Exact Pareto-optimal coordination of two translating polygonal robots on an acyclic roadmap

We present an algorithm that computes the complete set of Pareto-optimal coordination strategies for two translating polygonal robots in the plane. A collision-free acyclic roadmap of piecewise-linear paths is given on which the two robots move. The robots have a maximum speed and are capable of ins...

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Hauptverfasser: Chitsaz, H., O'Kane, J.M., LaValle, S.M.
Format: Tagungsbericht
Sprache:eng
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Zusammenfassung:We present an algorithm that computes the complete set of Pareto-optimal coordination strategies for two translating polygonal robots in the plane. A collision-free acyclic roadmap of piecewise-linear paths is given on which the two robots move. The robots have a maximum speed and are capable of instantly switching between any two arbitrary speeds. Each robot would like to minimize its travel time independently. The Pareto-optimal solutions are the ones for which there exist no solutions that are better for both robots. The algorithm computes exact solutions in time O(mn/sup 2/ log n), in which m is the number of paths in the roadmap, n is the number of coordination space vertices. An implementation is presented.
ISSN:1050-4729
2577-087X
DOI:10.1109/ROBOT.2004.1308892