Packet routing and job-shop scheduling in O(congestion+dilation) steps
Received: 02 January 1991 Revised: 30 October 1993 DOI:
10.1007/BF01215349 Cite this article as: Leighton, F.T., Maggs, B.M. & Rao, S.B. Combinatorica (1994) 14: 167. doi:10.1007/BF01215349 Abstract
In this paper, we prove that there exists a schedule for routing any set of packets with edge-simple paths, on any network, in
O(c+d) steps, where c is the congestion of the paths in the network, and d 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
This research was conducted while the authors were at MIT. Support was provided by the Defense Advanced Research Projects Agency under Contract N00014-87-K-825, the Office of Naval Research under Contract N00014-86-K-0593, the Air Force under Contract OSR-86-0076, and the Army under Contract DAAL-03-86-K-0171. Tom Leighton is supported by an NSF Presidential Young Investigator Award with matching funds provided by IBM.
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