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arXiv · 2408.12468

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

Wei Liang·Shaojie Tang·Zhao Zhang
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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 $m$ 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.

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Wei Liang, Shaojie Tang, Zhao Zhang. 2024-08-22. A Constant-Approximation Algorithm for Budgeted Sweep Coverage with Mobile Sensors. https://arxiv.org/abs/2408.12468

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