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                <title xml:lang="en">A Lower Bound for Dynamic Scheduling of Data Parallel Programs</title>
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              <p>Instruction Balanced Time Slicing (IBTS) allows multiple parallel jobs to be scheduled in a manner akin to the well-known gang scheduling scheme in parallel computers. IBTS however allows for time slices to change dynamically and, under dynamically changing workload conditions is a good non-clairvoyant scheduling technique when the parallel computer is time sliced one job at a time. IBTS-parallel is proposed here as a dynamic scheduling paradigm which improves on IBTS by allowing also dynamically changing space sharing of the computer’s processors. IBTS-parallel is also non-clairvoyant and it is characterized under the competitive ratio metric. A lower bound on its performance is also derived.Supported in part by the Irvine Research Unit in Advanced Computing and NASA under grant #NAG5-3692.Professor Alain Greiner is gratefully acknowledged.Supported by Capes, Brazilian Government, grant number 1897/95-11.</p>
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