Changeable Sweep Coverage Problem

TL;DR

This paper introduces the Chargeable Sweep Coverage (CSC) problem for rechargeable sensors, analyzing its complexity and proposing approximation algorithms for special cases to enhance energy-efficient periodic coverage.

Contribution

It defines the CSC problem for the first time, studies its complexity, and develops approximation algorithms for specific constrained scenarios.

Findings

Both CSC problems are NP-hard.

Proposed algorithms are validated through theoretical proofs.

Algorithms demonstrate scalability in simulations.

Abstract

Sweep coverage is to realize the periodic coverage of targets by planning the periodic sweeping paths of mobile sensors. It is difficult for sensors to reduce energy consumption by reducing the moving distances. Therefore, charging technology is the best way to extend the lifetime of the sweep coverage network. This paper studies the sweep coverage of rechargeable sensors: the sensors are rechargeable, constantly sweep between the target points and the charging stations not only tp meet the periodic coverage requirement of the target points, but also need to return to the charging stations during the charging period to avoid running out of energy. This paper proposes the general definition of Chargeable Sweep Coverage (CSC) problem for the first time, and studies the complexity of the CSC problem by analyzing CSC problems under different constraints, and then proposes two kinds of CSC problems under special constraints: 1) The sensors need to return to their original charging stations for charging; 2) The sensors can go to different charging stations for charging, and the number of charging stations is 2. Both of these problems are NP-hard. In this paper, these two problems are modeled as the maximum set coverage problem, and the approximation algorithms are obtained by reducing the number of candidate paths to polynomials. The validity and scalability of the proposed algorithms is proved by theoretical proof and experimental simulation.