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Multi-Agent Path Finding (MAPF) is a challenging combinatorial problem that asks us to plan collision-free paths for team of cooperative agents. One of the reasons MAPF problems are so hard to solve is due to a phenomena called pairwise path symmetry, which occurs when two agents have many equivalent paths, all of which appear promising, but which are pairwise incompatible because they result in a collision. The symmetry arises commonly in practice and can produce an exponential explosion in the space of possible collision resolutions, leading to unacceptable runtimes for currently state-of-the-art MAPF algorithms that employ heuristic search, such as Conflict-based Search (CBS). To break symmetries, we propose a variety of constraint-based reasoning techniques, to detect the symmetries as they arise and to efficiently eliminate, in a single branching step, all permutations of two currently assigned but pairwise incompatible paths.
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Yair Margalit, Zhifan Zhou, Or Dobkowski, Yonathan Japha, Daniel Rohrlich, Samuel Moukouri, Ron Folman
arXiv, 1801.02708 (2018).
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Zhifan Zhou, Yair Margalit, Samuel Moukouri, Yigal Meir, and Ron Folman.
Science Advances, 6, eaay8345 (2020).
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Zhifan Zhou, Jie Zhao, Rory W. Spiers, Nicholas Brewer, Meng-Chang Wu, Paul D. Lett.
Conference on Lasers and Electro-Optics, OSA Technical Digest (Optical Society of America, 2021), JTu3A.48.
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Undergraduate course, University 1, Department, 2014
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Workshop, University 1, Department, 2015
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