Fast algorithms for finding O(congestion+dilation) packet routing schedules

  • Authors:
  • T. Leighton;B. Maggs

  • Affiliations:
  • -;-

  • Venue:
  • HICSS '95 Proceedings of the 28th Hawaii International Conference on System Sciences
  • Year:
  • 1995

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Abstract

Leighton, Maggs and Rao (1988) showed that for any network and any set of packets whose paths through the network are fixed and edge-simple, there exists a schedule for routing the packets to their destinations in O(c+d) steps using constant-size queues, where c is the congestion of the paths in the network, and d is the length of the longest path (the dilation). The proof, however, used the Lova/spl acute/sz (1975) local lemma and was not constructive. In this paper, we show how to find such a schedule in O(NE+Elog/sup /spl epsiv//E) time, for any fixed /spl epsiv/