Approximation Algorithms For Scheduling On Uniform Processors

Abstract
The problem of scheduling independent tasks on uniform processors in order to minimize the maximum completion time of the schedule is strongly NP-complete. Therefore, the existence of a polynomial or even a pseudo-polynomial time algorithm is very unlikely unless P = NP. This paper deals with approximation schemes which attempt to find a solution in polynomial time that is close to the optimal solution. Specifically, two variants of LPT scheduling are shown: one which is polynomial time and the other a probabilistically good algorithm.

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