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Journal of Combinatorial Optimization

, Volume 32, Issue 4, pp 1052–1067 | Cite as

An improved approximation algorithm for the shortest link scheduling in wireless networks under SINR and hypergraph models

  • Cui Wang
  • Jiguo Yu
  • Dongxiao Yu
  • Baogui Huang
  • Shanshan Yu
Article

Abstract

Link scheduling is a fundamental problem in wireless ad hoc and sensor networks. In this paper, we focus on the shortest link scheduling (SLS) under Signal-to-Interference-plus-Noise-Ratio and hypergraph models, and propose an approximation algorithm \(SLS_{pc}\) (A link scheduling algorithm with oblivious power assignment for the shortest link scheduling) with oblivious power assignment for better performance than GOW* proposed by Blough et al. [IEEE/ACM Trans Netw 18(6):1701–1712, 2010]. For the average scheduling length of \(SLS_{pc}\) is 1 / m of GOW*, where \(m=\lfloor \varDelta _{max}\cdot p \rfloor \) is the expected number of the links in the set V returned by the algorithm HyperMaxLS (Maximal links schedule under hypergraph model) and \(0<p<1\) is the constant. In the worst, ideal and average cases, the ratios of time complexity of our algorithm \(SLS_{pc}\) to that of GOW* are \(O(\varDelta _{max}/\overline{k})\), \(O(1/(\overline{k}\cdot \varDelta _{max}))\) and \(O(\varDelta _{max}/(\overline{k}\cdot m))\), respectively. Where \(\overline{k}\) (\(1<\overline{k}<\varDelta _{max}\)) is a constant called the SNR diversity of an instance G.

Keywords

Wireless network Shortest link scheduling Approximation algorithm Hypergraph model SINR 

Notes

Acknowledgments

The work was partially supported by National Natural Science Foundation of China for contract 61373027, Natural Science Foundation of Shandong Province for contract ZR2012FM023.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Cui Wang
    • 1
  • Jiguo Yu
    • 1
  • Dongxiao Yu
    • 2
  • Baogui Huang
    • 1
  • Shanshan Yu
    • 3
  1. 1.School of Information Science and EngineeringQufu Normal UniversityRizhaoChina
  2. 2.Department of Computer ScienceThe University of Hong KongPokfulamChina
  3. 3.School of Information Science and EngineeringShandong UniversityJinanChina

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