Asymptotical optimality of WSEPT for stochastic online scheduling on uniform machines |
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Authors: | Manzhan Gu Xiwen Lu |
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Institution: | (3) Department of Statistics, Universidad Carlos III de Madrid, Getafe, Spain; |
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Abstract: | We study the stochastic online scheduling on m uniform machines with the objective to minimize the expected value of total weighted completion times of a set of jobs that arrive over time. For each job, the processing time is a random
variable, and the distribution of processing time is unknown in advance. The actual processing time could be known only when
the job is completed. For the problem, we propose a policy which is proved to be asymptotically optimal when the processing
times and weights are uniformly bounded, i.e. the relative error of the solution achieved by our policy approaches zero as
the number of jobs increases to infinity. |
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Keywords: | |
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