%0 Conference Paper %F Oral %T A Column Generation Approach for Coordination and Control of Multiple UAVs %+ Hanoi National University of Education - Department of Mathematics and Informatics %+ Lab-STICC_ENSTAB_MOM_PIM %+ Lab-STICC_ENSTAB_CID_TOMS %A Nguyen, D. M. %A Dambreville, Frédéric %A Toumi, Abdelmalek %A Cexus, Jean-Christophe %A Khenchaf, Ali %< avec comité de lecture %B 6th International Conference on Modeling, Simulation and Optimization of Complex Processes - HPSCH 2015 %C Hanoi, Vietnam %8 2015-03-16 %D 2015 %K Trajectory design %K Mixed integer linear programming %K Unmanned aerial vehicle %K Task allocation %K Column generation %Z Mathematics [math]/Optimization and Control [math.OC]Conference papers %X In this work, 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 a new approach based on the column generation method. Then, the two branching techniques will be investigated in order to obtain a branch-and-price scheme for this problem. The efficiency of our approach is evaluated by comparing with solution given by CPLEX on different scenarios. %G English %L hal-01131976 %U https://hal-ensta-bretagne.archives-ouvertes.fr/hal-01131976 %~ UNIV-BREST %~ INSTITUT-TELECOM %~ ENSTA-BRETAGNE %~ CNRS %~ UNIV-UBS %~ ENSTA-BRETAGNE-STIC %~ INSMI %~ ENIB %~ LAB-STICC_ENIB %~ LAB-STICC %~ TDS-MACS %~ INSTITUTS-TELECOM