Bounds on evacuation time for deflection routing

  • Authors:
  • B. Hajek

  • Affiliations:
  • Department of Electrical and Computer Engineering and the Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL

  • Venue:
  • Distributed Computing
  • Year:
  • 1991

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Abstract

Upper bounds are given on the time T needed to evacuate k packets from a synchronous packet network using deflection routing, whereby all packets that arrive at a node during one time slot leave the node during the next slot. For example, T ≤ n + 2(k-1) for a binary n-cube network when priority is given to packets closer to their destination, and for a single destination network T is less than or equal to the network diameter plus k-1 times the network deflection index. Deflection routing for one pass through an omega network is also considered.