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arXiv · 2410.08627

Making a Complete Mess and Getting Away with it: Traveling Salesperson Problems with Circle Placement Variants

David Woller·Masoumeh Mansouri·Miroslav Kulich
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Abstract

This paper explores a variation of the Traveling Salesperson Problem, where the agent places a circular obstacle next to each node once it visits it. Referred to as the Traveling Salesperson Problem with Circle Placement (TSP-CP), the aim is to maximize the obstacle radius for which a valid closed tour exists and then minimize the tour cost. The TSP-CP finds relevance in various real-world applications, such as harvesting, quarrying, and open-pit mining. We propose several novel solvers to address the TSP-CP, its variant tailored for Dubins vehicles, and a crucial subproblem known as the Traveling Salesperson Problem on self-deleting graphs (TSP-SD). Our extensive experimental results show that the proposed solvers outperform the current state-of-the-art on related problems in solution quality.

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David Woller, Masoumeh Mansouri, Miroslav Kulich. 2024-10-11. Making a Complete Mess and Getting Away with it: Traveling Salesperson Problems with Circle Placement Variants. https://doi.org/10.1109/lra.2024.3445817

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