An Approximation Algorithm for Energy-Efficient Scheduling on A Chip Multiprocessor
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This paper targets energy-efficient scheduling oftasks over multiple processors, where tasks share a commondeadline. Distinct from many research results onheuristics-based energy-efficient scheduling, we proposeapproximation algorithms with different approximationbounds for processors with/without constraintson the maximum processor speed, where no task migrationis allowed. When there is no constraint onprocessor speeds, we propose an approximation algorithmfor two-processor scheduling to provide trade-offsamong the specified error, the running time, the approximationratio, and the memory space complexity. Anapproximation algorithm with a 1.13-approximation ratiofor M-processor systems is also derived (M 2).When there is an upper bound on processor speeds, anartificial-bound approach is taken to minimize the energyconsumption with a 1.13-approximation ratio. Anoptimal scheduling algorithm is then proposed in the minimizationof the energy consumption when task migrationis allowed.