Constructing minimum energy mobile wireless networks

  • Authors:
  • Xiang-Yang Li;Peng-Jun Wan

  • Affiliations:
  • Illinois Institute of Technogy, Chicago, IL;Illinois Institute of Technogy, Chicago, IL

  • Venue:
  • ACM SIGMOBILE Mobile Computing and Communications Review
  • Year:
  • 2001

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Abstract

Energy conservation is a critical issue in designing wireless ad hoc networks, as the nodes are powered by batteries only. Given a set of wireless network nodes, the directed weighted transmission graph Gt has an edge uv if and only if node v is in the transmission range of node u and the weight of uv is typically defined as ||uv||α + c for a constant 2 ≤ α ≤ 5 and c 0. The minimum power topology Gm is the smallest subgraph of Gt that contains the shortest paths between all pairs of nodes, i.e., the union of all shortest paths. In this paper, we described a distributed position-based networking protocol to construct an enclosure graph Ge, which is an approximation of Gm. The time complexity of each node u is O(min(dGt (u)dGe (u), dGt (u) log dGt (u))), where dG (u) is the degree of node u in a graph G. The space required at each node to compute the minimum power topology is O(dGt (u)). This improves the previous result that computes Gm in O(dGt (u)3) time using O(dGt (u)2) spaces. We also show that the average degree dGe (u) is usually a constant, which is at most 6. Our result is first developed for stationary network and then extended to mobile networks.