Wireless Networks

, Volume 14, Issue 3, pp 347–355 | Cite as

Relay sensor placement in wireless sensor networks

  • Xiuzhen Cheng
  • Ding-Zhu Du
  • Lusheng Wang
  • Baogang Xu


This paper addresses the following relay sensor placement problem: given the set of duty sensors in the plane and the upper bound of the transmission range, compute the minimum number of relay sensors such that the induced topology by all sensors is globally connected. This problem is motivated by practically considering the tradeoff among performance, lifetime, and cost when designing sensor networks. In our study, this problem is modelled by a NP-hard network optimization problem named Steiner Minimum Tree with Minimum number of Steiner Points and bounded edge length (SMT-MSP). In this paper, we propose two approximate algorithms, and conduct detailed performance analysis. The first algorithm has a performance ratio of 3 and the second has a performance ratio of 2.5.


Wireless sensor networks Relay sensor Steiner point SMT-MSP Topology control 


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Copyright information

© Springer Science + Business Media, LLC 2007

Authors and Affiliations

  • Xiuzhen Cheng
    • 1
  • Ding-Zhu Du
    • 2
  • Lusheng Wang
    • 3
  • Baogang Xu
    • 4
  1. 1.Department of Computer ScienceThe George Washington UniversityWashingtonUSA
  2. 2.Department of Computer ScienceThe University of Texas at DallasRichardsonUSA
  3. 3.Department of Computer ScienceCity University of Hong KongKowloon
  4. 4.School of Math. and Computer ScienceNanjing Normal UniversityNanjingP.R. China

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