Scheduling imprecise computation tasks on uniform processors |
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Authors: | Guohua Wan Michael L Pinedo |
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Affiliation: | a College of Management, Shenzhen University, Shenzhen 518060, China b Department of Computer Science, New Jersey Institute of Technology, Newark, NJ 07102, USA c Stern School of Business, New York University, 40 West Fourth Street, New York, NY 10012, USA |
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Abstract: | We consider the problem of preemptively scheduling n imprecise computation tasks on m?1 uniform processors, with each task Ti having two weights wi and . Three objectives are considered: (1) minimizing the maximum w′-weighted error; (2) minimizing the total w-weighted error subject to the constraint that the maximum w′-weighted error is minimized; (3) minimizing the maximum w′-weighted error subject to the constraint that the total w-weighted error is minimized. For these objectives, we give polynomial time algorithms with time complexity O(mn4), O(mn4) and O(kmn4), respectively, where k is the number of distinct w-weights. We also present alternative algorithms for the three objectives, with time complexity O(cmn3), O(cmn3+mn4) and O(kcmn3), respectively, where c is a parameter-dependent number. |
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Keywords: | Preemptive scheduling Uniform processors Imprecise computation task Polynomial time algorithms Algorithms Analysis of algorithms Combinatorial problems |
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