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OFDP: a distributed algorithm for finding disjoint paths with minimum total length in wireless sensor networks

Author

Listed:
  • Kejia Zhang

    (Harbin Engineering University)

  • Qilong Han

    (Harbin Engineering University)

  • Guisheng Yin

    (Harbin Engineering University)

  • Haiwei Pan

    (Harbin Engineering University)

Abstract

This paper investigates the MINimum-length- $$k$$ k -Disjoint-Paths (MIN- $$k$$ k -DP) problem: in a sensor network, given two nodes $$s$$ s and $$t$$ t , a positive integer $$k$$ k , finding $$k$$ k (node) disjoint paths connecting $$s$$ s and $$t$$ t with minimum total length. An efficient distributed algorithm named Optimally-Finding-Disjoint-Paths (OFDP) is proposed for this problem. OFDP guarantees correctness and optimality, i.e., (1) it will find $$k$$ k disjoint paths if there exist $$k$$ k disjoint paths in the network or the maximum number of disjoint paths otherwise; (2) the disjoint paths it outputs do have minimum total length. To the best of our knowledge, OFDP is the first distributed algorithm that can solve the MIN- $$k$$ k -DP problem with correctness and optimality guarantee. Compared with the existing centralized algorithms which also guarantee correctness and optimality, OFDP is shown to be much more efficient by simulation results.

Suggested Citation

  • Kejia Zhang & Qilong Han & Guisheng Yin & Haiwei Pan, 2016. "OFDP: a distributed algorithm for finding disjoint paths with minimum total length in wireless sensor networks," Journal of Combinatorial Optimization, Springer, vol. 31(4), pages 1623-1641, May.
    • Handle: RePEc:spr:jcomop:v:31:y:2016:i:4:d:10.1007_s10878-015-9845-2
    DOI: 10.1007/s10878-015-9845-2
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    References listed on IDEAS

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    1. Jiao Zhou & Zhao Zhang & Weili Wu & Kai Xing, 2014. "A greedy algorithm for the fault-tolerant connected dominating set in a general graph," Journal of Combinatorial Optimization, Springer, vol. 28(1), pages 310-319, July.
    2. Deying Li & Qinghua Zhu & Hongwei Du & Jianzhong Li, 2014. "An improved distributed data aggregation scheduling in wireless sensor networks," Journal of Combinatorial Optimization, Springer, vol. 27(2), pages 221-240, February.
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