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Approximating Maximum Lifetime $k$ -Coverage Through Minimizing Weighted $k$ -Cover in Homogeneous Wireless Sensor Networks

Published: 01 December 2016 Publication History

Abstract

Energy efficiency is an important issue in the study of wireless sensor networks. Given a set of targets and a set of sensors with bounded lifetime, the maximum lifetime \(k\) -coverage problem is to schedule active/sleeping status of sensors to maximize the time period during which every target is covered by at least \(k\) active sensors. Previously, it was known that when the sensing ranges are uniform, this problem has a polynomial-time \(4+\varepsilon \) -approximation for \(k=1\) and \(6+\varepsilon \) -approximation for \(k=2\) . In this paper, we make significant progress by showing that for any positive integer \(k\) , there exists a polynomial-time \(3+\varepsilon \) -approximation.

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      cover image IEEE/ACM Transactions on Networking
      IEEE/ACM Transactions on Networking  Volume 24, Issue 6
      December 2016
      635 pages

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      IEEE Press

      Publication History

      Published: 01 December 2016
      Published in TON Volume 24, Issue 6

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      • (2024)Distributed homology-based algorithm for solving Set k-Cover problem in heterogeneous directional sensor networksThe Journal of Supercomputing10.1007/s11227-023-05721-280:5(6946-6964)Online publication date: 1-Mar-2024
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      • (2022)Constant Approximation for the Lifetime Scheduling Problem of p-Percent CoverageINFORMS Journal on Computing10.1287/ijoc.2022.120134:5(2675-2685)Online publication date: 1-Sep-2022
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