Packet routing and job-shop scheduling inO(congestion+dilation) steps
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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.
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- Packet routing and job-shop scheduling inO(congestion+dilation) steps
Volume 14, Issue 2 , pp 167-186
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- 1. Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, 02139, Cambridge, Massachusetts, USA
- 2. School of Computer Science, Carnegie Mellon University, 15213, Pittsburgh, PA, USA
- 3. NEC Research Institute, 4 Independence Way, 08540, Princeton, NJ, USA