A Constant-Approximation Algorithm for Budgeted Sweep Coverage with Mobile Sensors
<|reference_start|>A Constant-Approximation Algorithm for Budgeted Sweep Coverage with Mobile Sensors: In this paper, we present the first constant-approximation algorithm for {\em budgeted sweep coverage problem} (BSC). The BSC involves designing routes for a number of mobile sensors (a.k.a. robots) to periodically collect information as much as possible from points of interest (PoIs). To approach this problem, we propose to first examine the {\em multi-orienteering problem} (MOP). The MOP aims to find a set of $m$ vertex-disjoint paths that cover as many vertices as possible while adhering to a budget constraint $B$. We develop a constant-approximation algorithm for MOP and utilize it to achieve a constant-approximation for BSC. Our findings open new possibilities for optimizing mobile sensor deployments and related combinatorial optimization tasks.<|reference_end|>
@article{liang2024a,
    title={A Constant-Approximation Algorithm for Budgeted Sweep Coverage with
  Mobile Sensors},
    author={Wei Liang, Shaojie Tang and Zhao Zhang},
    journal={arXiv preprint arXiv:2408.12468},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.12468},
    primaryClass={cs.DM cs.DS}
}