, Volume 14, Issue 2, pp 167-186

First online:

Packet routing and job-shop scheduling inO(congestion+dilation) steps

  • F. T. LeightonAffiliated withMathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology
  • , Bruce M. MaggsAffiliated withSchool of Computer Science, Carnegie Mellon University
  • , Satish B. RaoAffiliated withNEC Research Institute

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In this paper, we prove that there exists a schedule for routing any set of packets with edge-simple paths, on any network, inO(c+d) steps, wherec is the congestion of the paths in the network, andd is the length of the longest path. The result has applications to packet routing in parallel machines, network emulations, and job-shop scheduling.

AMS subject classification code (1991)

68 M 20 68 M 10 68 M 07