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Issue No. 09 - September (2008 vol. 19)
ISSN: 1045-9219
pp: 1263-1279
Yuxiong He , Singapore MIT Alliance, Nanyang Technological University, Singapore
Wen-Jing Hsu , Nanyang Technological University, Singapore
Charles E. Leiserson , MIT, Cambridge
Multiprocessor scheduling in a shared multiprogramming environment can be structured in two levels, where a kernel-level job scheduler allots processors to jobs and a user-level thread scheduler maps the ready threads of a job onto the allotted processors. We present two provably-efficient two-level scheduling schemes called G-RAD and S-RAD respectively. Both schemes use the same job scheduler RAD for the processor allotments that ensures fair allocation under all levels of workload. In G-RAD, RAD is combined with a greedy thread scheduler suitable for centralized scheduling; in S-RAD, RAD is combined with a work-stealing thread scheduler more suitable for distributed settings. Both G-RAD and S-RAD are non-clairvoyant. Moreover, they provide effective control over the scheduling overhead and ensure efficient utilization of processors. We also analyze the competitiveness of both G-RAD and S-RAD with respect to an optimal clairvoyant scheduler. In terms of makespan, both schemes can achieve O(1)-competitiveness for any set of jobs with arbitrary release time. In terms of mean response time, both schemes are O(1)-competitive for arbitrary batched jobs. To the best of our knowledge, G-RAD and S-RAD are the first non-clairvoyant scheduling algorithms that guarantee provable efficiency, fairness and minimal overhead.
Scheduling and task partitioning, Multiple Data Stream Architectures (Multiprocessors), General

C. E. Leiserson, W. Hsu and Y. He, "Provably Efficient Online Nonclairvoyant Adaptive Scheduling," in IEEE Transactions on Parallel & Distributed Systems, vol. 19, no. , pp. 1263-1279, 2008.
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