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Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles

Michael Farber·Mark Grant·Sergey Yuzvinsky
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Abstract

We study motion planning algorithms for collision free control of multiple objects in the presence of moving obstacles. We compute the topological complexity of algorithms solving this problem. We apply topological tools and use information about cohomology algebras of configuration spaces. The results of the paper may potentially be used in systems of automatic traffic control.

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Michael Farber, Mark Grant, Sergey Yuzvinsky. 2006-09-17. Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles. https://arxiv.org/abs/math/0609476

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