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arXiv · 1204.5828

The traveling salesman problem for lines and rays in the plane

Adrian Dumitrescu
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Abstract

In the Euclidean TSP with neighborhoods (TSPN), we are given a collection of $n$ regions (neighborhoods) and we seek a shortest tour that visits each region. In the path variant, we seek a shortest path that visits each region. We present several linear-time approximation algorithms with improved ratios for these problems for two cases of neighborhoods that are (infinite) lines, and respectively, (half-infinite) rays. Along the way we derive a tight bound on the minimum perimeter of a rectangle enclosing an open curve of length $L$.

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Adrian Dumitrescu. 2012-04-26. The traveling salesman problem for lines and rays in the plane. https://arxiv.org/abs/1204.5828

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