Online exploration outside a convex obstacle

Shai Gul; Eitan Tiktinsky; Slava Shamshanov; Reuven Cohen

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arXiv · 1807.02773

Online exploration outside a convex obstacle

Shai Gul·Eitan Tiktinsky·Slava Shamshanov·Reuven Cohen

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Abstract

A watchman path is a path such that a direct line of sight exists between each point in some region and some point along the path. Here, we study the online watchman path problem outside a convex polygon, i.e., in $\mathbb{R}^2\setminus \Omega$, where $\Omega$ is a convex polygon that is not known in advance. We present an algorithm for the exploration of the region outside the polygon. We prove that the presented algorithms guarantees a $\approx 22.77$ competitive ratio compared to the optimal offline watchman path.

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Shai Gul, Eitan Tiktinsky, Slava Shamshanov, Reuven Cohen. 2018-07-08. Online exploration outside a convex obstacle. https://arxiv.org/abs/1807.02773

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