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

In this paper, we present the first constant-approximation algorithm for 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 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.