Mobile Networks and Applications

, Volume 10, Issue 4, pp 519–528

The Coverage Problem in a Wireless Sensor Network


DOI: 10.1007/s11036-005-1564-y

Cite this article as:
Huang, C. & Tseng, Y. Mobile Netw Appl (2005) 10: 519. doi:10.1007/s11036-005-1564-y


One of the fundamental issues in sensor networks is the coverage problem, which reflects how well a sensor network is monitored or tracked by sensors. In this paper, we formulate this problem as a decision problem, whose goal is to determine whether every point in the service area of the sensor network is covered by at least k sensors, where k is a given parameter. The sensing ranges of sensors can be unit disks or non-unit disks. We present polynomial-time algorithms, in terms of the number of sensors, that can be easily translated to distributed protocols. The result is a generalization of some earlier results where only k = 1 is assumed. Applications of the result include determining insufficiently covered areas in a sensor network, enhancing fault-tolerant capability in hostile regions, and conserving energies of redundant sensors in a randomly deployed network. Our solutions can be easily translated to distributed protocols to solve the coverage problem.


ad hoc networkcomputer geometrycoverage problemubiquitous computingwireless networksensor network

Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of Computer Science and Information EngineeringNational Chiao-Tung UniversityHsin-ChuTaiwan