Optimal number of annuli for maximizing the lifetime of sensor networks

  • Authors:
  • Keqin Li

  • Affiliations:
  • -

  • Venue:
  • Journal of Parallel and Distributed Computing
  • Year:
  • 2014

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Abstract

The most effective way to maximize the lifetime of a wireless sensor network (WSN) is to allocate initial energy to sensors such that they exhaust their energy at the same time. The lifetime of a WSN as well as an optimal initial energy allocation are determined by a network design. The main contribution of the paper is to show that the lifetime of a WSN can be maximized by an optimal network design. We represent the network lifetime as a function of the number m of annuli and show that m has significant impact on network lifetime. We prove that if the energy consumed by data transmission is proportional to d^@a+c, where d is the distance of data transmission and @a and c are some constants, then for a circular area of interest with radius R, the optimal number of annuli that maximizes the network lifetime is m=R((@a-1)/c)^1^/^@a for an arbitrary sensor density function.