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Parallel linear programming in fixed dimension almost surely in constant time

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2 Author(s)
Alon, N. ; IBM Almaden Res. Center, San Jose, CA, USA ; Megiddo, Nimrod

It is shown that, for any fixed dimension d, the linear programming problem with n inequality constraints can be solvent on a probabilistic CRCW PRAM (concurrent-read-concurrent-write parallel random-access machine) with O(n) processors almost surely in constant time. The algorithm always finds the correct solution. With nd/log2d processors, the probability that the algorithm will not finish within O(d 2log2d) time tends to zero exponentially with n

Published in:

Foundations of Computer Science, 1990. Proceedings., 31st Annual Symposium on

Date of Conference:

22-24 Oct 1990