Skip to main content
SpringerLink
Log in

Relay node placement in two-tiered wireless sensor networks with base stations

  • Published:
Journal of Combinatorial Optimization Aims and scope Submit manuscript

Abstract

This paper addresses the relay node placement problem in two-tiered wireless sensor networks with base stations, which aims to deploy a minimum number of relay nodes to achieve certain coverage and connectivity requirement. Under the assumption that the communication range of the sensor nodes is no more than that of the relay node, we present a polynomial time (5+ϵ)-approximation algorithm for the 1-coverage 1-connected problem. Furthermore, we consider the fault tolerant problem in the network, we present a polynomial time (20+ϵ)-approximation algorithm for the 2-coverage 2-connected problem, where ϵ is any given positive constant. For the k-coverage 2-connected situation, we present a polynomial time (15k−10+ϵ)-approximation algorithm.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Algorithm 1
Algorithm 2
Algorithm 3
Fig. 1
Algorithm 4

Similar content being viewed by others

References

  • Akyildiz IF, Su W, Sankarasubramaniam Y, Cayirci E (2002) Wireless sensor networks: a survey. Comput Netw 393–422

  • Cheng X, Du DZ, Wang L, Xu B (2008) Relay sensor placement in wireless sensor networks. Wirel Netw 14(3):347–355

    Article  Google Scholar 

  • Estrin D, Govindan R, Heidemann J, Kumar S (1999) Next century challenges: scalable coordination in sensor networks. In: ACM MobiCom, pp 263–270

    Google Scholar 

  • Gupta G, Younis M (2003) Fault-tolerant clustering of wireless sensor networks. In: Procceding of IEEE WCNC, pp 1579–1584

    Google Scholar 

  • Hao B, Tang J, Xue G (2004) Fault-tolerant relay node placement in wireless sensor networks: Formulation and approximation. In: Proc IEEE HPSR, pp 246–250

    Google Scholar 

  • Hochbaum DS, Maass W (1985) Approximation schemes for covering and packing in image processing and VLSI. J ACM 32(1):130–136

    Article  MathSciNet  MATH  Google Scholar 

  • Kashyap A, Khuller S, Shayman M (2006) Relay placement for higher order connectivity in wireless sensor networks. In: IEEE INFOCOM, pp 1–12

    Google Scholar 

  • Liu H, Wan P, Jia X (2005) Fault-tolerant relay node placement in wireless sensor networks. LNCS, vol 3595, pp 230–239

    Google Scholar 

  • Lloyd E, Xue G (2007) Relay node placement in wireless sensor networks. IEEE Trans Comput 56:134–138

    Article  MathSciNet  Google Scholar 

  • Meesookho C, Narayanan S, Raghavendra C (2002) Collaborative classification applications in sensor networks. In: Proc of second IEEE multichannel and sensor array signal processing workshop, pp 370–374

    Google Scholar 

  • Misra S, Hong S, Xue G, Tang J (2010) Constrained relay node placement in wireless sensor networks: formulation and approximations. IEEE/ACM Trans Netw 18(2):434–447

    Article  Google Scholar 

  • Pan J, Hou YT, Cai L, Shi Y, Shen SX (2003) Topology control for wireless sensor networks. In: ACM MobiCom, pp 286–299

    Google Scholar 

  • Saif Shams SM, Aminul Haque Chowdhury MD, Kim KH (2008) A fast approximation algorithm for relay node placement in double-tiered wireless sensor network. In: IEEE Mil Commun Conf, pp 1–6

    Google Scholar 

  • Schwiebert L, Gputa SKS, Weinmann J (2002) Research challenges in wireless networks of biomedical sensors. In: Mobile Commun Netw, pp 151–165

    Google Scholar 

  • Srinivas A, Zussman G, Modiano E (2006) Mobile backbone networks- Construction and maintenance. In: Proc ACM Mobihoc, pp 166–177

    Google Scholar 

  • Tang J, Hao B, Sen A (2006) Relay node placement in large scale wireless sensor networks. In: Comput Commun, pp 490–501

    Google Scholar 

  • Zhang W, Xue G, Misra S (2007) Fault-tolerant relay node placement in wireless sensor networks: problems and algorithms. In: IEEE INFOCOM, pp 1649–1657

    Google Scholar 

  • Yang D, Misra S, Fang X, Xue G, Zhang J (2011) Two-tiered constrained relay node placement in wireless sensor networks: computational complexity and efficient approximations. IEEE Trans Mobile Comput, Jun 2011, IEEE Computer Society Digital library

Download references

Acknowledgements

The authors would like to thank the anonymous referees and Associate Editor for the detailed comments and suggestions which have improved the presentation of the paper.

Author information

Authors and Affiliations

  1. The Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou, 310018, P.R. China

    Guangting Chen & Suhui Cui

Authors
  1. Guangting Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Suhui Cui
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Guangting Chen.

Additional information

This research has been supported by NSF of China (Nos. 60872093, 11071219).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, G., Cui, S. Relay node placement in two-tiered wireless sensor networks with base stations. J Comb Optim 26, 499–508 (2013). https://doi.org/10.1007/s10878-012-9451-5

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10878-012-9451-5

Keywords

Search

Navigation