Counting-sort and routing in a single hop radio network

  • Authors:
  • Maciej Gębala;Marcin Kik

  • Affiliations:
  • Institute of Mathematics and Computer Science, Wrocław University of Technology, Wrocław, Poland;Institute of Mathematics and Computer Science, Wrocław University of Technology, Wrocław, Poland

  • Venue:
  • ALGOSENSORS'07 Proceedings of the 3rd international conference on Algorithmic aspects of wireless sensor networks
  • Year:
  • 2007

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Abstract

We consider two problems. First, sorting of n integer keys from the [0, 2m -1] range, stored in p stations of a single-hop and single channel radio network. Second problem is routing of the packets between the stations of the network. We introduce counting-sort algorithm which has 3mri + si + di + 3 energetic cost and nm + n + p time cost, where station ai stores si keys (ri distinct keys) and receives di keys. On the basis of this sorting, we construct routing protocols with energetic costs (3⌈log2p⌉+2)ri+si+di+5 and (3⌈log2p⌉+4)ri+si+di +6, and time costs n⌈log2p⌉+n+3p and r⌈log2 p⌉+n+r+3p, respectively, where r is sum of all ri. Our routing is attractive alternative for previous solutions, since it is efficient, deterministic and simple.