A lower bound for randomized on-line scheduling algorithms
Information Processing Letters
New algorithms for an ancient scheduling problem
Journal of Computer and System Sciences - Special issue on selected papers presented at the 24th annual ACM symposium on the theory of computing (STOC '92)
A lower bound for randomized on-line multiprocessor scheduling
Information Processing Letters
An optimal algorithm for preemptive on-line scheduling
Operations Research Letters
Preemptive online scheduling: optimal algorithms for all speeds
ESA'06 Proceedings of the 14th conference on Annual European Symposium - Volume 14
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We consider a randomized on-line scheduling problem where each job has to be scheduled on any of m identical processors. The objective is to minimize the expected makespan. We show that the competitive ratio of any randomized algorithm for m=3 processors must be strictly greater than 2719.