On update algorithms for quickest paths

  • Authors:
  • Y.C Bang;S Radhakrishnan;N. S. V Rao;S.G Batsell

  • Affiliations:
  • School of Computer Science, University of Oklahoma, Norman, OK 73019, USA;School of Computer Science, University of Oklahoma, Norman, OK 73019, USA;Oak Ridge National Laboratory, Oak Ridge, TN 37831-6364, USA;Oak Ridge National Laboratory, Oak Ridge, TN 37831-6364, USA

  • Venue:
  • Computer Communications
  • Year:
  • 2000

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Abstract

The quickest path problem deals with the transmission of a message of size @s from a source to a destination with the minimum end-to-end delay over a network with bandwidth and delay constraints on the links. The path-table that maps all intervals for @s to the corresponding quickest paths can be computed in O(m^2+mnlogn) time, where n and m are the number of nodes and links of the network, respectively. We propose linear-time algorithms that update the path-table after a increase or decrease bandwidth of a link or a path, respectively.