English

A Constant-Approximation Algorithm for Budgeted Sweep Coverage with Mobile Sensors

Discrete Mathematics 2024-08-23 v1 Data Structures and Algorithms

Abstract

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 mm vertex-disjoint paths that cover as many vertices as possible while adhering to a budget constraint BB. 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.

Keywords

Cite

@article{arxiv.2408.12468,
  title  = {A Constant-Approximation Algorithm for Budgeted Sweep Coverage with Mobile Sensors},
  author = {Wei Liang and Shaojie Tang and Zhao Zhang},
  journal= {arXiv preprint arXiv:2408.12468},
  year   = {2024}
}
R2 v1 2026-06-28T18:20:56.603Z