Abstract
In this paper, we consider the problem of autonomous task allocation and trajectory planning for a set of UAVs. This is a bi-level problem: the upper-level is a task assignment problem, subjected to UAV capability constraints; the lower-level constructs the detailed trajectory of UAVs, subjected to dynamics, avoidance and dependency constraints. Although the entire problem can be formulated as a mixed-integer linear program (MILP), and thus it can be solved by available software, the computational time increases intensively. For solving more efficiently this problem we propose an efficient approach based on the column generation method in which the modified dependency constraint will be added into the sub-problem. The performance of our approach is evaluated by comparing with solution given by the CPLEX on different scenarios.
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Notes
- 1.
The generalization to a polygonal obstacle is easy.
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The authors would like to thank the DGA (Direction Générale de l’Armement) for the support to this research.
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Nguyen, D.M., Dambreville, F., Toumi, A., Cexus, JC., Khenchaf, A. (2020). Solving the Problem of Coordination and Control of Multiple UAVs by Using the Column Generation Method. In: Le Thi, H., Le, H., Pham Dinh, T. (eds) Optimization of Complex Systems: Theory, Models, Algorithms and Applications. WCGO 2019. Advances in Intelligent Systems and Computing, vol 991. Springer, Cham. https://doi.org/10.1007/978-3-030-21803-4_108
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