a mixed integer linear program as a starting point when solving a nonlinear formulation of the problem. The significance of this process is that it always finds a solution when the linear model is feasible while still taking into account the nonlinear nature of the problem. A test bed containing numerous data sets is then generated from three virtual scenarios. A comparative analysis with three different initialisations of the nonlinear optimisation validates the efficiency of the hybrid method.
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Dates et versions

hal-02099606 , version 1 (15-04-2019)

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Jérémy Omer, Jean-Loup Farges. Hybridization of Nonlinear and Mixed-Integer Linear Programming for Aircraft Separation With Trajectory Recovery. IEEE Transactions on Intelligent Transportation Systems, 2013, 14 (3), pp.1218-1230. ⟨10.1109/TITS.2013.2257758⟩. ⟨hal-02099606⟩

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