Asymptotic constant-factor approximation algorithm for the Traveling Salesperson Problem for Dubins' vehicle
<|reference_start|>Asymptotic constant-factor approximation algorithm for the Traveling Salesperson Problem for Dubins' vehicle: This article proposes the first known algorithm that achieves a constant-factor approximation of the minimum length tour for a Dubins' vehicle through $n$ points on the plane. By Dubins' vehicle, we mean a vehicle constrained to move at constant speed along paths with bounded curvature without reversing direction. For this version of the classic Traveling Salesperson Problem, our algorithm closes the gap between previously established lower and upper bounds; the achievable performance is of order $n^{2/3}$.<|reference_end|>
@article{savla2006asymptotic,
    title={Asymptotic constant-factor approximation algorithm for the Traveling
  Salesperson Problem for Dubins' vehicle},
    author={Ketan Savla, Emilio Frazzoli and Francesco Bullo},
    journal={arXiv preprint arXiv:cs/0603010},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0603010},
    primaryClass={cs.RO}
}