Capacity analysis of maximal flow in ad hoc networks

  • Authors:
  • Jingtao Yu;Pingyi Fan;Kai Cai

  • Affiliations:
  • Tsinghua University, Beijing, P.R. China;Tsinghua University, Beijing, P.R. China;Tsinghua University, Beijing, P.R. China

  • Venue:
  • Proceedings of the 2006 international conference on Wireless communications and mobile computing
  • Year:
  • 2006

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Abstract

Capacity Analysis of network coding is a fundamental problem in communication networks. In this paper, we investigate this problem by generalizing the conventional random graph model as G(n, P,C), where the connecting probability between each pair of nodes p obeys an independent and identical distribution and all the links each have an independent and identical transmission capacity distribution. A tight upper bound of the average value of the maximal flow will be derived based on the proposed random graph model. Moreover, the averaged value and the variance of the maximal flow shall be investigated by some simulations, which demonstrate the effectiveness of our theoretical analysis.