• Media type: Text; E-Article; Electronic Conference Proceeding
  • Title: Multi-Robot Motion Planning of k-Colored Discs Is PSPACE-Hard
  • Contributor: Brocken, Thomas [Author]; van der Heijden, G. Wessel [Author]; Kostitsyna, Irina [Author]; Lo-Wong, Lloyd E. [Author]; Surtel, Remco J. A. [Author]
  • Published: Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2020
  • Language: English
  • DOI: https://doi.org/10.4230/LIPIcs.FUN.2021.15
  • Keywords: Disc-robot motion planning ; PSPACE-hard ; algorithmic complexity
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  • Description: In the problem of multi-robot motion planning, a group of robots, placed in a polygonal domain with obstacles, must be moved from their starting positions to a set of target positions. We consider the specific case of unlabeled disc robots of two different sizes. That is, within one class of robots, where a class is given by the robots' size, any robot can be moved to any of the corresponding target positions. We prove that the decision problem of whether there exists a schedule moving the robots to the target positions is PSPACE-hard.
  • Access State: Open Access