Name
Abstract | ||
|---|---|---|
This paper provides a complexity study of the deterministic localization problem in robot networks using local and relative observations only. This is an important issue in collective and cooperative robotics where global positioning systems (GPS) are not available, and the basic premise is the localization ability of the group. We prove that given a set of relative observations made by the robots, the unique unambiguous pose estimation of the robot network in a deterministic way is an NP-hard problem. This means that no polynomial-time algorithm can deterministically solve the unique pose estimation problem based on relative observations unless P=NP. The consequence is that no guarantee can be provided, in a polynomial time, that the possibly estimated poses of the robots will correspond to the effective (actual) ones. The proof is based on complexity theory where we build appropriate polynomial-time reductions interrelating the multirobot localization problem to a well-known NP-complete problem (the partition problem). This NP -hardness result opens questions and perspectives for research into approximations to overcome its intractability. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/TRO.2010.2042753 | IEEE Transactions on Robotics |
Keywords | Field | DocType |
computational complexity,multi-robot systems,NP-hard problem,NP-hardness,complexity theory,deterministic robot-network localization,local observations,multirobot localization problem,partition problem,polynomial-time reductions,pose estimation problem,relative observations,Computational complexity,distributed robot systems,localization,networked robots,relative observations | Partition problem,FP,Control theory,Pose,Function problem,Time complexity,Robot,Deterministic system (philosophy),Mathematics,Computational complexity theory | Journal |
Volume | Issue | ISSN |
26 | 2 | 1552-3098 |
Citations | PageRank | References |
14 | 0.73 | 17 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yoann Dieudonné | 1 | 221 | 19.88 |
| Ouiddad Labbani-Igbida | 2 | 65 | 10.43 |
| Franck Petit | 3 | 736 | 60.02 |